Question

In: Physics

A thin uniform disk of radius r and mass m is spinning about its center at...

A thin uniform disk of radius r and mass m is spinning about its center at angular speed ω0. The disk is placed flat on a horizontal surface. The coefficient of kinetic friction between the disk and the surface is μ and constant for the entire area of contact. a) Find the frictional torque on the disk. (Hint: Divide the disk into many concentric rings.) b) How long will it take the disk to come to rest?

Solutions

Expert Solution


Related Solutions

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
A uniform disk of mass M and radius R is initially rotating freely about its central...
A uniform disk of mass M and radius R is initially rotating freely about its central axis with an angular speed of w, and a piece of clay of mass m is thrown toward the rim of the disk with a velocity v, tangent to the rim of the disk as shown. The clay sticks to the rim of the disk, and the disk stops rotating. What is the magnitude of the total angular momentum of the clay-disk system before...
A uniform disk with mass 8.5 kg and radius 8 m is pivoted at its center...
A uniform disk with mass 8.5 kg and radius 8 m is pivoted at its center about a horizontal, frictionless axle that is stationary. The disk is initially at rest, and then a constant force 31.5N is applied to the rim of the disk. The force direction makes an angle of 35 degrees with the tangent to the rim. What is the magnitude v of the tangential velocity of a point on the rim of the disk after the disk...
A certain wheel is a uniform disk of radius R = 0.5 m and mass M...
A certain wheel is a uniform disk of radius R = 0.5 m and mass M = 10.0 kg. A constant force of Fapp = 15.0 N is applied to the center of mass of the wheel in the positive x-direction. The wheel rolls along the ground without slipping. (a) Compute the rotational inertia of the wheel about its center of mass. (b) Compute the magnitude and direction of the friction force acting on the wheel from the ground. (c)...
2. A thin disk of radius R and uniform surface charge density sigma rotates about its...
2. A thin disk of radius R and uniform surface charge density sigma rotates about its axis of symmetry with angular velocity omega = omega zhat. (a) What is the current density K(s) where s is the distance from the center? (b) Find B at the center of the disk (z=0, s=0) using Bio-Savart's law. (It's a simple integral). (c) What is the magnetic dipole moment of the disk?
A uniform disk with mass m = 9.07 kg and radius R = 1.36 m lies...
A uniform disk with mass m = 9.07 kg and radius R = 1.36 m lies in the x-y plane and centered at the origin. Three forces act in the +y-direction on the disk: 1) a force 313 N at the edge of the disk on the +x-axis, 2) a force 313 N at the edge of the disk on the –y-axis, and 3) a force 313 N acts at the edge of the disk at an angle θ =...
A uniform disk with mass m = 9.28 kg and radius R = 1.42 m lies...
A uniform disk with mass m = 9.28 kg and radius R = 1.42 m lies in the x-y plane and centered at the origin. Three forces act in the +y-direction on the disk: 1) a force 345 N at the edge of the disk on the +x-axis, 2) a force 345 N at the edge of the disk on the –y-axis, and 3) a force 345 N acts at the edge of the disk at an angle θ =...
A uniform disk with mass m = 9.44 kg and radius R = 1.32 m lies...
A uniform disk with mass m = 9.44 kg and radius R = 1.32 m lies in the x-y plane and centered at the origin. Three forces act in the +y-direction on the disk: 1) a force 318 N at the edge of the disk on the +x-axis, 2) a force 318 N at the edge of the disk on the –y-axis, and 3) a force 318 N acts at the edge of the disk at an angle θ =...
A uniform disk of mass M is rotating freely about its center On its rim lie...
A uniform disk of mass M is rotating freely about its center On its rim lie a cockroach of mass M/3 Initially the cockroach and disk rotate together with an angular velocity of 2.5 rad/s Then the cockroach walks halfway to the center of the disk. What is the new angular velocity of the system?
The moment of inertia of a thin ring of mass M and radius R about its...
The moment of inertia of a thin ring of mass M and radius R about its symmetry axis is ICM = MR2 Kira is working the ring-toss booth at a local carnival. While waiting for customers, Kira occupies her time by twirling one of the plastic rings of mass M and radius R about her finger. Model the motion of the plastic ring as a thin ring rotating about a point on its circumference. What is the moment of inertia of...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT