For a curved track of radius R, banked at angle `theta`

Options

A. a vehicle moving with a speed `v_(0)` is able to negotiate the curve without calling friction into play at all
B. a vehicle moving with any speed `V gt V_(0)` is always able to negotiate the curve, with friction called into play
C. a vehicle moving with any speed `V lt V_(0)` must have the force of friction into play
D. the minimum value of the angle of banking for a vehicle parked on the banked road can stay there without slipping, is given by `theta=tan^(-1)mu_(0)(mu_(0)=` coefficient of static friction)

Answer

A, C

Explanation

`tantheta=(v_(0)^(2))/(Rg) (f_(s)=0)`
`v lt v_(0)` (slips downwards) `mgsintheta=mu_(0)mgcostheta`
`tantheta=m_(0)`