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
Question: Define Oscillatory motion and the terms associated with oscillation.
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
Question: What is simple harmonic motion? Explain the conditions necessary for a body to oscillate with SHM.
SHM … Mass-spring system
Question: What is spring-mass system in Physics? Show that a mass attached to a spring executes SHM.
Question: Derive expressions for the time period and frequency of mass-spring system.
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?
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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.
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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.
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SHM …Simple Pendulum
Question: What is simple pendulum? Diagramically show the forces acting on a simple pendulum. Show that a simple pendulum executes Simple Harmonic Motion.
Question: Derive expressions for the time period and frequency of a simple pendulum.
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.
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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?
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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?
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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?
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