Lesson: Forced Oscillations
In this lesson, we will learn how to apply simple harmonic motion equations to oscillators driven at various frequencies, including their natural frequency.
Sample Question Videos
Worksheet: 3 Questions • 1 Video
When divers dive from a 1 m high springboard, before they jump off the board, they bounce on the end of it to increase the height above the pool that they achieve. For a short time, their motion can be modelled as simple harmonic motion.
Consider a diver of mass 55.0 kg who bounces on a springboard with a period of motion of 0.800 s. A second diver bounces on the same springboard with a period of 1.05 s. What is the mass of the second diver?
A suspension bridge was found to have an effective force constant of N/m when determining how it oscillates.
How much energy is needed to make the bridge oscillate with an amplitude of 0.210 m?
Soldiers march across the bridge and the time between their footfalls is equal to the reciprocal of the bridge’s natural frequency. The soldiers impart J of energy each second. For how long must the soldiers march on the bridge in order to increase the amplitude of the bridge’s oscillations from 0.210 m to 0.500 m?
An unloaded diving board oscillates at a frequency of 8.06 Hz. The board has an effective mass of 14.2 kg. What is the frequency of the oscillations of the board if a diver of mass 86.5 kg jumps up and down on it?