Simple Harmonic Motion assignment for Lesson $11$

Name $q,$

Period and Frequency

What is the definition of period? What is the symbol for period, and what are its units?

b$)$ What is the definition of frequency? What is the symbol for frequency, and what are its units?

c$)$ What is the relationship between period and frequency?

What is the period of a spring$-$mass system if the mass is $15$ kg and the spring constant is $50\frac{N}{m}?$

b$)$ What is the frequency of oscillation?

What is the period of a pendulum if the length of the rope is $1\mathrm{.}5$ m $?$

Oscillating spring$-$mass systems can be used to experimentally determine an unknown mass without using a mass balance. A student observes that a particular spring$-$mass system has a frequency of oscillation of $10$ Hz $.$ The spring constant of the spring is $250\frac{N}{m}.$ What is the mass?

A student standing in an elevator at rest notices that her pendulum has a frequency of oscillation of $0\mathrm{.}5$ Hz $.$

a$)$ What is the length of the pendulum's string?

b$)$ The elevator starts to accelerate upwards. What effect will this have on the oscillation? Explain.