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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)torsional pendulum
- c)compound pendulum
- d)second’s pendulum
Correct answer is option 'C'. Can you explain this answer?
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When a rigid body is suspended vertically and it oscillates with a sma...
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 sma...
Compound Pendulum Explanation:
A compound pendulum refers to a rigid body that is suspended vertically and oscillates with a small amplitude under the force of gravity. Let's break down the concept further:
Definition:
A compound pendulum consists of a rigid body that oscillates about a horizontal axis, perpendicular to the axis of suspension.
Characteristics:
- The body has both translational and rotational motion.
- The period of oscillation of a compound pendulum depends on the distribution of mass and the axis of rotation.
Comparison with Simple Pendulum:
- A simple pendulum consists of a mass (bob) attached to a string, while a compound pendulum has a rigid body with mass distributed along its length.
- The motion of a simple pendulum is purely rotational, while a compound pendulum has both translational and rotational motion.
Importance:
- Compound pendulums are used in various applications such as seismology, determining the moment of inertia of irregular objects, and studying the behavior of physical systems.
In conclusion, a rigid body suspended vertically and oscillating with a small amplitude under the force of gravity is known as a compound pendulum. It is characterized by its complex motion involving both translation and rotation, making it distinct from a simple pendulum.
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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)torsional pendulumc)compound pendulumd)second’s pendulumCorrect answer is option 'C'. Can you explain this answer?
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