A thick cylinder of inner radius 10 cm and outer radius 50 cm rolls at 4 m/s without slipping. If the cylinder has a mass of 10 kg, what is its rotational kinetic energy? a. 0 J b. 80 J c. 121.6 J d. 41.6 J
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- 7. You are asked to design a turntable that is 55.8 cm in diameter that has a kinetic energy of 0.250 J when it is turning at 45.0 rev/min. a. What must its moment of inertia be? b. If you make the turntable in the shape of a uniform solid disk, what mass would it have?T m A 25.0 kg mass is hung from a rope that is passed over a pulley and held by a man standing on a ramp. The pulley can be treated as a solid disk with a mass of 10.0 kg that has a radius of 0.400 m. The man pulls the rope so that the pulley rotates from rest through an angular displacement of 15.0 rad in 2.00s. A. What is the angular acceleration of the disk? B. What is the tension of the rope as it pulls up on the box? C. What is the force applied by the man on the rope as he pulls the box upward?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 option
- If a car tire with a moment of inertia of 4 kg*m² has an initial angular speed of 8 rad/s and then it experiences a net-work of 50 J, what is the final angular speed? O 12.28 rad/sec O9.43 rad/sec O 0.56 rad/sec O 6.24 rad/secA disk of radius R, mass M, and moment of inertia I = (1/2)MR- rolls without slipping down an incline and onto a horizontal table. The disk then continues to the right and goes up a frictionless ramp. The disk starts at rest at a height h above the table, as shown . What is the speed of the center of mass of the disk when it reaches the bottom of the ramp? O A. V1/2gh OB. V5/3gh OC. 4/3 gh OD. 6/7gh O E. None of the aboveSuppose a disk with constant angular velocity has rotational kinetic energy 1280 J. If the moment of inertia of the disk is 35 kg-m?, then what is its angular velocity? 8.552 rad/s 9.066 rad/s С. 7.303 rad/s 10.07 rad/s 10.40 rad/s А. D. В. E. 10.14 rad/s F.
- Baby Huey rolls a hollow sphere of mass M and radius R up a hillside, giving it an initial kinetic energy of Ki. It rolls over the top of the hill of height h and keeps going. The ball rolls without slipping the whole way, but it loses Wnc due to non-conservative forces between the foot of the hill and the top. a. If M = 6.82 kg and R = 10.9 cm, find its rotational inertia. b. Find the translational velocity at the top of the hill.A 5kg sphere with a radius of 10 cm is spinning at an angular of 15rads/s. What is the rotational kinetic energy (in j) of the solid sphere? The final answer in 2 decimal placesA 100 g disk with a diameter of 10 cm rotates about an axis through its center of mass with 0.2 J of rotational kinetic energy. What is the speed of a point on the rim of the disk?