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When a rigid body is suspended vertically, and it oscillates with a small amplitude under the action of the force of gravity, the body is known as
- a)simple pendulum
- b)compound pendulum
- c)torsional pendulum
- d)second's pendulum
Correct answer is option 'B'. Can you explain this answer?
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When a rigid body is suspended vertically, and it oscillates with a sm...
When a rigid body is suspended vertically, and it oscillates with a small amplitude under the action of the force of gravity, the body is known as compound pendulum. Thus the periodic time of a compound pendulum is minimum when the distance between the point of suspension and the centre of gravity is equal to the radius of gyration of the body about its centre of gravity.
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When a rigid body is suspended vertically, and it oscillates with a sm...
Solution:
When a rigid body is suspended vertically and oscillates with a small amplitude under the action of gravity, it is known as a compound pendulum.
Explanation:
A compound pendulum is a physical system that consists of a rigid body pivoted at a fixed point, allowing it to oscillate back and forth under the influence of gravity. It differs from a simple pendulum in that the mass of the body is not concentrated at a single point but is distributed throughout its length.
Characteristics of a Compound Pendulum:
1. Pivot Point: The pivot point acts as the center of oscillation for the compound pendulum. It is the fixed point about which the body rotates.
2. Mass Distribution: Unlike a simple pendulum, the mass of the compound pendulum is distributed along its length. This mass distribution affects the period of oscillation.
3. Period of Oscillation: The period of oscillation of a compound pendulum is the time taken for one complete cycle of oscillation. It is influenced by several factors, including the length and mass distribution of the pendulum.
4. Amplitude: The amplitude of oscillation refers to the maximum displacement of the pendulum from its equilibrium position. In the case of a compound pendulum, the amplitude is small.
5. Force of Gravity: The force of gravity acts on the center of mass of the compound pendulum, causing it to oscillate. The weight of the body creates a restoring torque that brings the pendulum back towards its equilibrium position.
6. Small Amplitude: When the amplitude of oscillation is small, the motion of the compound pendulum can be approximated as simple harmonic motion. This allows us to use equations and formulas derived for simple pendulums to analyze the motion of compound pendulums.
Therefore, when a rigid body is suspended vertically and oscillates with a small amplitude under the action of gravity, it is referred to as a compound pendulum. This term is used to distinguish it from a simple pendulum, where the mass is concentrated at a single point.
When a rigid body is suspended vertically and oscillates with a small amplitude under the action of gravity, it is known as a compound pendulum.
Explanation:
A compound pendulum is a physical system that consists of a rigid body pivoted at a fixed point, allowing it to oscillate back and forth under the influence of gravity. It differs from a simple pendulum in that the mass of the body is not concentrated at a single point but is distributed throughout its length.
Characteristics of a Compound Pendulum:
1. Pivot Point: The pivot point acts as the center of oscillation for the compound pendulum. It is the fixed point about which the body rotates.
2. Mass Distribution: Unlike a simple pendulum, the mass of the compound pendulum is distributed along its length. This mass distribution affects the period of oscillation.
3. Period of Oscillation: The period of oscillation of a compound pendulum is the time taken for one complete cycle of oscillation. It is influenced by several factors, including the length and mass distribution of the pendulum.
4. Amplitude: The amplitude of oscillation refers to the maximum displacement of the pendulum from its equilibrium position. In the case of a compound pendulum, the amplitude is small.
5. Force of Gravity: The force of gravity acts on the center of mass of the compound pendulum, causing it to oscillate. The weight of the body creates a restoring torque that brings the pendulum back towards its equilibrium position.
6. Small Amplitude: When the amplitude of oscillation is small, the motion of the compound pendulum can be approximated as simple harmonic motion. This allows us to use equations and formulas derived for simple pendulums to analyze the motion of compound pendulums.
Therefore, when a rigid body is suspended vertically and oscillates with a small amplitude under the action of gravity, it is referred to as a compound pendulum. This term is used to distinguish it from a simple pendulum, where the mass is concentrated at a single point.
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When a rigid body is suspended vertically, and it oscillates with a small amplitude under the action of the force of gravity, the body is known asa)simple pendulumb)compound pendulumc)torsional pendulumd)second's pendulumCorrect answer is option 'B'. Can you explain this answer?
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