A block of mass m is on top of a block of mass M = 5m. The two blocks are connec

Question

A block of mass m is on top of a block of mass M = 5m. The two blocks are connected by a string that passes over an ideal pulley. The bottom block is also tied to a string-exerting a force F, after the blocks have been set in motion, causes the blocks to move at constant velocity. Use g = 10 N/kg for this problem. The coefficient of kinetic friction between all surfaces in contact is 0300. (a) For this scenario, which free-body diagrams (see above) are correct? Select the two correct diagrams, one for each block, and make sure you can identify which force is which. The correct free-body diagram of the larger block is number 1. The correct free-body diagram of the larger block is number 2. The correct free-body diagram of the larger block is number 3 The correct free-body diagram of the smaller block is number 4 The correct free-body diagram of the smaller block is number 5 The correct free-body diagram of the smaller block is number 6. (b) If the value of m is 220 g, what is the value of F? 13.2

Explanation / Answer

wring nEwton equation of block of mass m

N2=mg

T-.3mg=ma {a=0 as moving with constant velocity}

T=.3mg (1)

wring newton equation of block of mass 5m

N1=N2+5mg

N1=mg+5mg=6mg

.3(N1+N2 )+T=F

substituting value of N1, N2 and T

.3(6mg +mg)+.3mg=F

F=2.4mg=2.4* .220 *9.8=5.174 N

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