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A block has been placed on an inclined p...

A block has been placed on an inclined plane . The slope angle of `theta` of the plane is such that the block slides down the plane at a constant speed . The coefficient of kinetic friction is equal to :

A

gravitational forces

B

`sintheta`

C

`costheta`

D

`tantheta`

Text Solution

Verified by Experts

The correct Answer is:
D

At a particular angle of inclination `(theta)`, called the angle of repose, the body placed on the plane just begins to slide down the plane with constant speed.
`:." "mu=F/R=(mgsintheta)/(mgcostheta)=tantheta`
`:.` The coefficient of kinetic friction
`=tantheta`=tangent of the angle of repose
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