a rhinoceros beetles ride the rim of a horizontal disk
Answers
The full question is this :
A rhinoceros beetle rides the rim of a horizontal disk rotating
counterclockwise like a merry-go-round. If the beetle then walks along the rim in the direction of the rotation, will the magnitudes of the following quantities (each measured about the rotation axis) increase, decrease, or remain the same (the disk is still rotating in the counterclockwise direction):
(a) the angular momentum of the beetle – disk system,
(b) the angular momentum and angular velocity of the beetle, and
(c) the angular momentum and angular velocity of the disk?
(d) What are your answers if the beetle walks in the direction opposite the rotation?
1. We have a rhinoceros the rides the rim of horizontal disk rotating counterclockwise like a merry go round then the beetle walks along with the rim in the direction of the rotation.
(a) Since there is no external force acting on the system then the angualr momentum is conserved which means the angulqr moment stays constant.
(b) The angular momentum of the beetle is given by,
lb=mrv
where r is the distance between the beetle and the center of tue rotation, m is its mass, and v is the linear velocity, then it increases as the beetle walks along with the rim in the direction of the rotation and also the angular velocity increases as the beetle walks.
(c) Now if the beetle walks along the rim in the opposite direction of the rotation then the angular momentum of the system syay constant as showed in part (a) but thr regular momentrum of the beetle decreases and the angluar velocity also decreases.