The figure shows a portion of a plate cam used in the design of a control mechanism.

Question:

The figure shows a portion of a plate cam used in the design of a control mechanism. The motion of pin P in the fixed slot of the plate cam is controlled by the vertical guide A, which travels horizontally at a constant speed of 6 in./sec over the central sinusoidal portion of the slot. Determine the normal component of acceleration when the pin is at the position x = 2 in.