Question

1. Define angular position and speed. Derive equations which describe relationship between these angular quantities and their linear counterparts.

2. Inordertofindthemomentofinertiaofasolidandhollowcylinderyouwillneedto carry out the measurement with the empty supporting plate. Explain why this is necessary.

Answer 1

© Angulor theed @ = cestttat² = b 2 Angular acceleration Angulor position @ wot g = ut ti at² Linear Counter parts y sut

Angular position is defined as the angle made by the object from origin of the problem . SI unit = radians

Angular speed is defined as the rate of change of position .

SI unit = radians/sec

In order to find the moment of inertia of a solid and hollow cylinder we need to carry out the measurement with the empty supporting plate because the other masses present on the plate will also contribute to the moment of inertia and thus we cannot find the original value for moment of inertia of a solid or hollow cylinder.