block m1 in the figure has a mass of 4.0 kg and m2 has a mass of 2.0 kg. The coe

Question

block m1 in the figure has a mass of 4.0 kg and m2 has a mass of 2.0 kg. The coefficient of friction between m2 and and horizontal plane is 0.50. The unlinked plane is smooth. Find a.) tension in the string and b.) the acceleration of the blocks. ..please provide complete solution and show work -0.50 m11 30° 3. Block m in the figure has a mass of 4.0 kg and m has a mass of 2.0kg. The coefficient of friction between m2 and the horizontal plane is 0.50. The inclined plane is smooth. Find (a) the tension in the string and (b) the acceleration of the blocks.

Explanation / Answer

Here ,

let the tension in the string is T

acceleration of the block is a

Using second law of motion

a = net force/net force

a = (4 * g * sin(30) - 0.5 * 2 * g )/( 4 + 2)

a = 1.633 m/s^2

Now , for the 2 Kg block

T - u * m2 * g = m2 * a

T - 0.5 * 2 * 9.8 = 2 * 1.67

T = 13.1 N

the tension in the string is 13.1 N

acceleration of the blocks is 1.633 m/s^2

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