Consider a wheel of radius R and centre "O", Let the wheel be "rolling" in the (x-y) plane, with the centre of mass velocity ~v, in the direction of +ve x, with the point O lying on the x-axis. Let P be a point on the circumference of the wheel, such that OP makes an angle Θ with the x-axis at a given instant. PROVE the following: (a) The magnitude of the net velocity of the point P at that instant is v p 2(1 + sin Θ) (b) The net velocity vector at the point P, makes an angle φ with the x-axis, where φ = − arctan