An insect of mass m, starts moving on a rough inclined surface from point A. As the surface is vert sticky, the corfficient of fricion between the insect and the incline is `mu=1`. Assume that it can move in any direction, up the incline or down the incline then

Options

A. the maximum possible acceleration of the insect can be `14(m)/(sec^2)`
B. the maximum possible acceleration of the insect can be `1(m)/(sec^2)`
C. the insect can move with a constant velocity
D. the insect cannot move with a constant velocity

Answer

A, C

Explanation

`mgsinthetamgcostheta=ma`
`=10[(3)/(5)+(4)/(5)]=14(m)/(sec^2)`
If `f_r=mgsintheta`
`=mgxx(3)/(5)=(3mg)/(5)=f_(rmax)`
`f_rltf_(rmax)`
`(3mg)/(5)lt(4mg)/(5)` hence insect can move with constant velocity.