A wheel is rotating about its center O as shown Which of the

A wheel is rotating about its center O as shown. Which of the following is the correct statement regarding the linear and angular momentum of the wheel? Both the linear and angular momentum are zero Linear momentum is not zero but the angular momentum is zero Neither the linear nor the angular momentum is zero Linear momentum is zero but the angular momentum is not zero

Solution

Linear momentum is zero but the angular momentum is not zero

Since the wheel is rotating about thevl fixed center it is the case of a pure rotation without any translation. Therefore linear velocity V =0. Linear momentum is given by P=M*V.Therefore it is zero.

Now the angular momentum is given by I*W, where I is moment of inertia and W is angular velocity.