A block of mass 10 kg is placed in a car going down an incline of inclination `60^(@)`. If the coefficient of friction between the block and car floor is `1/(sqrt(3))`. Find the acceleration a of car down the inline so that the block does't slip on the car surface.

Options

A. `a gt g/(sqrt(3))`
B. `a gt (2g)/(sqrt(3))`
C. `a gt g/(sqrt(3)) ` or `a gt (2g)/(sqrt(3))`
D. `g/(sqrt(3)) le a le (2g)/(sqrt(3))`

Answer

4

Explanation

`ma_(c)+mu mg cos theta=m g sin theta`
`a_(c) gt g sin theta-mu mg cos theta`
`a_(c) gt g/(sqrt(3))`
Case -II: Friction without.