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- A torque of 35.6 N · m is applied to an initially motionless wheel which rotates around a fixed axis. This torque is the result of a directed force combined with a friction force. As a result of the applied torque the angular speed of the wheel increases from 0 to 9.9 rad/s. After 5.80 s the directed force is removed, and the wheel comes to rest 59.8 s later.Two girls (26 kg each) are standing on the edge of a solid, rotating disk of mass 70 kg and radius 1.3m. The initial angular speed of the disk is 0.71 rev/s. If one of the girls moves slowly toward the center while the other stays put at the edge, what is the new angular speed of the disk when she reaches the halfway point?Two masses m1 3.2 kg and m2 1.6 kg hang from a pulley as shown in the figure. The moment of inertia through the axis of rotation passing through the center of the pulley is I = 2 kg m². The ropes holding the masses are attached to opposite sides of the pulley at a radius R = 0.5 m from the center of the pulley. R T1 T2 mị m2 Find the magnitude of the angular acceleration a of the pulley system. Pick the correct answer 4.9 rad/s? ,2 7.4 rad/s? 2.5 rad/s? -7.4 rad/s? 9.8 rad/s? 15
- A solid uniform sphere of mass 116 kg and radius 1.70 m starts from rest and rolls without slipping down an inclined plane of vertical height 5.97 m. What is the angular speed of the sphere at the bottom of the inclined plane? Give your answer in rad/s.A thin rod has a length of 0.537 m and rotates in a circle on a frictionless tabletop. The axis is perpendicular to the length of the rod at one of its ends. The rod has an angular velocity of 0.778 rad/s and a moment of inertia of 1.10 x 10³ kg-m². A bug standing on the axis decides to crawl out to the other end of the rod. When the bug (whose mass is 5 x 10-3 kg) gets where it's going, what is the change in the angular velocity of the rod?A motorcyclist is traveling along a road and accelerates for 6.94 s to pass another cyclist. The angular acceleration of each wheel is +8.39 rad/s2, and, just after passing, the angular velocity of each is +80.6 rad/s, where the plus signs indicate counterclockwise directions. What is the angular displacement of each wheel during this time?
- A machine part has the shape of a solid uniform sphere of mass 255 g and diameter 4.50 cm . It is spinning about a frictionless axle through its center, but at one point on its equator it is scraping against metal, resulting in a friction force of 0.0200 N at that point. Find its angular acceleration. Let the direction the sphere is spinning be the positive sense of rotation. How long will it take to decrease its rotational speed by 20.0 rad/s ?A cylinder 32.6 cm in diameter is at rest initially. It is then given an angular acceleration of 14.5 rad/s^2. Find the tangential speed of the outer edge of the cylinder at 6.08 s. Give your answer in m/s.Chapter 10, Problem 057 GO A pulley, with a rotational inertia of 7.7 x 104 kg-m2 about its axle and a radius of 12 cm, is acted on by a force applied tangentiallý at its rim. The force magnitude varies in time as F = 0.80t + 0.30t, with F in newtons and t in seconds. The pulley is initially at rest. At t = 3.8 s what are (a) its angular acceleration and (b) its angular speed? (a) Number Units (b) Number Units Click if you would like to Show Work for this question: Open Show Work
- A circular disk with a radius of 0.45 m is subject to 2 tangentially applied forces. The disc is fixed such that it will rotate about its center. Both forces produce a torque in the same direction. The mass of the disc is 0.59 kg. The moment of inertia of a disc is I MR? F1 = 2.3 N applied at the outer edge of the disc. %D F2 = 4.3 N applied at a distance of 0.21 from the center of the disc. What is the angular acceleration of the disc?A wheel that is initially at rest is mounted on an axle that is not frictionless. When a constant external torque of 50.0 N-m is applied to the wheel for 25.0 s the wheel angularly accelerates to an angular speed of 750 rpm. The external torque is removed and the wheel comes to rest after 120 s due to the friction at the axle. Write down N2L for each situation. What is (a) the moment of inertia of the wheel and (b) the magnitude of the frictional torque on the wheel at the axle (which is assumed to be constant)? (c) Include a complete diagram of each situation.A motorcyclist is traveling along a road and accelerates for 4.11 s to pass another cyclist. The angular acceleration of each wheel is +7.42 rad/s2, and, just after passing, the angular velocity of each is +76.5 rad/s, where the plus signs indicate counterclockwise directions. What is the angular displacement of each wheel during this time?