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A small block of mass of 0.1 kg lies on ...

A small block of mass of 0.1 kg lies on a fixed inclined plane PQ which makes an angle `theta` with the horizontal. A horizontal force of 1N acts on the block through its centre of mass as shown in figure.

The block remains stationary if (take `g=10m//s^2`)

A

`theta=45^@`

B

`thetagt45^@` and a frictional force acts on the block towards P.

C

`thetagt45^@` and a frictional force acts on the block towards Q.

D

`thetalt45^@` and a frictional force acts on the block towards Q.

Text Solution

Verified by Experts

The correct Answer is:
A, C
The forces are resolved as shown in figure.
When `theta=45^@`, `sintheta=costheta`

The block will remain stationary and the frictional force is zero.
When `thetagt45^@`, `sin thetagtcostheta`
Therefore a frictional force acts towards Q.
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