Simple Harmonic Motion (SHM)

SHM occurs when an object oscillates back and forth over the same path.

Examples1. 2.

1. Period, T, the time it takes to execute one complete cycle of motion. Units:

2. Frequency, f, the number of cycles or vibrations per unit time. Units:

3. Amplitude, A, the maximum distance traveled by an object away from its equilibrium position. Units:

An object is attached to a spring and executes SHM with a period of 0.25 s. If the spring constant of the spring is 126.3 N/m then what is the mass of the object?

A 1300 kg car is constructed on a frame supported by four springs. Each spring has a spring constant of 20,000 N/m. If two people riding in the car have a combined mass of 160 kg, find the:

a) Period of the vibration of the car when it is driven over a pothole in the road.

b) Frequency of the vibration of the car.c) How long does it take the car to execute 3 complete

cycles?

A simple pendulum of length 2 m oscillates on earth.

a) How many complete oscillations does it make in 5 min?

b) What is the period of the pendulum on moon where the force of gravity is 1/6 that of earth?