1. A spring lies horizontally in the x direction. The spring is attached at one end to a vertical wall and at the other end to a block of mass m. The ground is frictionless. The block can be pulled out from the wall so that the spring stretches, and when released the block will oscillate periodically, in a motion that can be described in terms of a "wave" equation: x(t) = XmCOs(wt). a. Who cares? That is: Why do we study this situation in the first place? b. Draw a picture of this spring-block-wall diagram. Label the equilibrium position of the block (x = 0) and the two extreme positions that it is capable of reaching (x = Xm and -Xm). C. Say I stretch the block out to position x = Xm and release it. Draw two full oscillations of the resulting motion in x-t space, where x is position and t is time. Label Xm. d. If the ground is frictionless: how does the total energy of the block at the equilibrium position (x=0) relate to the total energy of the block at the extrema (x = +/- Xm)? %3D

The 8-kg block is moving with an initial speed of 8 m/s. If the coefficient of kinetic friction between the block and plane is 0.33 = 0.25, determine the compression in the spring when the block momentarily stops. The spring constant is k = 227 N/m

1. A)Write down the second law as Hooke’s Law, and derive the solution for a frictionless mass-spring system. B) A 2.00-kg mass is observed to oscillate at 1.50 complete cycles/sec. What is the spring constant?  C) How can you use a ball on a string to measure g?

1. Consider two systems experiencing simple harmonic motion: a mass-spring system and a pendulum. Which of these systems would experience a change in frequency if the mass in the system were changed? O The pendulum Both Neither The mass-spring system 2. A pendulum is hung from the ceiling of an elevator. When the elevator accelerates upwards, the period T of the pendulum is ✓the period when at rest. 3. A 2.70kg mass is hung from the ceiling by a string of length 1.60m and mass 0.00300kg. The string is plucked and a transverse wave travels through it. What is the speed of the transverse wave? m S