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The coefficient of friction between the ...

The coefficient of friction between the block and the horizontal surface is mu. The block moves toward right under action of horizontal force `F` (figure-a). Sometime later another force `P` is applied to the block making an angle theta (such that `tan theta`=`mu`) with vertical as shown in (figure-b). After application of force `P` , the acceleration of block shall.

A

increase

B

decrease

C

remain same

D

information insufficient to draw inference

Text Solution

Verified by Experts

The correct Answer is:
C

The free body diagram of block in fig. b is as shown.
`N=mg+Pcostheta`
and acceleration of block
`a=(F+P sintheta-mu(mg+Pcostheta))/(m)`
`a=(F+P sintheta-(sintheta)/(costheta)(mg+Pcostheta))/(m)=(F-mumg)/(m)`
Hence P does not change acceleration.
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