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Q.

All the surfaces & pulleys are frictionless in the shown arrangement. Pulleys P and Q are massless. The force applied by clamp on pulley P is 

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a

mg6(3i^3j^)

b

mg6(3i^+3j^)

c

mg62

d

mg6(3i^+3j^)

answer is B.

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Detailed Solution

2mgsin30T=2m(a) T=ma a=g/3&T=mg3 Net force =
Result of these forces =T(j^)+Tcos60(j^)+Tsin60(i^)
=32Ti^32Tj^ =mg6(3i^3j^)
As net force in pulley = 0,
 force by clamp =mg6(3i^+3j^) 

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All the surfaces & pulleys are frictionless in the shown arrangement. Pulleys P and Q are massless. The force applied by clamp on pulley P is