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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

`theta gt 45^(@)` and a frictional force acts on the block toward `P`

C

`theta gt 45^(@)` and a frictional force acts on the block toward `Q`

D

`theta lt 45^(@)` and a frictional force acts on the block toward `Q`

Text Solution

Verified by Experts

The correct Answer is:
a,c,
`f = 0` if `mg sin theta = F cos theta`

`rArr theta = 45^(@)`
`f ` toward Q `mg sin theta gt F cos theta `
`rArr thetagt 45^(@)`
`f` toward `P, mg sin theta lt F cos theta`
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