wo blocks are connected by a string, as shown in the figure. The smooth inclined

Question

wo blocks are connected by a string, as shown in the figure. The smooth inclined surface makes an angle of 42 ? with the horizontal, and the block on the incline has a mass of 6.7 kg.

Part A

Find the mass of the hanging block that will cause the system to be in equilibrium. (The pulley is assumed to be ideal.)

Express your answer using two significant figures.

wo blocks are connected by a string, as shown in the figure. The smooth inclined surface makes an angle of 42 ? with the horizontal, and the block on the incline has a mass of 6.7 kg.

Part A

Find the mass of the hanging block that will cause the system to be in equilibrium. (The pulley is assumed to be ideal.)

Express your answer using two significant figures.

Explanation / Answer

for hanging block

T = mg ..............(i)

for block on inclined plane

T = Mgsin(420) .............. (ii)

from equation (i) and (ii)

mg = Mgsin(420)

m = Msin(420) = 6.7sin(420) = 4.483 kg

m = 4.483 kg

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