Question:
The centre of a wheel rolling on a plane surface moves with a speed $v_{ 0}$. A particle on the rim of the wheel at the same level as the centre will be moving at speed
The centre of a wheel rolling on a plane surface moves with a speed $v_{ 0}$. A particle on the rim of the wheel at the same level as the centre will be moving at speed
Updated On: Apr 15, 2024
- zero
- $v_{ 0}$
- $2v_{ 0}$
- $\sqrt{2v_{o}}$
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The Correct Option is D
Solution and Explanation
The given solution can be shown as
Here $v_0 = R\omega$
At $P, v = r \omega$
$= \sqrt{(R^2 + R^2)\omega}$
$ = \sqrt{2} R \omega = \sqrt{2} v_0$
Here $v_0 = R\omega$
At $P, v = r \omega$
$= \sqrt{(R^2 + R^2)\omega}$
$ = \sqrt{2} R \omega = \sqrt{2} v_0$
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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)