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Questions and Answers
What does the elastic constant (k) represent in Hooke's Law?
What does the elastic constant (k) represent in Hooke's Law?
When does an object exceed its elastic limit?
When does an object exceed its elastic limit?
What defines an object being in Simple Harmonic Motion (SHM)?
What defines an object being in Simple Harmonic Motion (SHM)?
In Simple Harmonic Motion, what happens to the potential energy of an object?
In Simple Harmonic Motion, what happens to the potential energy of an object?
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Which of the following is an example of Simple Harmonic Motion?
Which of the following is an example of Simple Harmonic Motion?
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What are the formulas for Hookes law and Elastic Constant k
What are the formulas for Hookes law and Elastic Constant k
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How is the acceleration of an object related to its displacement in Simple Harmonic Motion?
How is the acceleration of an object related to its displacement in Simple Harmonic Motion?
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Which of the following energy conversions occurs during Simple Harmonic Motion?
Which of the following energy conversions occurs during Simple Harmonic Motion?
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What unit is used to measure the elastic constant in Hooke's Law?
What unit is used to measure the elastic constant in Hooke's Law?
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What happens to the potential energy of an object as it undergoes Simple Harmonic Motion?
What happens to the potential energy of an object as it undergoes Simple Harmonic Motion?
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Study Notes
Hooke's Law
- The restoring force (F) is proportional to the displacement (s) from its equilibrium position.
- The restoring force is in the opposite direction to the displacement.
- F = –ks, where k is the elastic constant.
Elastic Constant
- The elastic constant (k) is the constant of proportionality relating force and displacement in Hooke's Law.
- The unit of k is newton per metre (N m-1).
Simple Harmonic Motion (SHM)
- SHM is the periodic motion in which the acceleration of a body is proportional to the displacement of that body from its equilibrium position and directed towards that position.
- A body is in SHM if:
- Its acceleration is directly proportional to its distance from a fixed point on its path.
- Its acceleration is always directed towards that point.
Characteristics of SHM
- The potential energy is converted into kinetic energy and vice versa during SHM.
- Examples of SHM include:
- A mass on the end of a spring or elastic band.
- The rise and fall of the tide.
- The prongs of a tuning fork when struck.
Oscillations and Amplitude
- A cycle or an oscillation is the movement from a particular position back to that same position.
- Amplitude (A) is the maximum distance that an object moves from its equilibrium position.
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