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A trolley of mass M is attached to a blo...

A trolley of mass M is attached to a block of mass m by a string passing over a frictionless pulley as shown in the figure. If the coefficient of friction between the horizontal surface and wheels of trolley is `mu`, then acceleration of the block m and that of trolley M on releasing the system is :-

A

`((muM-m)/(m+muM))g`

B

`((m+muM)/(muM-m))g`

C

`((mum-M)/(m+M))g`

D

`((m-muM)/(m+M))g`

Text Solution

Verified by Experts

The correct Answer is:
D
`a="net force"/"net mass"`
`a=(mg-f_s)/(m+M)`
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Knowledge Check

  • A trolley of mass 20 kg is attached to a block of mass 4 kg by a massless string passing over a frictionless pulley as shown in the figure. If the coefficient of kinetic friction between trolley and the surface is 0.02, then the acceleration of the trolley and block system is (Take g = 10 m s^(-2) )

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