A point P consider at contact point of a wheel on ground which rolls on ground without slipping then value of displacement of point P when wheel completes half of rotation (If radius of wheel is 1m) :
A point P consider at contact point of a wheel on ground which rolls on ground without slipping then value of displacement of point P when wheel completes half of rotation (If radius of wheel is 1m) :
2m
\(\sqrt{\pi^2+4}\) m
\(\pi\) m
\(\sqrt{π^2+2}\) m
The Correct Option is B
Solution and Explanation
The correct option is (B) : \(\sqrt{\pi^2+4}\) m
displacement PQ = \(\sqrt{PM^2}\)+(QM)2=\(\sqrt {\pi R^2 +(2R)^2}\) =\(\sqrt{\pi^2+4}\) (∵ R = 1m)
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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)