The wheel of radius R rolls wihtout slipping on horizontal rough surface and its centre O has an acceleration `a_(0)` in forward direction. A point P on the wheel is a distance r from O and angular position ` theta` from horizontal. Find the angle ` theta` for which point P can have zero acceleration in this position .

Explanation

The acceleration of the point `P` is that due to the axis `(a_(0))` and the to rotation about the axis.
`a_(0)costheta=omega^(2)r`
`a_(0)sintheta=alphar`
`a_(0)=alphaR`