8/8/2011 Physics 111 Practice Problem Statements 14 Oscillations SJ 8th Ed.: Chap 15.1 – 15.5 Oscillations – Basics Hooke’s Law: A Mass on a Spring Simple Harmonic Motion – Oscillator Equation Energy in a Simple Harmonic Oscillator Uniform Circular Motion as a model for Simple Harmonic Motion Pendula (Simple, Torsion, Physical Damped Oscillations (Optional) Forced Oscillations (Optional) Contents 16-2, 16-8, 16-10, 16-12, 16-28

8/8/2011 Problem 16-2: An oscillating block–spring system takes 0.75 s to begin repeating its motion. Find (a) the period, (b) the frequency in hertz, and (c) the angular frequency in radians per second.

8/8/2011 Problem 16-8: A small body of mass 0.12 kg is undergoing simple harmonic motion of amplitude 8.5 cm and period 0.20 s. (a) What is the magnitude of the maximum force acting on it? (b) If the oscillations are produced by a spring, what is the spring constant?

8/8/2011 Problem 16-10: A loudspeaker diaphragm is oscillating in simple harmonic motion with a frequency of 440 Hz and a maximum displacement of 0.75 mm. What are (a) the angular frequency, (b) the maximum speed, and (c) the magnitude of the maximum acceleration?

8/8/2011 Problem 16-12: A body oscillates with simple harmonic motion according to the equation At t = 2.0 s, what are (a) the displacement, (b) the velocity, (c) the acceleration, and (d) the phase of the motion? Also, what are (e) the frequency and (f) the period of the motion?

8/8/2011 Problem 16-28: In the figure, a block weighing 14.0 N, which slides without friction on a 40.0° incline, is connected to the top of the incline by a massless spring of unstretched length m and spring constant 120 N/m. (a) How far from the top of the incline does the block stop? (b) If the block is pulled slightly down the incline and released, what is the period of the resulting oscillations?