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Questions  

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 

a
4w1w2w1+w2
b
2w1w2w1+w2
c
w1w2w1+w2
d
w1w22(w1+w2)

detailed solution

Correct option is A

T=2m1m2(m1+m2)(g+a)=2m1m2(g+g)m1+m2⇒T=4m1m2m1+m2g=4w1w2w1+w2

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A constant force F = m2g/2 is applied on the block of mass m1 as shown. The string and the pulley are light and the surface of the table is smooth. Find the acceleration of m1.


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