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Questions and Answers
What happens to the speed of the bob when it moves towards point B from O in the system described?
What happens to the speed of the bob when it moves towards point B from O in the system described?
- It fluctuates randomly
- It increases
- It decreases (correct)
- It remains constant
In simple harmonic motion (SHM), the acceleration of the object is __________.
In simple harmonic motion (SHM), the acceleration of the object is __________.
- Always directed away from the mean position
- Constant in magnitude
- Always directed towards the mean position (correct)
- Unpredictable
What is a key feature of a body executing Simple Harmonic Motion (SHM) in terms of its vibration?
What is a key feature of a body executing Simple Harmonic Motion (SHM) in terms of its vibration?
- It vibrates about a fixed position (correct)
- It vibrates about multiple positions
- It vibrates randomly
- It does not vibrate at all
Which of the following statements best defines the time period of a pendulum in SHM?
Which of the following statements best defines the time period of a pendulum in SHM?
What is the relationship between the acceleration and displacement of an object in SHM?
What is the relationship between the acceleration and displacement of an object in SHM?
Why is the period of a pendulum considered independent of its mass and amplitude?
Why is the period of a pendulum considered independent of its mass and amplitude?
What is the time period of a simple pendulum dependent on?
What is the time period of a simple pendulum dependent on?
What is the frequency of a vibrating body defined as?
What is the frequency of a vibrating body defined as?
What is the maximum displacement from the mean position called in the context of Simple Harmonic Motion (SHM)?
What is the maximum displacement from the mean position called in the context of Simple Harmonic Motion (SHM)?
In which type of waves do particles of the medium vibrate perpendicular to the direction of wave propagation?
In which type of waves do particles of the medium vibrate perpendicular to the direction of wave propagation?
Which waves require a medium for their propagation?
Which waves require a medium for their propagation?
What is the speed of a wave equal to?
What is the speed of a wave equal to?
What is required for an object to oscillate with Simple Harmonic Motion (SHM)?
What is required for an object to oscillate with Simple Harmonic Motion (SHM)?
In the context of SHM, what happens to the time period (T) if the length of a simple pendulum is increased?
In the context of SHM, what happens to the time period (T) if the length of a simple pendulum is increased?
What effect does damping have on the amplitude of oscillation in Simple Harmonic Motion?
What effect does damping have on the amplitude of oscillation in Simple Harmonic Motion?
Which term refers to the maximum displacement of a particle from the equilibrium position in SHM?
Which term refers to the maximum displacement of a particle from the equilibrium position in SHM?
If a ball is placed in a bowl and is disturbed from its equilibrium position, what type of motion will it exhibit?
If a ball is placed in a bowl and is disturbed from its equilibrium position, what type of motion will it exhibit?
How does the time period of a simple pendulum change if the acceleration due to gravity (g) is increased?
How does the time period of a simple pendulum change if the acceleration due to gravity (g) is increased?
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Study Notes
Simple Harmonic Motion (SHM) and Pendulum Behavior
- The speed of the bob increases as it moves towards point B from O due to the conversion of potential energy into kinetic energy.
- In SHM, the acceleration of the object is always directed towards the mean position and is proportional to the displacement from that position.
- A key feature of a body executing SHM is that it vibrates about an equilibrium position and its motion is periodic.
- The time period of a pendulum in SHM is defined as the time taken for one complete cycle of motion.
- In SHM, the acceleration is directly proportional to the negative displacement from the mean position, illustrating Hooke's Law.
- The period of a pendulum is independent of mass and amplitude because it primarily depends on the length of the pendulum and the acceleration due to gravity.
- The time period of a simple pendulum is dependent on its length and the acceleration due to gravity (g).
- The frequency of a vibrating body is defined as the number of complete cycles of motion occurring in one second.
- The maximum displacement from the mean position in SHM is referred to as the amplitude.
Waves and Oscillation
- In transverse waves, particles of the medium vibrate perpendicular to the direction of wave propagation.
- Mechanical waves, such as sound waves, require a medium (solid, liquid, or gas) for their propagation.
- The speed of a wave is equal to the product of its frequency and wavelength.
- For an object to oscillate with SHM, it must experience a restoring force that is directly proportional to the displacement from its equilibrium position.
- Increasing the length of a simple pendulum results in an increase in the time period (T), making it swing more slowly.
- Damping refers to a decrease in the amplitude of oscillation over time due to energy loss, often from friction or resistance in the medium.
- The maximum displacement of a particle from its equilibrium position in SHM is known as the amplitude.
- When a ball is placed in a bowl and disturbed from its equilibrium position, it will exhibit oscillatory motion about the equilibrium position.
- If the acceleration due to gravity (g) is increased, the time period of a simple pendulum decreases, resulting in a faster oscillation.
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