Consider the object shown in figure A below. What is its rotational inertia? Consider the alternate case of figure B of the same system rotating about a different axis. What would you expect the rotational inertia to be in this case

You stand on a turn-table with arms extended out horizontally, as shown in the figure below. In each hand, she holds an 8 kg weight. In this initial state, your professor and the turn-table are rotating at a constant rate of 9 rpm. Note that each weight is held 85 cm from the axis of rotation. Your professor brings her arms, and the weights, inwards towards her axis of rotation, as shown in the figure. What is the final rotational speed, in rpm, of your professor on the turn- table? You can assume that the weights are located on the axis of rotation in this final state. Wi Wt inital rinal State stüte The turn-table has a moment of inertia of 0.31 kg m^2. Your mated as a solid cylinder of uniform density with a mass of 65 kg and a radius of 16 cm. You can neglect the mass of the arms. assume that the weights can be approximated as point masses. body can be approxi-

m₁ m₂ A Origin B m₂ m₂ X

A thing solid cylinder has a mass 6.98kg and a length 1.66 m. What is its moment of inertia (in unit of kg.m2) when it is rotating as shown above? (please search your physics text book or other sources for the correct formula for this situation, you lab manual does not necessarily have the formula.)

can someone do part B for me please

A 3 kilogram solid sphere with a radius of 15 centimeters rolls without slipping down a rough incline with a 35 degree angle. If the sphere rolls from rest from a height of 45 centimeters, determine the sphere's translational speed at the bottom of the incline. Also, draw the free body diagram. Also see the attached picture that goes with the problem. Thank you.

Use the worked example above to help you solve this problem. A merry-go-round modeled as a disk of mass M = 8.50 x 10¹ kg and radius R = 2.30 m is rotating in a horizontal plane about a frictionless vertical axle (see figure). (a) After a student with mass m = 80.0 kg jumps onto the merry-go-round, the system's angular speed decreases to 2.10 rad/s. If the student walks slowly from the edge toward the center, find the angular speed of the system when she reaches a point 0.490 m from the center. Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. rad/s (b) Find the change in the system's rotational kinetic energy caused by her movement to the center. X Your response differs from the correct answer by more than 10%. Double check your calculations. J (c) Find the work done on the student as she or= 0.490 m.

The class I'm taking is physics for scientists and engineers! Need help. I have attached the problem.  Thank you so much!

The class I'm taking is physics for scientists and engineers! I am completely stuck. Need help. I have attached the problem. Please view both attachments before answering. I need help with parts A, B, and C. If you can please explain your answer so I can fully understand. Thank you so much!

MII-1 Consider a solid disk of mass M and radius R, which has a uniform density. a) The disk is rotated about an axis that goes through its center and is perpendicular to its face, as shown in the diagram below on the left. Find a formula for its moment of inertia. Your answer should be a symbolic expression that only depends on the variables M and R. Hint: you will need to divide the disk into infinitesimal mass elements (dm) and then perform the integral: r?dm b) Suppose the radius of the disk is 12.5 cm and the mass is 1.75 kg. Use the formula from part a) to calculate a numerical value for the moment of inertia, in kg m2. c) Now the axis of rotation is moved from the center of the disk to the end of the disk, as shown in the diagram below on the right. Find an expression for its moment of inertia. Hint: theorem. As before, your answer should only depend on the variables M and R. d) Suppose the radius of the disk is 12.5 cm and the mass is 1.75 kg. Use the formula from part c) to…