Question:
A 10kg body hangs at rest from a rope wrapped around a cylinder of 0.2 m in diameter. The torque applied about the horizontal axis of the cylinder is:
A 10kg body hangs at rest from a rope wrapped around a cylinder of 0.2 m in diameter. The torque applied about the horizontal axis of the cylinder is:
Updated On: Sep 29, 2024
- 98 Nm
- 19.6 Nm
- 196 Nm
- 9.8 Nm
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The Correct Option is D
Solution and Explanation
Given :
Torque, we know is as follows :
T = r × F
= r × T
= r × m × g
= 0.1 × 10 × 9.8
= 9.8 Nm
So, the correct option is (D) : 9.8 Nm
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Concepts Used:
Rotational Motion
Rotational motion can be defined as the motion of an object around a circular path, in a fixed orbit.
Rotational Motion Examples:
The wheel or rotor of a motor, which appears in rotation motion problems, is a common example of the rotational motion of a rigid body.
Other examples:
- Moving by Bus
- Sailing of Boat
- Dog walking
- A person shaking the plant.
- A stone falls straight at the surface of the earth.
- Movement of a coin over a carrom board
Types of Motion involving Rotation:
- Rotation about a fixed axis (Pure rotation)
- Rotation about an axis of rotation (Combined translational and rotational motion)
- Rotation about an axis in the rotation (rotating axis)