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The instantaneous centre of a rigid thin disc rolling on a plane rigid surface is located at
- a)the centre of the disc
- b)the point of contact
- c)an infinite distance on the plane surface
- d)the point on the circumference situated vertically opposite to the contact point
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
The instantaneous centre of a rigid thin disc rolling on a plane rigid...
Explanation:
When a rigid thin disc rolls on a plane rigid surface, the point of contact between the disc and the surface is known as the instantaneous center of rotation. This can be explained by the following points:
1. Definition of instantaneous center of rotation:
The instantaneous center of rotation is a point in a body that has zero velocity and is located at the intersection of the perpendiculars drawn from any two points on the body that are in motion.
2. In case of a rolling disc:
In the case of a rolling disc, the point of contact between the disc and the surface is the only point that has zero velocity. This is because at this point, the velocity of the disc is equal to the velocity of the surface.
3. Importance of instantaneous center of rotation:
The instantaneous center of rotation is important because it helps in analyzing the motion of a body. By knowing the location of the instantaneous center of rotation, one can predict the direction and magnitude of the velocity of any point on the body.
4. Location of instantaneous center of rotation:
In the case of a rolling disc, the instantaneous center of rotation is located at the point of contact between the disc and the surface. This is because this point has zero velocity.
Therefore, the correct option is 'B' - the point of contact.
When a rigid thin disc rolls on a plane rigid surface, the point of contact between the disc and the surface is known as the instantaneous center of rotation. This can be explained by the following points:
1. Definition of instantaneous center of rotation:
The instantaneous center of rotation is a point in a body that has zero velocity and is located at the intersection of the perpendiculars drawn from any two points on the body that are in motion.
2. In case of a rolling disc:
In the case of a rolling disc, the point of contact between the disc and the surface is the only point that has zero velocity. This is because at this point, the velocity of the disc is equal to the velocity of the surface.
3. Importance of instantaneous center of rotation:
The instantaneous center of rotation is important because it helps in analyzing the motion of a body. By knowing the location of the instantaneous center of rotation, one can predict the direction and magnitude of the velocity of any point on the body.
4. Location of instantaneous center of rotation:
In the case of a rolling disc, the instantaneous center of rotation is located at the point of contact between the disc and the surface. This is because this point has zero velocity.
Therefore, the correct option is 'B' - the point of contact.
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Community Answer
The instantaneous centre of a rigid thin disc rolling on a plane rigid...
Instantaneous center of rotation is the imaginary point about which a rigid body (in general plane motion) can be assumed to be in pure rotation
For a rotating rigid thin disc, point of contact is permanent instantaneous center of rotation about which each point on the disc appears to be in pure rotation.
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The instantaneous centre of a rigid thin disc rolling on a plane rigid surface is located ata)the centre of the discb)the point of contactc)an infinite distance on the plane surfaced)the point on the circumference situated vertically opposite to the contact pointCorrect answer is option 'B'. Can you explain this answer?
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