What is the Instant Centre of Rotation for a Rotating Bar?

In summary, the instant centre of rotation is a point in a rigid body that has zero velocity at a given instant in time. It can be determined by analyzing the velocities of two points on the body and is important in understanding the motion of the body and calculating forces and torques. It can change depending on the motion of the body and is different from the centre of mass, although they may coincide in some cases.
  • #1
Hidd
15
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Homework Statement


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Homework Equations


orthogonality condition: that means that the point of ICR is orthogonal to the velocity Vb and Va

The Attempt at a Solution


the solution that i found with the problem is:
The ICR of the bar is at infinity. the motion of the bar is translational.

I think that the answer is wrong because the point A is rotating, thus the the velocity of vb is not parallel to Va.
 

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  • #2
I agree with you. Only if a = 0 are the velocities parallel -- and then the bar does indeed not rotate
 
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1. What is the instant centre of rotation?

The instant centre of rotation is a point in a rigid body that has zero velocity at a given instant in time. It is the point around which the body appears to rotate instantaneously.

2. How is the instant centre of rotation determined?

The instant centre of rotation can be determined by analyzing the velocities of two points on a rigid body. The point where the velocities of these two points are equal and opposite is the instant centre of rotation.

3. What is the significance of the instant centre of rotation?

The instant centre of rotation is an important concept in understanding the motion of a rigid body. It helps in analyzing the direction and speed of rotation of the body, and can also be used to calculate forces and torques acting on the body.

4. Can the instant centre of rotation change?

Yes, the instant centre of rotation can change depending on the motion of the rigid body. It may also change with time as the body moves and its velocity changes.

5. How is the instant centre of rotation related to the centre of mass?

The instant centre of rotation and centre of mass are two different concepts. While the instant centre of rotation is a point where there is zero velocity at a given instant, the centre of mass is a point where the entire mass of a body can be considered to be concentrated. However, in some cases, the instant centre of rotation may coincide with the centre of mass of a body.

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