Q.

Two weights w1  and  w2 are suspended from the ends of a light string passing over a smooth fixed pulley. If the pulley is pulled up at an acceleration g, the tension in the string will be

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a

4w1w2w1+w2

b

2w1w2w1+w2

c

w1w2w1+w2

d

w1w22(w1+w2)

answer is A.

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Detailed Solution

T=2m1m2(m1+m2)(g+a)=2m1m2(g+g)m1+m2⇒T=4m1m2m1+m2g=4w1w2w1+w2
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Two weights w1  and  w2 are suspended from the ends of a light string passing over a smooth fixed pulley. If the pulley is pulled up at an acceleration g, the tension in the string will be