The uniform slender rod of mass m pivots freely about a fixed axis through point O. A linear spring, with spring constant of k 200 N/m, is fastened to a cord passing over a frictionless pulley at C and then secured to the rod at A. If the rod is released from rest in the horizontal position shown, when the spring is unstretched, it is observed to rotate through a maximum angular displacement of 30° below the horizontal. Determine (a) The mass m of the rod? (b) The angular velocity of the rod when the angular displacement is 15° below the horizontal?

The component of forces acting on member ABD Aₓ and A[tex]_y[/tex] are 1390lb← and 740lb↑ respectively.

A component is a piece that makes up something. Similar to how parts of a force are expressed by pointing in their directions, so does a force. These are typically categorised as vertical and horizontal components.

If I push you horizontally with some force, the horizontal force component is equal to the total force, and the vertical force component is equal to zero.

The horizontal component of force is F·cos30° and the vertical component is F·cos30 if a bullet is fired at, say, a 30° angle to the horizontal, and you draw a right-angled triangle with the bullet's path as the hypotenuse (though it's parabolic for long distances).

Calculate the reaction force acting at E

Take the moments about point A

[tex]\begin{gathered}\\\sum M_A=0 \\\left(E_x\right)(12)-(430)(15)-(310)(33)=0 \\E_x=1390 lb \\A_x=1390 lb\\\\\end{gathered}[/tex]

Now,

[tex]A_y - 430 -310 = 0\\A_y = 740 \ lb[/tex]

Take the moments about point B

[tex]\Sigma M_b =0\\(D-y)(18)- 740\times 6 = 0\\D-y=246.55\lb[/tex]

Substitute 2780 lb for Dx

[tex]B_x+D_x-1390=0[/tex]

[tex]\\B_x+2780-1390=0 \\B_x=-1390\ \text{lb}[/tex]

Consider the equilibrium equation along y axis in the member ABD, Substitute 246.66 lb for Dy

[tex]\\B_y+D_y+740=0\\B_y+246.66+740=0 \\B_y=-986.66 \mathrm{lb}\end{gathered}[/tex]

Using the free body diagram of member ABD and the equilibrium equations the component forces Bx and By have been calculated. Since we got negative values for Bx and By that means the direction of forces Bx and By are opposite to the assumed direction.

Thus, The component forces Aₓ and A[tex]_y[/tex] are 1390lb← and 740lb↑ respectively.

Learn more about  component of forces

https://brainly.com/question/15443509

#SPJ4

The protection that  must be provided when installing a cable in a notched stud or joist are:

If a nonmetallic cables is said to pass through holes or slots in metal framing members, the cable that need to ]be protected is through bushings or grommets and it is used to cover all metal edges and rightly fastened in the opening before one can install the cable.

Hence, The protection that  must be provided when installing a cable in a notched stud or joist are:

Learn more about cable installation from

https://brainly.com/question/14721758

#SPJ1

Answer:

The wheel will go through 1146 revolutions in 5 minutes.

Explanation:

We can the formula:

[tex]\boxed{\omega = \frac{2 \pi}{T}}[/tex]

where

ω ⇒ angular speed (24 rad/s),

T ⇒ time period (? s),

and solve for T to find the time it takes for the wheel to complete one revolution.

⇒  [tex]24 = \frac{2 \pi}{T}[/tex]

⇒  [tex]T = \bf \frac{2 \pi}{24}[/tex]  s

This means it takes [tex]\bf \frac{2 \pi}{24}[/tex] seconds for the wheel to complete one revolution.

Now, using the unitary method,

In [tex]\frac{2 \pi}{24}[/tex] seconds          ⇒    1 revolution completed

In 1 second              ⇒    1 ÷ [tex]\frac{2 \pi}{24}[/tex]   =  [tex]\frac{24}{2 \pi}[/tex]  revolutions completed

In (5 × 60 = ) 300s  ⇒     [tex]\frac{24}{2 \pi}[/tex]   ×  300   = 1145.9

                                                            ≅ 1146 revolutions completed

Until emergency assistance arrives, portable fire extinguishers can put out or manage a fire.

The use of portable fire extinguishers can put out or contain a fire until emergency assistance is received.

Utilize portable units exclusively for small flames or fires that are still in the early stages because their discharge times are often only a few seconds. Make a plan for a getaway. Avoid breathing in the extinguishing agent and smoke by keeping low to the ground.

Only use a portable fire extinguisher when a fire is small, restricted to a single area, and not made up of extremely flammable materials. If the fire becomes out of control, leave the premises right away and get assistance.

To learn more about fire extinguishers refer to:

https://brainly.com/question/17687941

#SPJ1

The net radiation heat transfer between the two plates per unit surface area of the plates with shield and without shied are respectively; 2282.76 W/m² and 9766.75 W/m²

We are given;

Temperature 1; T₁

Temperature 2; T₂

Temperature 3; T₃

Emissivity 1; ε₁ = 0.3

Emissivity 2; ε₂ = 0.7

Emissivity 3; ε₃ = 0.2

The net rate of radiation heat transfer with a thin aluminum shield per unit area of the plates with shield is;

Q'₁₂ = σ(T₁⁴ - T₂⁴)]/[((1/ε₁) + (1/ε₂) - 1) + ((1/ε₃,₁) + (1/ε₃,₂) - 1)]

Q'₁₂ = 5.67 * 10⁻⁸(900⁴ - 300⁴)/[((1/0.3) + (1/0.7) - 1) + ((1/0.15) + (1/0.15) - 1)]

Q'₁₂,shield = 2282.76 W/m²

The net rate of radiation heat transfer with a thin aluminum shield per unit area of the plates with no shield is;

Q'₁₂,no shield = σ(T₁⁴ - T₂⁴)]/((1/ε₁) + (1/ε₂) - 1))

Q'₁₂,no shield = 5.67 * 10⁻⁸(900⁴ - 300⁴)/[(1/0.3) + (1/0.7) - 1)]

Q'₁₂,no shield = 9766.75 W/m²

Then the ratio of radiation heat transfer for the two cases becomes;

Q'₁₂,shield/Q'₁₂,no shield = 2282.76/9766.75 = 0.2337 or 4/17

Read more about Net Radiation Heat Transfer at; https://brainly.com/question/14148915

#SPJ1

A Weave lane is a single lane used by drivers to enter and exit a freeway.

Weave lanes are known to be lanes that acts as an entrance and exits for a lot of cars in highways.

Hence, one can say that A Weave lane is a single lane used by drivers to enter and exit a freeway.

Learn more about Weave lane from

https://brainly.com/question/10828527

#SPJ1

The power required for this mixer is 14700000 Watts.

The power required for the mixer can be calculated using the following formula:

Power = (G^2 * Detention Time) / (Flow Rate * 8.34)

where G is the mixer's specific energy input in m^3/s^3, Detention Time is the time the liquid spends in the mixer in seconds, Flow Rate is the flow of the liquid through the mixer in m^3/s, and 8.34 is a constant.

Plugging in the given values:

Power = (700^2 * 30) / (20000/86400 * 8.34)

Power = (490000 * 30) / (0.002314814814814815)

Power = 14700000

So the power required for this mixer is 14700000 Watts.

Therefore, the correct answer is as given above. It can be concluded that the power required for this mixer is 14700000Watts.

learn more about Power: https://brainly.com/question/2248465

#SPJ1

Note that the SMART technique for problem-solving and goal-setting was introduced. In this approach:

The act of describing a problem, discovering the origin of the problem, finding, prioritizing, and selecting alternatives for a solution, and executing a solution is known as problem-solving.

Employers value problem-solving abilities because they demonstrate a variety of other qualities such as logic, creativity, resilience, imagination, lateral thinking, and drive. It is a necessary ability for both your professional and personal life.

Learn more about Problem-Solving:
https://brainly.com/question/29438624
#SPJ1

The strategies for dealing with the problem of self-occlusion in object data capture are:

Occlusion is known to often takes place if  two or more objects are seen too close and are seen to be merged or combine with one another.

Note that in the case above, The strategies for dealing with the problem of self-occlusion in object data capture are:

Learn more about  object detection from

https://brainly.com/question/14675134

#SPJ1

In regards to high-wind installations, if an old composition asphalt shingle roof is going to be replaced, the roofing contractor should remove the existing shingles and underlayment.

High Wind is known to be a newly created installation techniques that is often used in the installation of offshore wind turbines and this is often done at  higher wind speeds.

Note that, In regards to high-wind installations, if an old composition asphalt shingle roof is going to be replaced, the roofing contractor should remove the existing shingles and underlayment.

Learn more about installations from

https://brainly.com/question/13093522

#SPJ1

The first step that is needed in order to shift the reverse would be to Push down on the shift lever.

This is the term that is used in driving to explain the scenario that occurs due to the fact that a person has to go through a system of changing gears while they are driving. An example of how this is used is when a person says that there car has a manual transmission instead of automatic transmission.

This would mean that this person would be the one that would be changing the gears while driving on their own. To do this what would be done is to Push down on the shift lever.

Read more on driving here: https://brainly.com/question/1557131

#SPJ1

Maximum absolute values of the shear = 28 KN

Maximum absolute values of bending moment = 5.7 KN.m

A) We can see the beam loaded in the first image attached.

For the shear diagram, let us calculate the shear from point load to point load.

From A to C, summing vertical to zero gives; ∑fy = 0: -20 - V = 0

V = -20 KN

From C to D, summing vertical to zero gives; ∑fy = 0: -20 + 48 - V = 0

V = 28 KN

From D to E, summing vertical to zero gives; ∑fy = 0: -20 + 48 - 20 - V = 0

V = 8 KN

From E to B, summing vertical to zero gives; ∑fy = 0: -20 + 48 - 20 - 20 - V = 0

V = -12 KN

For the bending moment diagram, let us calculate the bending moment from point load to point load.

At point A, the bending moment would be zero. Thus, M_A = 0 KN.m

At point C, taking moment about point C and equating to zero gives;

M_C = 0. Thus; 20(0.225) + M = 0

M = -4.5 KN.m

At point D, taking moment about point D and equating to zero gives;

M_D = 0. Thus; 20(0.525) - 48(0.3) + M = 0

M = 3.9 KN.m

At point E, taking moment about point E and equating to zero gives;

M_D = 0. Thus; 20(0.75) - 48(0.525) + 20(0.225) + M = 0

M = 5.7 KN.m

At point B, taking moment about point E and equating to zero gives;

M_E = 0. Thus; 20(1.05) - 48(0.825) + 20(0.525) + (20 * 0.3) + M = 0

M = 2.1 KN.m

2) From the attached diagrams, we can deduce that;

Maximum absolute values of the shear = 28 KN

Maximum absolute values of bending moment = 5.7 KN.m

Read more about shear force & bending moment diagram at; https://brainly.com/question/14834487

#SPJ1

First generation computers were also referred to as vacuum-tube computer and they can be defined as a type of computer system that were designed and developed to make use of vacuum tubes for their logic circuitry.

Read more on first generation computers here: https://brainly.com/question/10937733

#SPJ1

Complete Question?

What are the features of first generation computers?

The reactions at the supports a and b. ei is constant. neglect the effect of axial load will be 0 0.

What is axial load?
Axial load, also called thrust load, is a type of force that is applied along the axis of a component or structure. It is a compressive or tensile force which acts in the direction of the axis of an object. It is usually caused by an external force, such as an applied load, or by an internal force, such as the thrust generated by a motor. Axial loads can be static, meaning that the force is constant, or dynamic, meaning that the force changes over time. Axial load can cause deformation, or bending of the component. It can also cause stress, which can lead to fatigue and failure.

At support A:

Reaction in the x-direction: ei*(0-5) = -5ei

Reaction in the y-direction: 0

At support B:

Reaction in the x-direction: ei*(15-10) = 5ei

Reaction in the y-direction: 0

To learn more about axile load
https://brainly.com/question/15713784

#SPJ4

The section(s) of the Code emphasize that all circuiting must be done so as to avoid the damaging effects of induction heating is 300.35, 300.3(B), and 300.20(A).

The term induction heating is known to be a form of heating of material that occurs via an electric current that makes a flow via the material or its container through the means of electromagnetic induction.

Hence, The section(s) of the Code emphasize that all circuiting must be done so as to avoid the damaging effects of induction heating is 300.35, 300.3(B), and 300.20(A).

Learn more about heating from

https://brainly.com/question/13982702

#SPJ1

A: Braking Distance,  B: Reaction Distance, C: Perception Distance all are elements of Total Stopping Distance. So option D: "all of the above are correct" is the correct answer choice.

Total stopping distance refers to the distance a vehicle travels from the time a hazard is seen and the brake is pressed until the vehicle stops.  The total stopping distance of vehicles is comprised of three different elements, such as braking distance, reaction distance, and perception distance.

You can learn more about total stopping distance at

https://brainly.com/question/24020960

#SPJ4

The maximum shear V that can be applied to the double T-beam is 10 kN.

T-beam is a type of structural beam that is shaped like a letter T. It is commonly used in bridge construction, and is especially well-suited for spanning large distances. The beam has two vertical web plates connected by a horizontal flange plate. It is often constructed using reinforced concrete, or steel. The T-beam is advantageous in certain situations due to its strong structural stability and ability to bear heavy loads. Additionally, the T-beam is relatively lightweight and can be used in places where the construction of a more robust beam may be cost-prohibitive. The T-beam is also used in the construction of elevated decks, floor systems, and other similar projects.

The shear force V determines the shear stress τ in the welded joint. The maximum allowable shear force V can be calculated using the following equation:
τ_allow = V/A
where A is the cross-sectional area of the welded joint.
The cross-sectional area of the welded joint can be calculated as follows:
A = bh
where b is the width of the welded joint and h is the thickness of the welded joint.
Assuming that b = 10 mm and h = 10 mm, the cross-sectional area of the welded joint is:
A = 10 x 10 = 100 mm2
Therefore, the maximum allowable shear force V can be calculated as follows:
V = τ_allow x A = 100 MPa x 100 mm2 = 10 kN
Therefore, the maximum shear V that can be applied to the double T-beam is 10 kN.

To learn more about T-beam
https://brainly.com/question/28163882
#SPJ4

Answer:

10 kn

Explanation:

Thanks. I tried hard. I can garrentee it's correct

"1/2" is the right response to this question. Approximately half of the governor gear in vertical crankshaft engines that have a slinger or governor gear and the correct amount of oil in the crankcase is placed above the oiled surface. Draining the oil from the top oil fill tube, as well as the fuel tank and the engine, should be done when the governor gear is about halfway through its rotation.

This is further explained below.

Generally, Engine connecting rods are joined to the crankshaft through the crank mechanism, which is made up of many rotating parts, including the crankshaft, the crankpins, and the crankshaft gears.

In conclusion, "1/2" is the right answer. About half of the governor gear is visible above the oil surface in vertical crankshaft engines with a slinger or governor gear. In order to drain the oil from the top oil fill tube, both the fuel tank and the engine should be at about half of the governor gear after it is completed.

Read more about crankshaft

https://brainly.com/question/9782058

#SPJ1

The coordinate direction angles of F in order to produce the maximum moment about the a-a axis is 14.49Nm and this moment is 15Nm.

What is direction?
Direction is a term that can refer to a number of different concepts. Generally speaking, direction is a line of travel or an orientation in physical space. Direction can also refer to a goal or purpose for which one is striving, such as a career path or a life path. Directions can also be given in terms of instructions, as in directions for using an appliance, directions for playing a game, or even directions for a recipe.

The moment of the force F about the a-a axis is given by:

M = F × d × sin(\alpha + \gamma)

M = 30N × 0.5m × sin(60° + 45°)

M = 30N × 0.5m × 0.9659

M = 14.49Nm

The coordinate direction angles of F in order to produce the maximum moment about the a-a axis are (45°, -45°). The maximum moment is given by:

M = F × d × 1

M = 30N × 0.5m × 1

M = 15Nm

To learn more about direction
https://brainly.com/question/13088407

#SPJ4

The higher level of acceleration should be used when accelerating on a short highway entry ramp.

Given data:

When accelerating on a short highway entry ramp, you should use a higher level of acceleration to safely merge with the traffic already on the highway. This is particularly important when the entry ramp is short, as you need to reach the speed of the highway traffic and find a suitable gap to merge into the flow.

Using a higher level of acceleration allows you to match the speed of the vehicles on the highway more quickly and efficiently, reducing the risk of causing disruptions or potential hazards. It's essential to accelerate smoothly and decisively to ensure a safe merge onto the highway. Always follow traffic rules and guidelines while merging onto highways to ensure the safety of yourself and others.

To learn more about acceleration, refer:

https://brainly.com/question/12550364

#SPJ12

When jump starting a dead battery, the car with the working battery (the "donor car") should be started first and left running for a few minutes.

Then, the cables should be connected in the following order:

1) positive cable to the positive terminal of the dead battery,

2) other end of the positive cable to the positive terminal of the working battery,

3) negative cable to the negative terminal of the working battery, and

4) other end of the negative cable to a metal surface on the car with the dead battery (not to the negative terminal of the dead battery). Once the cables are connected, the car with the dead battery should be started. If the dead battery is too far gone, jump starting may not be enough to get it running again.

To learn more about dead battery, visit: https://brainly.com/question/30013310

#SPJ4

For the specified values, the saturated density is 430 Kg/m3, whereas the bulk density is 2700 Kg/m3.

Given data

Void ratio e = 0.43

Specific gravity Gs = 2.7

density of water ρw = 1000 Kg/m^3

1)Mass of soil solids = Gs ρw

= 2.7*1000

= 2700 Kg/m^3

2)Value of eρw

= 0.43*1000

=430 Kg/m^3

Soil compaction is indicated by bulk density. It is determined by dividing the dry weight of the soil by its volume.

Both the volume of soil particles and the volume of soil particle pores are included in this volume. Typically, bulk density is stated in g/cm3.

The Influence of Inherent - The density of soil mineral (sand, silt, and clay) and organic matter particles, as well as how they are packed, all affect bulk density. As a general rule, the bulk density of most rocks is 2.65 g/cm3, hence the optimal soil is one with a medium texture.

Learn more about Bulk here:

https://brainly.com/question/7139086

#SPJ4

Answer:

Explanation:

To determine the normal stress in the brass core and aluminum plates, we can use the equation of equilibrium:

F = P = A_core * sigma_core + 2 * A_aluminum * sigma_aluminum

where F is the applied force, P is the magnitude of the force, A_core is the cross-sectional area of the brass core, sigma_core is the normal stress in the brass core, A_aluminum is the cross-sectional area of the aluminum plates, and sigma_aluminum is the normal stress in the aluminum plates.

We know that h = 10 mm, and since the cross-sectional area of the brass core is the same as that of the aluminum plates, we can find the cross-sectional area by multiplying h by the width of the block.

A_core = A_aluminum = h * width

We can now use the equation of equilibrium to find the normal stress in the brass core and aluminum plates:

450kN = A_core * sigma_core + 2 * A_aluminum * sigma_aluminum

sigma_core = P / A_core

sigma_aluminum = (P - A_core * sigma_core) / (2 * A_aluminum)

Note that you would need to know the width of the block in order to complete the calculation.

The maximum load of 13889 N is required to survive the condition. for A cylindrical component constructed from an S-590 alloy (Figure 8.31) has a diameter of 20.3 mm (0.7992 in.)

Calculate the tensile load using the stress relation.

σ = F/A

Here, A is the area of the bar and σ is the stress applied on the shaft.

rupture lifetime graph).

Obtain the value of stress for the material S-590 alloy from figure 8.31(Stress versus Rupture life time of 1000 hrs at a temperature of 925°C, the stress is σ = 43 MPa.

Calculate the area of the bar.

A=π/4 * d^2

Here, d'is the diameter of the bar.

Substitute 0.0203 m for d.

A =π/4(0.0203)^2

=3.23x10^-4 m²

Substitute 3.23×10^-4 m² for A, (43×10^6)N/m² for σ in equation (1).

(43x10)= F/(3.23×10^-4)

F = (43×10^4)(3.23×10^-4)

=13889 N

Therefore, the maximum load of 13889 N is required to survive the condition.

Learn more about Load here:

https://brainly.com/question/27960749

#SPJ4

The Answer is D. The technician should remove jewelry

Explanation: A technician has been given a PC that is not powering up. After brief troubleshooting, the technician comes to the conclusion the power supply needs to be replaced. Which of the following is the NEXT step in the process of performing the repair?

The option that best describes electronic stability control are:

The electronic stability control is known to be that which helps to hinder loss of control in regards to curves and emergency steering maneuvers and it often stabilizes  the car if it begins to move off an intended path.

Hence, The option that best describes electronic stability control are:

Learn more about stability control from

https://brainly.com/question/24030420

#SPJ1

Workplace documentation includes all the paperwork HR must gather from each employee.

Any communicable material used to describe, clarify, or provide instructions for certain characteristics of a thing, a system, or a procedure, such as its components, assembly, installation, maintenance, and use, is considered documentation.

In a regulatory industry, documentation development is governed by relevant standard operating procedure and may include document drafting, formatting, submitting, evaluating, approving, distributing, reposting, and tracking, among other things.

It might also entail writing original content. Documentation must to be simple to read and comprehend. It could be misread or ignored if it is very wordy and lengthy. Use simple, direct language and keep your phrases to no more than 15 words.

Gender-specific terminology and cultural biases should be avoided in writing aimed for a broad audience. Steps in a process chain should be distinct from one another.

To learn more about documentation refer to:

https://brainly.com/question/28170598

#SPJ1

A broken yellow line on the pavement tells that the adjacent lane is traveling in the opposite direction and passing is permitted.

A broken white line on the pavement show that the adjacent lane is traveling in the same direction and passing is permitted.

Pavement markings are known to be tools that are used to pass infor or messages to roadway users.

Note  that they tell the part of the road that one need to use, give information about conditions ahead, and others

Note that A broken yellow line on the pavement tells that the adjacent lane is traveling in the opposite direction and passing is permitted.

Learn more about pavement markings from

https://brainly.com/question/10179521

#SPJ1

A high compression ratio may result in compressor failure.

A compressor refers to a mechanical device that is designed and developed to provide power to refrigerators, especially by increasing the pressure on air or other applicable gases.

According to heating, ventilation, and air conditioning (HVAC) information, a high compression ratio of 8: 1 or higher is most likely to result in compressor failure.

Read more on compression ratio here: https://brainly.com/question/13756099

#SPJ1

Answer: The red color on the cylinder is indicative of the material's flammability.

Explanation: