## Theory of SHM and Waves

This page consists of theory, examples, assignments and Comprehensive Questions included in unit 10, SHM and Waves for grade 10.

Topics, Questions, Examples, and Assignments

### Oscillations

#### Example 10.1: What is the frequency of oscillation if the time period is 20 ms?

Assignment 10.1: When an object oscillates with a frequency of 0.5 Hz, what is its time period?

### Simple Harmonic Motion

#### Example 10.2: A spring has a spring constant 48.0 N/m. This spring is pulled to a distance of 55 cm from equilibrium. What is the restoring force?

Assignment 10.2: Determine the restoring force of a spring displaced 1.5 m with the spring constant of 30.0 N/m.

#### Example 10.3: What is the mass of a vertical mass-spring system if it oscillates with a period of 2.0 s and has spring constant of 20.0 N/m.

Asignment 10.3:A body of mass 0.2 kg is attached to a spring placed on a frictionless horizontal surface. The spring constant of the spring is 4 N/m. Find the time period of the oscillating mass-spring system.

#### Example 10.4: Determine the magnitude of the restoring force for a pendulum bob of mass 100.0 g that has been pulled to an angle of 10° from the vertical.

Asshignment 10.4: At what angle must the pendulum be displaced to create a restoring force of 4.00 N on a bob with a mass of 500.0 g?

#### Example 10.5: What is the gravitational field strength at planet Mercury, if a 0.500 m pendulum swings with a period of 2.30 s?

Assignment 10.5: What is the gravitational field strength at the top of Mount Everest at an altitude of 8954.0 m, if a pendulum with a length of 1.00 m has a period of 2.01 s?