A block of weight 12 lbs is placed on a cart of weight 40 lbsthat is attached to a spring with a constant of 500 lb/in. Thecoefficient of static friction between block A and cart B is 0.15,and the coefficient of friction between cart B and the ground isnegligible.
a.) Find the maximum amplitude ofoscillation of the system to prevent block A from sliding.
b.) Use conservation of energy todetermine the maximum velocity and acceleration of the system.
c.) If the cart begins at the maximumamplitude to the right, determine the equation for x(t), v(t), anda(t). [Hint: The template for the equations are in your Physics Ibook/notes.