Vibrations and Waves

Example 1 If a mass of 0.55kg attached to a vertical spring stretches the spring 2.0cm from its equilibrium position, what is the spring constant?

Example 2 If a mass of 0.55kg attached to a vertical spring stretches the spring 36.0cm from its equilibrium position, what is the spring constant?

Example 3 Is the second spring stiffer or less stiff?

Example 4 A slingshot consists of a light leather cup attached between two rubber bands. If it takes a force of 32 N to stretch the bands 1.2 cm, what is the spring constant of the rubber band?

Example 5 A slingshot consists of a light leather cup attached between two rubber bands. How much force is required to pull the cup of this slingshot 3.0 cm from its equilibrium position?

Example 6 A load of 45N attached to a spring that is hanging vertically stretches the spring 0.14 m. What is the spring constant?

Example 7 Are the following examples of simple harmonic motion? A child swinging on a playground swing at a small angle.

Example 8 Are the following examples of simple harmonic motion? An oscillating clock pendulum.

Example 9 Are the following examples of simple harmonic motion? A rotating record on a turntable

Example 10 A pinball machine uses a spring that is compressed 4.0 cm to launch a ball. If the spring constant is 13 N/m, what is the force on the ball at the moment the spring is released?

Example 11 How does the restoring force acting on a pendulum bob change as the bob swings towards the equilibrium position?

Example 12 How does the bob’s acceleration change as the bob swings towards the equilibrium position?

Example 13 How does the bob’s velocity change as the bob swings towards the equilibrium position?