A uniform sphere is placed inside hemispherical bowl of radius R = 75.0 cm. It is released from rest at an angle 0 = 40.0°. What is the speed of the sphere at the bottom of the bowl if it rolls without slipping? Ishpere = 2/5 mr². Assume r<

playground merry-go-round of radius R=2.00m has a moment of inertia? = 250??. ?2 and is rotating at 10.0 ???/??? about a frictionless vertical axle. Facing the axle, a 25.0-kg child hops onto the merry-go-round from the ground and manages to sit down on its edge. What is the new angular speed of the merry-go-round?

A solid 0.6350 kg ball rolls without slipping down a track toward a vertical loop of radius ?=0.6350 m. What minimum translational speed ?min must the ball have when it is a height ?=0.9944 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 ?. Use ?=9.810 m/s^2 for the acceleration due to gravity.

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?

A ball of radius Ris rolling across a rough surface without slipping. What is the relationship between the angular speed w and the translational speed v? Image size: Select the correct answer Ου-R/ω Ου- 1/ω O v= w Ου-ω/R O V = Rw

A large wind turbine (typical of the size and specifications of a turbine that you see in a modern wind farm) has three blades connected to a central hub. The blades are 50 m long and rotate at 10 rpm. What angular speed ω does this correspond to? What is the speed ν of the tip of a blade? What is the speed of a point 25 m from the hub?

A small disk (r = 1.83 mm) is attached to a high-speed dentist's drill. The disk is turning at 24646 rad/s. Determine the tangential speed of a point on the outer edge of the disk.

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.

Plz help.

A disk, a hoop, and a solid sphere are released at the same time at the top of an inclined plane. They are all uniform and roll without slipping. In what order do they reach the bottom? sphere, hoop, disk O disk, hoop, sphere O sphere, disk, hoop O hoop, sphere, disk O hoop, disk, sphere