A 2643 kg solid sphere with a radius of 3.8 m rolls without slipping down an incline of e = 38°. If the sphere makes 4 full revolutions in 6.8 seconds. 1. The rotational inertia of the sphere is kg.m2 2. The frictional force between the incline and the sphere is 3. The angular velocity at point C on the sphere is rad/s 4. The speed of the center of mass of the Sphere is m/s 5. The distance S after 4 full revolutions is m Vcom
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- 3 1. A uniform solid sphere rolls without slipping down a 28° inclined plane. What is the acceleration of the sphere's center of mass? The moment of inertia of a uniform solid sphere about an axis that passes through its center = mr². The moment of inertia of a uniform solid sphere about an axis that is tangent to its surface = 7/5mr². m/s² E D C 4 22 R F % 5 V T G tv B MacBook Air 22 Y H 7 5 N 00 8 ZA 3 ( 9 K MOSISO O O V P command DUI 04 M option6. A uniform disk turns at 3.3 rev/s around a frictionless central axis. A nonrotating rod is dropped onto the disk. The rod has the same mass as the disk and length equal to the diameter of the disk. The two objects then turn together at the same rate with the centers lined up vertically. What is the new angular velocity (in rad/s) and new angular frequency (in rev/s)?In a downtown office building, you notice each of the four sections of a rotating door has a mass of 90 kg. What is the width, in meters, of each section of the door if a force of 62 N applied to the outer edge of a section produces an angular acceleration of 0.490 rad/s²? 3 WO W
- 7. A flywheel (I = 50 kgm² ) starting from rest acquires an angular velocity of 220.0 rad/s while subject to a constant torque from a motor for 5 s. a. What is the angular acceleration of the flywheel? b. What is the magnitude of the torque?A horizontal, uniform, 8.00-kg, stationary, solid disk with a radius of 80.0 cm is pivoted at its center such that the plane of the disk is parallel to level ground. A boy applies a tangential force of 40.0 N on the disk by pulling on a rope that is inserted in a side groove of the disk. Through what total angle will the disk rotate in 5.00 s? a. 124 rad b. 156 rad c. 108 rad d. 140 rad e. 92.0 radA tire is being tested and the machine has it rotating with an angular speed of 0.691 rad/ (CW). An angular acceleration is applied to the tire and after a period of 4.30 s, an angle of 12.7 rad (CW) has been turned through. What is the angular acceleration applied? Select one: a. b. O C. O d. 1.69 rad/2 (CCW) 1.05 rad/52 (CW) 1.69 rad/2 (CW) 1.05 rad/2 (CCW)
- A 1702 kg solid sphere with a radius of 2.6 m rolls without slipping down an incline of 0 = 41°. If the sphere makes 6 full revolutions in 8.4 seconds. 1. The rotational inertia of the sphere is kg.m2 2. The frictional force between the incline and the sphere is 3. The angular velocity at point C on the sphere is rad/s 4. The speed of the center of mass of the Sphere is m/s 5. The distance S after 6 full revolutions is mA flywheel (I 49 kg m' 21 starting from rest acquires an angular velocity of 233 rad/s while subject to a constant torque from a motor for 5 s. a. What is the angular acceleration of the flywheel? rad/s? b. What is the magnitude of the torque? N m Question Help: Message instructor Submit QuestionA circular disk with a radius of 0.38 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. F1 = 3.6 N applied at the outer edge of the disc. F2 = 4.3 N applied at a distance of 0.28 from the center of the disc. What is the net torque on the disc?