Question: A cart is connected to a spring and oscillates due to a motor that applies a force: fmotor = 2 cos(2 t) N. In

A cart is connected to a spring and oscillates due to a

A cart is connected to a spring and oscillates due to a motor that applies a force: fmotor = 2 cos(2 t) N. In addition to the spring force there is a damping force: fadamping = -2 v. The cart has a mass of 2 kg kg and the spring has a spring constant of k = 18. A) After waiting for t 1/B what is the amplitude and phase angle of the position as a function of time? You can leave your answer as a fraction. B) If you wanted to make the amplitude a maximum without changing the driving force how much mass would you add to the cart? You can leave your answer as a fraction. X X = 0

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