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The instantaneous centre of rotation of a rigid thin disc rolling on a plane rigid surface is located at
- a)the centre of the disc
- b)an infinite distance on the plane surface
- c)the point of contant
- d)the point on the circumference situated vertically opposite to the contact point
Correct answer is option 'C'. Can you explain this answer?
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The instantaneous centre of rotation of a rigid thin disc rolling on a...
The instantaneous centre of rotation lies at the centre of the disc.
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The instantaneous centre of rotation of a rigid thin disc rolling on a...
Explanation:
When a rigid thin disc rolls on a plane rigid surface, the instantaneous centre of rotation is the point on the disc which has zero velocity at that instant. The point on the disc which has zero velocity is the point which is in contact with the plane. Therefore, the instantaneous centre of rotation is the point of contact between the disc and the plane.
Reasoning:
When a rolling disc moves on a plane surface, the point of contact between the disc and the plane is at rest. The rest of the disc is in motion. Therefore, the point of contact is the point which has zero velocity at that instant. This point is also the point around which the disc is rotating. Therefore, the instantaneous centre of rotation is the point of contact between the disc and the plane.
Conclusion:
The correct option is C, the point of contact between the disc and the plane.
When a rigid thin disc rolls on a plane rigid surface, the instantaneous centre of rotation is the point on the disc which has zero velocity at that instant. The point on the disc which has zero velocity is the point which is in contact with the plane. Therefore, the instantaneous centre of rotation is the point of contact between the disc and the plane.
Reasoning:
When a rolling disc moves on a plane surface, the point of contact between the disc and the plane is at rest. The rest of the disc is in motion. Therefore, the point of contact is the point which has zero velocity at that instant. This point is also the point around which the disc is rotating. Therefore, the instantaneous centre of rotation is the point of contact between the disc and the plane.
Conclusion:
The correct option is C, the point of contact between the disc and the plane.
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The instantaneous centre of rotation of a rigid thin disc rolling on a plane rigid surface is located ata)the centre of the discb)an infinite distance on the plane surfacec)the point of contantd)the point on the circumference situated vertically opposite to the contact pointCorrect answer is option 'C'. Can you explain this answer?
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