Exercise 4. A 2-kg mass is attached to a horizontal spring with stiffness k = 202 N/m. The damping constant for the system is 2 N s/m. If the mass is released from its equilibrium position and given an initial velocity of 2 m/s to the left. When will the mass reach its maximum displacement to the right?

14-17. If the cord is subjected to a constant force of F = 30 lb and the smooth 10-lb collar starts from rest at A, determine its speed when it passes point B. Neglect the size of pulley C. 4.5 ft F = 30 lb 3 ft 2 ft

A 5.0 kg weight is hanging from an ideal spring with a k of 250N/m.  It is pulled .15m from equalibrium.  Find it's maximum displacement the elastic potential energy of spring just as the block is being released the maximum speed the block will have during its motion the displacement of the block from equilibrium when the kinetic energy of the block is equal to the elastic potential energy of the spring The block is then brought to rest at equilibrium. The block is then pulled down half the original distance. Will the new period for the motion of the block be greater than, less than, or equal to the original period for the motion of the block?  Why?   The first block is brought to rest at equilibrium again.  An identical block is launched up into the first block. The new block is moving with an initial speed of v=5.0m/s when it collides with and sticks to the original block. Calculate the maximum compression of the spring after the collision of the two blocks.

An object stretches a spring 10 centimeters in equilibrium. Find its displacement for t > 0 if it is initially displaced 2 centimaters above equilibrium and given a downward velocity of 4 centimeters/sec.