The system shown consists of a wheel of radius R = 1.4 m rolling without slip on a horizon...

The system shown consists of a wheel of radius R = 1.4 m rolling without slip on a horizontal surface. A bar AB of length L = 3.7 m is pin-connected to the center of the wheel and to a slider A constrained to move along a vertical guide. Point C is the bar’s midpoint.

Figure P6.89

Determine the general relation expressing the acceleration of the slider A as a function of θ, L, R, the angular velocity of the wheel ωW, and the angular acceleration of the wheel αW.