If a disk and a ring both have the same mass and radius, which one has...

If a disk and a ring both have the same mass and radius, which one has the greater moment of inertia? Why is this so?
A figure skater doing pirouettes spins faster when she tucks her arms close to her chest and spins slower when she spreads out her arms. Explain this in terms of moment of inertia and Newton’s Second Law for rotational motion.

Expert Solution

genius_generous answered 1 year ago

A coin and a ring have the same mass and radius. Starting from rest and the...

A coin and a ring have the same mass and radius. Starting from rest and the same height, they roll down the same incline. In other words, they both start with the same gravitational potential energy. Which one of the following statements is true about the coin and ring when they reach the bottom of the incline? A. The increase in the coin's total kinetic energy is less than the increase in the ring's total kinetic energy. B. The increase...

A disk of radius 14 cm and has a mass of 10 kg is attached to...

A disk of radius 14 cm and has a mass of 10 kg is attached to a hub which is a disk of mass 8 kg and radius 5cm. The disks are mounted on a frictionless axel that runs through the center. A rope passes over the hub and supports a 10 kg mass on one side and a 5 kg mass on the other. If the rope does not slip on the hub, a.) What is the tension in...

Two wheels have the same mass and radius of 4.9 kg and 0.41 m, respectively. One...

Two wheels have the same mass and radius of 4.9 kg and 0.41 m, respectively. One has (a) the shape of a hoop and the other (b) the shape of a solid disk. The wheels start from rest and have a constant angular acceleration with respect to a rotational axis that is perpendicular to the plane of the wheel at its center. Each turns through an angle of 13 rad in 9.5 s. Find the net external torque that acts...

A disk of mass 2.5 kg and radius 70 cm with a small mass of 0.09...

A disk of mass 2.5 kg and radius 70 cm with a small mass of 0.09 kg attached at the edge is rotating at 1.8 rev/s. The small mass suddenly flies off of the disk. What is the disk's final rotation rate (in rev/s)?

A disk of radius a and mass m is suspended at its centre by a vertical...

A disk of radius a and mass m is suspended at its centre by a vertical torsion wire which exerts a couple -cθ on the disk when it is twisted through an angle θ from its equilibrium position. Show that oscillations of the disk are simple harmonic, and obtain an expression for the period. A wire ring of mass m and radius a/2 is dropped concentrically onto the disk and sticks to it. Calculate the changes to (a) the period...

A space station is approximately a ring of radius,R, and mass m, which rotates about its...

A space station is approximately a ring of radius,R, and mass m, which rotates about its symmetry axis with angular velocity,~ω=ω0ˆe3. A meteor is traveling with momentum,~p, that is parallel to the original ˆe3, and strikes the space station at a point on the rim,transferring the entire momentum to the space station (an inelastic collision where the meteor sticks to the space station). Further, though the meteor has significant momentum,it is of very small mass so that the moment of...

A hoop, a solid disk, and a solid sphere, all with the same mass and the same radius, are set rolling without slipping up an incline, all with the same initial kinetic energy.

A hoop, a solid disk, and a solid sphere, all with the same mass and the same radius, are set rolling without slipping up an incline, all with the same initial kinetic energy. Which goes furthest up the incline? The hoop The disk The sphere They all roll to the same height Briefly explain your answer to the previous question. The same three objects as in the previous question are set rolling without slipping up an incline, all with the same initial linear speed. Which goes farthest...

Consider a thin uniform disk of mass M and radius R. A mass m is located...

Consider a thin uniform disk of mass M and radius R. A mass m is located along the axis of the disk at a distance z from the center of the disk. The gravitational force on the mass m (in terms of m, M, R, G, and z) is

Consider two wires made of the same material: 1) If both wires have the same radius,...

Consider two wires made of the same material: 1) If both wires have the same radius, but wire 1 is half the length of wire 2, what is the resistance of wire 1 in terms of wire 2? 2) If both wires have the same length, but wire 1 has three times the radius of wire 2, what is the resistance of wire 1 in terms of wire 2?

A flywheel comprises a uniform circular disk with a mass of 97.0 kg and a radius...

A flywheel comprises a uniform circular disk with a mass of 97.0 kg and a radius of 1.1 m. It rotates with an angular velocity of 1420 rev/min. A constant tangential force is applied at a radial distance of 0.5 m. What is the initial kinetic energy of the wheel? (b) If the wheel is brought to rest in 133.0 s, what is the tangential force?

Question