Two point A and B Lie on two extremes of a diameter AB as shown in figure- The sphere rotates with constant angular velocity - about an axis as shown- What is the angular velocity of Q with respect to P -A- -2B- -4C- 2 -D- -

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Two point A a...

Question

Two point A and B Lie on two extremes of a diameter AB as shown in figure. The sphere rotates with constant angular velocity $ω$ about an axis as shown. What is the angular velocity of Q with respect to P?

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Solution

The correct option is D

If a body rotates with constant angular velocity implies that the body rotates equal angle about any line considered through the body. Therefore the angular velocity of the whole body will be ' $ω$ ' about any point on the body. That is why it is the angular velocity of the body as a whole.

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Two point A and B Lie on two extremes of a diameter AB as shown in the figure. The sphere rotates with constant angular velocity $ω$ about an axis as shown. What is the angular velocity of Q with respect to P?

Two point A and B Lie on two extremes of a diameter AB as shown in figure. The sphere rotates with constant angular velocity $ω$ about an axis as shown. What is the angular velocity of Q with respect to P?