The rotation of rod OA about O is defined by the relation θ = t 3 + 4t, where θ is expressed in radians and t in seconds. Collar B slides along the rod in such a way that its distance from O is r = t 3 + 2t 2 , where r is expressed in inches and t in seconds. Derive expressions for the velocity and acceleration of the collar as functions of t. Consider one revolution of the rod starting at t = 0 and plot (a) the path of the particle in the xy plane, (b) the components of the velocity v, (c) the components of the acceleration ar and aθ and the magnitude of the acceleration a.
