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Question

Two blocks m1 and m2 lying on a horizontal surface are connected to one another by a massless inextensible string. A constant force F is applied as shown in figure and block m2 just starts moving. Then F is (μ is the coefficient of friciton):

137108_0f543bdbf15b4583882e9915b92e2803.png

A
μ(m1)g
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B
μ(m1+m2)g
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C
μ(m1m2)g
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D
μ(m1m2)g
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Solution

The correct option is B μ(m1+m2)g
As the string is inextensible so there is no tension. The block M2 will start to move if the force F balances the frictional force of the total system. i.e,
F=μN=μ(M1+M2)g
172805_137108_ans_58085b2285be47dd8f9efeced4e25b41.png

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