A block of weight 12 lbs is placed on a cart of weight 40 lbs that...

A block of weight 12 lbs is placed on a cart of weight 40 lbs that is attached to a spring with a constant of 500 lb/in. The coefficient of static friction between block A and cart B is 0.15, and the coefficient of friction between cart B and the ground is negligible.

a.) Find the maximum amplitude of oscillation of the system to prevent block A from sliding.

b.) Use conservation of energy to determine the maximum velocity and acceleration of the system.

c.) If the cart begins at the maximum amplitude to the right, determine the equation for x(t), v(t), and a(t). [Hint: The template for the equations are in your Physics I book/notes.

Solutions

Expert Solution

Inorder to not slip between cart and block means that they will have common acceleration up to a point.

After that point they move with different accelerations and results in slipping.

Conservation of energy is used in finding max velocities.

Solution is uploaded below.

Ally Wells answered 3 months ago

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