What is relative angular velocity of A wrt B and that of A wrt C in the figure given below?
Description:
- A, B and C lie on a solid cylinder(rigid body) rotating with a constant angular velocity $\vec{\omega}$ about z axis
- A and C lie on the plane perpendicular to $\vec{\omega}$
- B lies directly below A with the same distance from the axis as A i.e. they lie in the line parallel to axis of rotation(z axis)
What I think are correct answers:
a) Relative angular velocity of A wrt C is $\vec{\omega}$ only (even direction is same as the original $\vec{\omega}$). This is proved in the answer of this question:Relative angular velocity of point with respect to another point
b) Relative angular velocity of A wrt B is zero because relative velocity of A wrt to B is zero.
Are my answers correct?
What would be the interpretation of non-zero angular velocity of A with respect to C and that of zero angular velocity of A wrt B? If i sit on C and observe A do i see A moving wrt C, but if i sit on B and observe A will i see A still? If i see A moving do i need to move my head also to continually see A?