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A mass m rests on another mass M. The co...

A mass m rests on another mass M. The co-efficient of static friction between the surfaces of m and M is `mu`. M rests on smooth frictionless horizontal plane. The maximum force applied horizontally on M for which m will move along with M without slipping is

A

mg + `mu` mg

B

`(M + m) mu g `

C

`(mM)/(M + m) "" mu g `

D

`mu mg`

Text Solution

Verified by Experts

The correct Answer is:
B
`ma_("max") = mu mg , " " therefore a_("max") = mu g`
`F_("max") - mu mg = Ma_("max")`
`therefore F_("max") = (m + M)mu g `
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