In a demonstration known as the ballistics cart, a ball is projected vertically upward from a cart moving with constant velocity along the horizontal direction. The ball lands in the catching cup of the cart because both the cart a ball have the same horizontal component of velocity. What If? Now consider a ballistics cart on an incline making an angle θ with the horizontal as in Figure P10.89. The cart (including wheels) has a mass M and the moment of inertia of each of the two wheels is mR2/2. (a) Using conservation of energy (assuming no friction between cart and axles) and assuming pure rolling motion (no slipping) show that the acceleration of the cart along the incline is

Transcribed Image Text:

Figure P10.89