Studying for my final exam, these are the previous tests, I need help understand
ID: 2254380 • Letter: S
Question
Studying for my final exam, these are the previous tests, I need help understanding them completely. If you may please answer with formulas used, and any thoughts that might have been used to answers these and a clear explanation of the process used to achieve
the answer.
Two points are located on a rigid wheel that is rotating with decreasing angular velocity about a fixed axis. Point A is located on the rim of the wheel and point B is halfway between the rim and the axis. Which one of the following statements concerning this situation is true? Both points have the same centripetal acceleration. Both points have the same tangential acceleration. The angular velocity at point A is greater than that of point B. Both points have the same instantaneous angular velocity. Each second, point A turns through a greater angle than point B. A solid sphere rotates about a fixed axis perpendicular to the page (indicated by the point labeled P). The sphere has mass M and radius R. Determine moment of inertia for the sphere to rotate about P. 2/3MR2 MR2 2/5 MR2 22/5 MR2 As shown in the figure, a particle with a mass of M rotates in a circle (centered at the origin and of radius r) in the xy plane about the z axis with a constant speed of v. None of r,M and v are zero. Find the magnitude and direction of the angular momentum of the particle relative to the origin. rMv in z direction rMv in -z direction rMv in xy plane zero because of cos(90 degree).Explanation / Answer
1)d is correct since velocity=wr and acceleration=w^2r
and w is equal at each point on the disk
2)I=Io+MD^2
=0.4MR^2+M(2R)^2
=4.4MR^2
=22/5 MR^2
3)L=rXp (use the right hand thumb rule to get the direction.
so rmv in +z direction