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Two masses M and M/2 are joined together by means of light inextensible string passes over a frictionless pulley as shown in figure. When bigger mass is released, the small are will ascend with an acceleration of

a
g
b
g/2
c
g/3
d
2g

detailed solution

Correct option is C

Given, the mass of the heavier object,m1 M = andthe mass of the light object,m2 =M/2.Now, we have acceleration, a=m1−m2m1+m2g.....(i)Putting these values in Eq. (i), we geta=M−M2M+M2g=2M−M2M2M2g=g3

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For the system shown in figure, the pulleys are light and frictionless. The tension in the string will be


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