10.20 A string is wrapped Figure E10.20 several times around the rim of a small hoop with radius 8.00 cm and mass 0.180 kg. The free end of the string is held in place and the hoop is released from rest (Fig. E10.20). After the hoop has descended 75.0 cm, calculate (a) the angular speed of the rotating hoop and (b) the speed of its center. 0.0800 m

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?

10.20 A string is wrapped Figure E10.20 several times around the rim of a small hoop with radius 8.00 cm and mass 0.180 kg. The free end of the string is held in place and the hoop is released from rest (Fig. E10.20). After the hoop has descended 75.0 cm, calculate (a) the angular speed of the rotating hoop and (b) the speed of its center. 0 0.0800 m

A hollow sphere with a radius R and a mass M (note that I = (2/3)MR^2 for a hollow sphere) rolls down an incline with an angle θ. Its acceleration down the ramp is given by: A. 5/3gsinθ B. gsinθ  C. 3/5gsinθ D. 1/2gsinθ A solid uniform disk with a radius R and a mass M (note that I = (1/2)MR^2 for a solid disk) rolls down an incline with an angle θ. Its acceleration down the ramp is given by: ⃝ A. 5/3gsinθ ⃝ B. gsinθ  ⃝ C. 2/3gsinθ  ⃝ D. 1/2gsinθ

A disk of radius 0.5 m is rotating with constant angular acceleration around an axis passing through its center as shown in the figure. It starts rotation at r = 0 with an angular velocity of 10 rad/s/ After making 30 revolutions, its angular velocity becomes 100 rad/s. Find the tangential acceleration (in m/s) of a point P on the rim of the disk P R

A 2.25 kg solid, uniform disk rolls without slipping across a level surface, translating at 4.00 m/s. If the disk's radius is 0.500 m, find the following. HINT (a) the disk's translational kinetic energy (in J) (b) the disk's rotational kinetic energy (in J)