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Question

In the figure shown, find the velocity of the 3 kg mass after 10 s if the system is released from rest at t=0. (Take g=10 m/s2)


A
30 m/s
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B
40 m/s
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C
50 m/s
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D
70 m/s
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Solution

The correct option is B 40 m/s
The FBD of the blocks are shown in the below figure

So, from the FBD we have
7gT=7a......(i)
T3g=3a.......(ii)
From the eq (i) & (ii), we get
a=4g10=4 m/s2
From equation of motion we have,
v=u+at
v=0+4×10=40 m/s

OR

a=(Supporting force - opposing Force) Total mass
=7g3g10=4 m/s2
From equation of motion we have,
v=u+at
v=0+4×10=40 m/s

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