Using a forked rod, a smooth cylinder C having a mass of 0.5 kg is forced to move along th...

Using a forked rod, a smooth cylinder C having a mass of 0.5 kg is forced to move along the vertical slotted path r = (0.5 θ) m, where θ  is in radians. If the angular position of the arm is θ = (0.5t2) rad, where t is in seconds, determine the force of the rod on the cylinder and the normal force of the slot on the cylinder at the instant t = 2 s. The cylinder is in contact with only one edge of the rod and slot at any instant.