15.3 Comparing Simple Harmonic Motion and Circular Motion
Projecting uniform circular motion onto a diameter to recover the sine and cosine description of an oscillator and its angular frequency.
University Physics Volume 1, 15.3 Comparing Simple Harmonic Motion and Circular Motion
4 exercises
15.3 Exercise 1
Identify an object that undergoes uniform circular motion. Describe how you could trace the SHM of this object.
15.3 Exercise 3
If the maximum speed of the mass attached to a spring, oscillating on a frictionless table, was increased, what characteristics of the rotating disk would need to be changed?
15.3 Exercise 5
(a) A novelty clock has a 0.0100-kg-mass object bouncing on a spring that has a force constant of 1.25 N/m. What is the maximum velocity of the object if the object bounces 3.00 cm above and below its equilibrium position? (b) How many joules of kinetic energy does the object have at its maximum velocity?
15.3 Exercise 7
A student stands on the edge of a merry-go-round which rotates five times a minute and has a radius of two meters one evening as the sun is setting. The student produces a shadow on the nearby building. (a) Write an equation for the position of the shadow. (b) Write an equation for the velocity of the shadow.
Adapted from University Physics Volume 1 © 2016 Rice University. Licensed under CC BY 4.0. Source: University Physics Volume 1. Imported at revision db44eb9.