sing the variables from the problem statement together with the acceleration due to gravity, g , write an equation for the magnitude of the acceleration of the system. hint: based upon the numeric choices, block 1 will accelerate up the incline while the suspended block, block 2, accelerates vertically downward.

The equation for the magnitude of the acceleration of the system is equals to the

a = g (m₂ - m₁μ꜀ cosθ - m₁sinθ )/(m₁ + m₂ ).

We have, two blocks with masses say m₁ = 3.8 kg and m₂ = 8.6 kg inclined on the plane at angle θ=39° above the horizontal. Also, cofficient of friction, μ=0.39. According to problem, In case of block 1 , accelerate up the inclined plane, Then forces along y-axis,

Net force during vertical motion = 0

=> Fₙ - m₁gcosθ = 0 --(1)

On horizontal direction,

Again net force = 0

=> T - f꜀ - m₁gsinθ = m₁a --(2) ( using Newton's second law)

For block 2, Vertical motion

So, net vertical force = 0

=> - T + m₂g = m₂a --(3)

Now, f꜀ = μ꜀ Fₙ= μ꜀ m₁g cosθ

so, T - μ꜀ m₁g cosθ - m₁gsinθ = m₁ a --(4)

Using the equation (4) and (3), we have to determine the equation for acceleration, a.

Adding (3) from (4),

m₁ a + m₂a = -μ꜀ m₁g cosθ - m₁gsinθ + m₂g + T - T

=> (m₁ a + m₂a) = g ( -m₁cosθ - m₁ sinθ + m₂)

=> a ( m₁ + m₂ ) = g (-m₁μ꜀ cosθ - m₁ sinθ + m₂)

=> a = g (- m₁μ꜀ cosθ - m₁sinθ + m₂)/(m₁ + m₂ )

by plugging all the above values we can calculate the magnitude of acceleration.

Hence, required equation is a = g (m₂ - m₁μ꜀cosθ - m₁sinθ)/(m₁ + m₂) .

To learn more about inclined plane, refer:

https://brainly.com/question/26262923

#SPJ4

Complete question:

Referring to the image to the above figure , the mass of block 1 is m1=3.8 kg while the mass of block 2 is m2=8.6 kg. The coefficient of friction between m1 and the inclined surface is μ=0.39. The inclined surface is at an angle θ=39∘ above the horizontal. Using the variables from the problem statement together with the acceleration due to gravity, g , write an equation for the magnitude of the acceleration of the system. hint: based upon the numeric choices, block 1 will accelerate up the incline while the suspended block, block 2, accelerates vertically downward.

Gracie went for a morning walk and met her old friend Suzie and her daughter Jennie after a long time. Gracie asked Suzie how old is Jennie to which Jennie replied “In two years I will be twice as old as I was three years ago”. How old is Jennie?​

what is 1/2 times 5/2

There are 15 books on a shelf. 9 of these books are new. The rest of them are used.

using binomial expansion evaluate (0.99)^6​

Suppose a line parallel to side Y Z of AXY Z intersects sides XY and XZ at points N and M, respectively. Which of the
following is false? (1 point)

Ms. Jones is making the yearbook. She has 7 pages with 153 photos on each
page. How many photos are there in the whole yearbook?

Find the area of a rectangle with a length of
14 ft and width of 28 ft.

Sandy spent 20% of x hours at her part-time job.What is x if 20% of x is about 26 hours?

ratio of 12 seconds to 1 hour​

1. What is 2 added to 1?
4
in​

choose the right multiplacation equation that is correct A.16x6=22 B.16x6=636 C.16x6=96 D.16x6=123

6. The mean of 9, 14,x, 16, 7 and 18 is 11.5. Find the value of x​

Find the value of x.
х
50°

Traveling Salesperson Suppose you are a salesperson who must visit the following 23 cities: Dallas, Tampa, Orlando, Fairbanks, Seattle, Detroit, Chicago, Houston, Arlington, Grand Rapids, Urbana, San Diego, Aspen, Little Rock, Tuscaloosa, Honolulu, New York, Ithaca, Charlottesville, Lynchville, Raleigh, Anchorage, and Los Angeles. Leave all your answers in factorial form.

a. How many possible itineraries are there that visit each city exactly once?

b. Repeat part (a) in the event that the first five stops have already been determined.

c. Repeat part (a) in the event that your itinerary must include the sequence Anchorage, Fairbanks, Seattle, Chicago, and Detroit, in that order.

Noah raised $54 to support the animal shelter, which is 60% of his fundraising goals. Write an equation to represent the situation. (In your answer, write 60% as 60/100.)

During a test period, an experimental group of 10 vehicles using an 85 percent ethanol-gasoline mixture showed mean CO2 emissions of 240 pounds per 100 miles, with a standard deviation of 20 pounds. A control group of 14 vehicles using regular gasoline showed mean CO2 emissions of 252 pounds per 100 miles with a standard deviation of 15 pounds. A quick comparison of the sample variances suggests that the population variances are:

a. probably equal.
b. probably unequal.
c. incomparable.

A- g(x)=|x+5|+5
B-g(x)=|x-5|+5
C-g(x)=|x|+5
D-g(x)=|x-5|

The measure of an angle is 18.2°. What is the measure of its complementary angle?

Help!! Find the area of the triangle.

T-shirts are on sale for 40% off. The original price per t-shirt is $20. What is the total cost, in dollars, of 8 of these t-shirts at the sale price, including an 11% sales tax?

Find the slop of the line given y - 1 = -5(x + 19)

Can someone help me with this? #1 first please

I need help with the both of these please If you help I will mark you brainLIEST

Please please give answer for this question

plz answer correctly 60 isnt the answer

hello help me please ​

PLEASE HELP ASAP WILL GIVE BRAINLIEST TO WHOEVER ANSWERS FIRST!!!Solve the system of equations.
y = 2x + 3
2y = 4x + 10

A. Infinite Solutions

B. (-2,3)

С. (4,-1)

D. No Solution

Is the table linear or nonlinear?
X 0 1 2 3
Y 2 4 8 16

Pl help It’s for a grade I’ll give you a Brainly

simplify the expression 3x+2x