A disk of masS m =1 kg and radlus r= 20 cm is rotating in counterdockwise direction with a constant angular speed of w = 20 rad/s around a vertical axis that passes through Its center as shown In the figure. To slow it down a constant torque is applied and after two full revolution the disk comes to stop. Find the magnitude and direction of the torque applied? (Lk =mr). %3D

A disc with a radius of 0.53 m is fixed to rotate about its center. Three forces act on the object as noted below. What magnitude net torque acts on the object? F1 = 14.7 N tangentially applied to the outer edge. F2 = 11.1 N tangentially applied to the outer edge. F3 = 11.5 N tangentially applied at a distance 0 m above the axis of rotation at an angle theta = 34.3 degrees with respect to the vertical.   The location of F3 is at the center of the circle (a distance of 0 from the axis)

A bar on a hinge starts from rest and rotates with an angular acceleration a = 15 + 7t, where a is in rad/s? and t is in seconds. Determine the angle in radians through which the bar turns in the first 3.93 s. rad

Two disks are free to rotate about an axis through their center. The inner disk has a radius a = 20 cm and a 60 N force is applied tangent to the rim as shown. The outer disk has radius b = 40 cm and a force of magnitude F is applied tangent to its rim. What value of F is required to give zero net torque about the center?

What is the net torque on the beam shown in the figure about an axis through C perpendicular to the page?

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A solid cylindrical disk has a radius of 0.12 m. It is mounted to an axle that is perpendicular to the circular end of the disk at its center. When a 40-N force is applied tangentially to the disk, perpendicular to the radius, the disk acquires an angular acceleration of 100 rad/s2. What is the mass of the disk?  kg

The wheel and axle have forces applies tangentially as shown in the figure. There is also a frictional torque of 0.02 Nxm on the wheel, once the wheel starts moving. The radius of the axel is 20 cm and the radius of the wheelis 60 cm and F1 = 2.4 N, F2 = 3.0 N and F3 = 1.2 N. a. Calculate the net torque on the moving wheel due to the applied forces F1 F2 and F3. b. What direction of rotation would the applied forces cause? Explain. c. What is the direction of frictional torque? Explain. d. Calculate the net torque on the wheel and axle.

A wheel with thin spokes can be considered a hoop, where I=mr. A bicycle wheel has a mass of .35 kg with a radius of .30 m and is spinning at 25 rad/s in the positive direction. Brakes apply a force of friction of 15 N at the rim. We will consider the rim of the wheel to be on the very outside of the wheel. (Remember significant digits.) a.) What is the direction of the torque provided by the brakes (positive or negative) b.) What is the magnitude of the torque applied by the brakes? Nm c.) What is the moment of angular inertia of the wheel? kgm2 d.) What is the angular acceleration of the wheel? rad/s? e.) How far does the wheel travel (in radians) before coming to rest? rad f.) How long does this take? s g.) With faulty brakes, only 8 N can be applied. How long would it take to stop the wheel under these conditions? s MacBook Pro