Question:
A disc is performing pure rolling on a smooth
stationary surface with constant angular velocity
as shown in figure. At any instant, for the lower most point of the disc -
A disc is performing pure rolling on a smooth
stationary surface with constant angular velocity
as shown in figure. At any instant, for the lower most point of the disc -
Updated On: Jan 30, 2025
- velocity is v, acceleration is zero
- velocity is zero, acceleration is zero
- velocity is v, acceleration is $v^2/R$
- velocity is zero, acceleration is $v^2/R$
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The Correct Option is D
Solution and Explanation
$v _{ A }=0$ (due to pure rolling)
Angular acceleration (for A), a
$=R w^{2}=R \frac{v^{2}}{R^{2}}$
$\Rightarrow a=\frac{v^{2}}{R}$
Angular acceleration (for A), a
$=R w^{2}=R \frac{v^{2}}{R^{2}}$
$\Rightarrow a=\frac{v^{2}}{R}$
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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)