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In a simple pendulum the restoring force is due to
- a)The radial component of the gravitational force
- b)The tangential component of the gravitational force
- c)The tangential component of the tension in string
- d)The radial component of the tension in string
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
In a simple pendulum the restoring force is due toa)The radial compone...
The Restoring Force in a Simple Pendulum
To understand the restoring force in a simple pendulum, let's break down the components involved and analyze each one:
1. Gravitational Force
The gravitational force acts vertically downwards on the pendulum bob. It can be resolved into two components:
- Radial Component: This component acts towards the equilibrium position of the pendulum. It is responsible for providing the restoring force that brings the pendulum back to its equilibrium when it is displaced. This is the correct option (A).
- Tangential Component: This component acts perpendicular to the radial component, parallel to the arc of the pendulum's swing. It does not contribute to the restoring force in the pendulum.
2. Tension in the String
The tension in the string is the force exerted by the string on the pendulum bob to keep it in circular motion. Similar to the gravitational force, the tension can also be resolved into two components:
- Tangential Component: This component acts along the arc of the pendulum's swing and is responsible for providing the centripetal force required for circular motion. It does not contribute to the restoring force.
- Radial Component: This component acts towards the equilibrium position of the pendulum and is responsible for providing the restoring force that brings the pendulum back to its equilibrium when it is displaced. However, this component is not the primary force responsible for the restoring force in a simple pendulum.
Therefore, the correct answer is option 'A' - the restoring force in a simple pendulum is due to the radial component of the gravitational force.
Conclusion
In summary, the restoring force in a simple pendulum is primarily due to the radial component of the gravitational force. This force acts towards the equilibrium position and brings the pendulum bob back to its rest position when it is displaced. The other forces involved, such as the tangential components of the gravitational force and tension in the string, do not contribute significantly to the restoring force.
To understand the restoring force in a simple pendulum, let's break down the components involved and analyze each one:
1. Gravitational Force
The gravitational force acts vertically downwards on the pendulum bob. It can be resolved into two components:
- Radial Component: This component acts towards the equilibrium position of the pendulum. It is responsible for providing the restoring force that brings the pendulum back to its equilibrium when it is displaced. This is the correct option (A).
- Tangential Component: This component acts perpendicular to the radial component, parallel to the arc of the pendulum's swing. It does not contribute to the restoring force in the pendulum.
2. Tension in the String
The tension in the string is the force exerted by the string on the pendulum bob to keep it in circular motion. Similar to the gravitational force, the tension can also be resolved into two components:
- Tangential Component: This component acts along the arc of the pendulum's swing and is responsible for providing the centripetal force required for circular motion. It does not contribute to the restoring force.
- Radial Component: This component acts towards the equilibrium position of the pendulum and is responsible for providing the restoring force that brings the pendulum back to its equilibrium when it is displaced. However, this component is not the primary force responsible for the restoring force in a simple pendulum.
Therefore, the correct answer is option 'A' - the restoring force in a simple pendulum is due to the radial component of the gravitational force.
Conclusion
In summary, the restoring force in a simple pendulum is primarily due to the radial component of the gravitational force. This force acts towards the equilibrium position and brings the pendulum bob back to its rest position when it is displaced. The other forces involved, such as the tangential components of the gravitational force and tension in the string, do not contribute significantly to the restoring force.
Community Answer
In a simple pendulum the restoring force is due toa)The radial compone...
the answer given in the solution is wrong
when a bob oscillates about its mean position.
[1]the radial force T-mg Cos theta provides centripetal force but no torque about the support.
[2]the tangential force mg Sin theta provides the RESTORING TORQUE
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In a simple pendulum the restoring force is due toa)The radial component of the gravitational forceb)The tangential component of the gravitational forcec)The tangential component of the tension in stringd)The radial component of the tension in stringCorrect answer is option 'A'. Can you explain this answer?
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