In procedure C, how do the applied force affects the net torque and kinetic energy of the rotating object? Explain your answer.

A solid cylinder with mass m, radius R, and rotational inertia I (about its center) is released from rest and rolls down a ramp.  Friction between the bottom of the cylinder and the ramp causes the cylinder to roll without slipping.  The linear acceleration of the cylinder is a.  Which TWO of the equations below are correct for this scenario? The equations are in terms of m, I, R, and a, as well as f (the force of static friction between the cylinder and the ramp) and g.  (You must pick BOTH of them to get this question correct!) f = ma mg sin θ = ma mg sin θ - f = ma f R = I (a/R) mg sin θ - f = I (a/R) R mg sin θ = IaR

The uniform solid block in the figure has mass 38.6 kg and edge lengths a = 0.543 m, b = 1.75 m, and c = 0.118 m. Calculate its rotational inertia about an axis through one corner and perpendicular to the large faces. Rotation axis Number i Units

A long, thin uniform rod of length 1.29m and mass 2.08kg is pivoted about a horizontal, frictionless pin passing through one end. The rod is released from one end in the vertical position. L y Pivot x At the instant the rod is horizontal, find its angular speed. Submit Answer Tries 0/10 At the instant the rod is horizontal, what is its angluar acceleration? Submit Answer Tries 0/10 At the instant the rod is horizontal, what is the magnitude of its x-component of acceleration at its centre of mass? Submit Answer Tries 0/10 At the instant the rod is horizontal, what is the magnitude of its Y-component of acceleration at its centre of mass? Submit Answer Tries 0/10

A uniform hoop of radius R and mass m rotates freely (without friction) about a perpendicular axis through its rim, as shown. It is released from a position, labeled "Initial", with the hoop's center directly above with the axis. It swings past position "A" where the center is level with the axis and continues swinging through "B" where the center is below the axis. What are the angular accelerations at positions A and B?

A uniform horizontal disk of radius 5.50 m turns without friction at w = 2.30 rev/s on a vertical axis through its center, as in the figure below. A feedback mechanism senses the angular speed of the disk, and a drive motor at A ensures that the angular speed remain constant while a m = 1.20 kg block on top of the disk slides outward in a radial slot. The block starts at the center of the disk at time t = 0 and moves outward with constant speed v = 1.25 cm/s relative to the disk until it reaches the edge at t = 465 s. The sliding block experiences no friction. Its motion is constrained to have constant radial speed by a brake at B, producing tension in a light string tied to the block. (a) Find the torque as a function of time that the drive motor must provide while the block is sliding. Hint: The torque is given by = 2mrvw. t N-m (b) Find the value of this torque at t= 465 s, just before the sliding block finishes its motion. N.m 2.52 (c) Find the power which the drive motor must…

In this problem you will be given the mass and description of various objects and will determine their moments of inertia I. All results are of the form X * M R2. You will find the numerical value of X.What is the moment of inertia for a ring with mass 2 M and an axis of rotation through the center of the ring (perpendicular to the plane of the ring) with radius 2 R. M R2   Tries 0/3   What is the moment of inertia for a disk with mass 3 M and an axis of rotation through the center of the disk with radius 2 R. M R2   Tries 0/3   What is the moment of inertia for a hollow sphere with mass 1 M and an axis of rotation through the center of the sphere with radius 3 R. M R2   Tries 0/3   What is the moment of inertia for a solid sphere with mass 4 M and an axis of rotation through the center of the sphere with radius 3 R. M R2