A block of mass m 1 = 36 kg on a horizontal surface is connected to a mass m 2 =

Question

A block of mass m1 = 36 kg on a horizontal surface is connected to a mass m2 = 23.0 kg that hangs vertically as shown in the figure below. The two blocks are connected by a string of negligible mass passing over a frictionless pulley. The coefficient of kinetic friction between m1 and the horizontal surface is 0.30. (Assume gravity acts toward the +ydirection and the +x-axis is parallel to the surface and to the right.)

(a) What is the acceleration of the hanging mass? (Indicate the direction with the sign of your answer.)

(b) Determine the tension in the cord. (Indicate the direction with the sign of your answer.)

Explanation / Answer

Fnet =Mnet*a

for both block acceleration wil be same.

M2*g - M1*g*0.3 = (M1+M2) a

225.4 - 105.84 = 59a

a = 2.026m/s2 ( downward or -ve y-axis)

tension =T

M2g -T = M2*a

T= 225.4 - 46.598 =178.8N ( upward on block M2(+ve y-axis) and in +ve axis on block M1

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