Instantaneous centre of rotation

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In summary, during a discussion about torque equations and instant centres of rotation, it was mentioned that there may be a pseudo torque term involved when the point of the equation is accelerating. A specific scenario was brought up where a bar is moving on a frictionless floor with both translation and rotation, causing an increase in angular speed and resulting in an angular acceleration at the instant centre of rotation. The location of the instantaneous axis of rotation and the force providing torque were also questioned.
  • #1
person_random_normal
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Tell me- in general
It is possible that -while writing torque equation about instant centre of rotation, we may get a pseudo torque term
That is instant centre of rotation may have some angular acceleration
Am I right ?
 
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  • #2
Shreyas Samudra said:
Tell me- in general
It is possible that -while writing torque equation about instant centre of rotation, we may get a pseudo torque term

No . Instantaneous axis of rotation means the axis is at rest . It is not accelerating .

Pseudo torque comes in picture when the point about which the torque equation is written is accelerating .
 
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  • #3
what if a bar is moving on frictionless floor (translating + rotating) and such that its angular speed is increasing ,
so instant centre is to have some angular acceleration
 
  • #4
Shreyas Samudra said:
what if a bar is moving on frictionless floor (translating + rotating) and such that its angular speed is increasing ,
so instant centre is to have some angular acceleration

How is the angular speed increasing ? Which force is providing torque ? Where do you think is the location of instantaneous axis of rotation ?
 

What is the instantaneous centre of rotation?

The instantaneous centre of rotation is a point in a rigid body that has zero velocity at a specific instant in time. It is the point around which all other points in the body appear to be rotating at that instant.

How is the instantaneous centre of rotation determined?

The instantaneous centre of rotation is determined using the concept of relative motion. It is the point where the velocities of two points in the body are perpendicular to the line connecting them, and the magnitudes of the velocities are inversely proportional to the distances from the point.

Why is the instantaneous centre of rotation important?

The instantaneous centre of rotation is important in understanding the motion of rigid bodies. It helps in analyzing the motion of complex systems and predicting future positions of the body.

Is the instantaneous centre of rotation always constant?

No, the instantaneous centre of rotation can change depending on the motion of the body. It can also vary for different points on the body.

Can the instantaneous centre of rotation be outside the body?

Yes, the instantaneous centre of rotation can be outside the body if the body is undergoing non-uniform motion. This means that different points on the body have different velocities, leading to a point outside the body being the instantaneous centre of rotation.

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