AQA A-Level Physics 7408
Measurements and Their Errors
Particles and Radiation
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Mechanics and Materials
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Further Mechanics and Thermal Physics
Fields and Their Consequences
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Further Mechanics and Thermal Physics
Simple harmonic systems
- 8 things to know
- Papers 2 and 3
Overview
The mass-spring system and the simple pendulum, energy in SHM, damping, and the two required practicals.
What you need to know
Answer each one before you reveal it.
What small-angle approximation is used, and when does a pendulum truly show SHM?
Why is the potential energy curve parabolic, and how does kinetic energy vary with time?
Why does kinetic energy vary at twice the frequency of displacement, and what is damping?
In the mass-spring practical, what is plotted and what does the gradient give?
In the pendulum practical, what is plotted and what does the gradient give?
Why time many oscillations rather than one in the mass-spring and pendulum practicals?
What are the two systems used in Required Practical 7 to investigate simple harmonic motion?
Questions from this subtopic
Each one with the model answer underneath.
- 1
State the formula for the time period of a mass-spring system undergoing simple harmonic motion.
Model answer
T = 2π√(m/k), where T is the time period, m is the mass, and k is the spring constant.
- 2
In the equation T = 2π√(m/k) for a mass-spring system, what does each symbol represent?
Model answer
T is the time period, m is the mass attached to the spring, and k is the spring constant.
- 3
State the formula for the time period of a simple pendulum undergoing simple harmonic motion.
Model answer
T = 2π√(l/g), where T is the time period, l is the length of the pendulum, and g is the gravitational field strength.
- 4
In the equation T = 2π√(l/g) for a simple pendulum, identify what each variable represents.
Model answer
T is the time period, l is the length of the pendulum (from pivot to centre of mass of bob), and g is the gravitational field strength.
- 5
What factors does the time period of a mass-spring system depend on, and what factor does it not depend on?
Model answer
The time period depends on mass and spring constant, but is independent of amplitude.
- 6
If the amplitude of oscillation of a mass-spring system is doubled, what happens to the time period?
Model answer
The time period remains unchanged, as it is independent of amplitude.
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