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Questions and Answers
What happens to the period of a simple pendulum when the length is increased?
What happens to the period of a simple pendulum when the length is increased?
What is the effect of increasing the amplitude on the period of a simple pendulum?
What is the effect of increasing the amplitude on the period of a simple pendulum?
What factor does not affect the period of a simple pendulum?
What factor does not affect the period of a simple pendulum?
What happens to the kinetic energy of a particle in simple harmonic motion (SHM) at the extreme positions?
What happens to the kinetic energy of a particle in simple harmonic motion (SHM) at the extreme positions?
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What is the relationship between the amplitude and the maximum potential energy of a particle in SHM?
What is the relationship between the amplitude and the maximum potential energy of a particle in SHM?
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How does the frequency of a particle in SHM change if the mass of the particle is doubled?
How does the frequency of a particle in SHM change if the mass of the particle is doubled?
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Study Notes
Simple Pendulum Period
- Increasing the length of a simple pendulum results in an increase in the period. The longer the pendulum, the slower it swings, leading to a longer time for one complete cycle.
- The relationship between the period (T) and length (L) of a simple pendulum is described by the formula T = 2π√(L/g), where g is the acceleration due to gravity.
Amplitude's Effect on Period
- For small amplitudes, the period of a simple pendulum remains largely unaffected by changes in amplitude. However, at larger amplitudes, the period may slightly increase due to non-linearity.
Factors Not Affecting Period
- The mass of the pendulum bob does not influence the period of a simple pendulum. The period is determined solely by the length of the pendulum and the acceleration due to gravity.
Kinetic Energy in SHM
- At extreme positions in simple harmonic motion (SHM), the kinetic energy of the particle is zero. At these points, the particle momentarily comes to rest before changing direction.
Amplitude and Maximum Potential Energy
- The maximum potential energy (PE) of a particle in SHM is directly proportional to the square of the amplitude. As the amplitude increases, the maximum potential energy also increases proportionally.
Frequency and Mass in SHM
- Doubling the mass of a particle in SHM does not change its frequency. The frequency is determined by the spring constant and the mass, but it remains constant when mass is doubled in a system that follows Hooke's law.
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Description
Test your knowledge of simple pendulums with this quiz! Explore factors that do and do not affect the period of a simple pendulum, and discover how changes in length and amplitude impact its period.
