A machine with a mass of 30 kg is mounted on springs with an equivalent stiffness of 4.8 104 N/m. During operation, it is subject to a force of 200 sin t. Determine and plot the response of the system if the machine is at rest in equilibrium when the forcing starts and at (a)

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During a medieval siege of a castle, the attacking army uses a trebuchet to hurl heavy stones at the castle walls. if the trebuchet launches the stones with a velocity of at an angle of 50.0°, (a) how long does it take the stone to hit the ground? (b) what is the maximum distance that the trebuchet can be from the castle wall to be in range? (c) how high will the stones go? show all your work.