A block is kept on a smooth inclined plane of angle of inclination `theta` that moves wuth a contact acceleration so that the block does not slide relative to the inclined plane. If the inclined plane stops the normal contact force offered by the plane on the block changes by a factor

Options

A. `tan theta`
B. `tan ^(2) theta`
C. `cos ^(2) theta`
D. `cot theta`

Answer

C

Explanation

In vertical direction, net force`= 0`

`:. N_(1) cos theta = mg` or ` N_(1) = (mg)/(cos theta)` …(i)
Under normal condition ,normal reation is
`N_(2) = mg cos theta`
`:. (N_(2))/(N_(1)) = cos ^(2) theta`