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Question

Three blocks A, B, and C are suspended as shown in fig. Mass of each of blocks A and B is m. If the system is in equilibrium, and the mass of C is M, then:
980892_c1b3a4549b524323b74ca9873d0e9251.png

A
M>2m
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B
M=2m
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C
M<2m
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D
None of these
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Solution

The correct option is A M<2m

Given,

Mass of block A & B =m

Mass of block C =M

Let

Mass of A =mA & Mass of B =mB

Tension in string is =T

At equilibrium, T=mAg=mBg=mg

Weight of block C is = Mg


Forces on block C

2Tcosθ=Mg

cosθ=Mg2T=Mg2mg=M2m

If 0<θ<900 then 1>cosθ>0

1>M2m>0

2m>M

Hence, 2m>M


981681_980892_ans_9e31abf1670b4dedba63b9d5ca5ac578.png

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