Using a forked rod, a smooth cylinder C having a mass M is forced to move along the vertical slotted path r = aθ. If the angular position of the arm is θ = bt², determine the force of the rod on the cylinder and the normal force of the slot on the cylinder at the instant t. The cylinder is in contact with only one edge of the rod and slot at any instant.

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Given: M = 0.5 kg a = 0.5 m 1 b = 0.5 t1 = 2 s 2 S