The disk of mass m =2 kg and radius r =0.5 m, has a moment of inertia ī =4 kg.m2 about its center of mass C. The disk is released from rest at position A and rolls without slipping down the circular path in the vertical plane. If R =2.3 m, determine the angular velocity of the disk at position B. Give your answer in rad/s. m,Ī A C В 3
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- A cylinder of radius 2.59 cm and a sphere of radius 8.72 cm are rolling without slipping along the same floor. The two objects have the same mass. If they are to have the same total kinetic energy, what should the ratio of the cylinder's angular speed ?cyl to the sphere's angular speed ?sph be?page A golfers clubs' linear tangential velocity at contact with the ball on the tee was recorded as 35.6 m/s. Given the distance from the club head to the golfers centre of rotation as 1.35 m calculate the angular velocity (radians/s) of rotation at the point of contact to 2 decimal places. Answer: ere to search B R Bi 5 T 6 B H 9 Pa O Finish attempt P 6°C Light raAn 8.00-cm-diameter, 370 gg solid sphere is released from rest at the top of a 1.50-m-long, 20.0 ∘∘ incline. It rolls, without slipping, to the bottom. What is the sphere's angular velocity at the bottom of the incline? Express your answer with the appropriate units. What fraction of its kinetic energy is rotational?
- A 2.00-cm radius disk has an angular acceleration ofThe rectangular block shown rotates about the diagonal OA with a constant angular velocity of 5.8 rad/s. Knowing that the rotation is counterclockwise as viewed from A, determine the velocity and acceleration of point B at the instant shown. 5 in. 12 in. 15.6 in. 15.6 in. The velocity of corner Bis -( 32.123 in./s)i + ( 10.295 in./s)j - ( 13.38 in./s)k. The acceleration of corner Bis -(186.3134| in./s²)i – (| 31.0764 in. in./s²)j + o in./s2)k.Two tangential forces F1 = 25 N and F2 = 10 N are applied to the rim of a solid cylinder of radius R = 0.2 m. The cylinder starts to rotate from rest, and reaches angular speed of 50 rpm in 5 seconds. Find the mass of the cylinder.
- Refer to the question below.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?Peg P is driven by the fork link OA along the curved path described by r 2.8.8 ft. At the instant = 1.3 rad, the angular velocity of the link is = 1.4 rad/s and the angular acceleration is 0=0.66 rad/s². For peg P at this instant, please find: radial acceleration a, a -10.55 transverse acceleration ag= magnitude of total acceleration a= m m m 5²
- A solid 0.6150 kg ball rolls without slipping down a track toward a vertical loop of radius ?=0.7350 m. What minimum translational speed ?minvmin must the ball have when it is a height H=1.111 m above the bottom of the loop in order to complete the loop without falling off the track? Assume that the radius of the ball itself is much smaller than the loop radius ?R. Use g=9.810 m/s^2 for the acceleration due to gravity.The 200-mm-radius brake drum is attached to a larger flywheel. The total mass moment of inertia of the flywheel and drum is 9 kg.m? and the coefficient of kinetic friction between the drum and the brake shoe is 0.35. Knowing that the initial angular velocity of the flywheel is 360 rpm clockwise, determine the vertical force P that must be applied to the pedal C if the system is to stop in 100 revolutions. 150 mm A 250 mm 200 mm 375 mmW L A rod of length L = 35.0 cm rotates about its end through O with a constant angular acceleration a = 2.23 rad/s², as shown in the figure. At t= 0, the initial tangential speed of a point P on the rod is to 14.4 m/s. Find the final tangential speed v of the point P at t = 5 s. O 21.96 O 18.30 O 27.45 O 15.25 12.20