CHAPTER 14 HOMEWORK
1. (p.382 Ex.13) The position of a SHO as a function of time is given by x = 3.8cos(7pt/4 + p/6) where t is in seconds and x in meters. Find (a) the period and frequency, (b) the position and velocity at t = 0, and (c) the velocity and acceleration at t = 2.0s.
2. (p.383 Ex.36) At t =0, a 650-g mass at rest on the end of a horizontal spring (k = 184N/m) is struck by a hammer which gives it an initial speed of 2.26m/s. Determine (a) the period and frequency of the motion, (b) the amplitude, (c) the maximum acceleration, (d) the position as a function of time, (e) the total energy, and (f) the kinetic energy when x = 0.40A where A is the amplitude.
3. (p.384 Ex.46) The length of a simple pendulum is 0.68m and it is released at an angle of 12° to the vertical. (a) With what frequency does it vibrate? (b) What is the pendulum bob's speed when it passes through the lowest point of the swing?