A solid sphere (I = 2/5 MR2) of mass 0.44 kg and radius 0.022 m rolls,...
A thin hoop (I = MR2) of mass 0.33 kg and radius 0.088 m rolls, without slipping, down an incline of height 0.75 m. At the bottom of the hill, what percentage of its total kinetic energy is rotational kinetic energy?
A solid, homogeneous sphere with of mass of M = 2.95 kg and a radius of R = 18.1 cm is resting at the top of an incline as shown in the figure. The height of the incline is h = 1.71 m, and the angle of the incline is θ = 17.5°. The sphere is rolled over the edge very slowly. Then it rolls down to the bottom of the incline without slipping. What is the final speed of...
A solid sphere of mass 1.5 kg and radius 15 cm rolls without slipping down a 35° incline that is 7.9 m long. Assume it started from rest. The moment of inertia of a sphere is given by I = 2/5MR2. (a) Calculate the linear speed of the sphere when it reaches the bottom of the incline. (b) Determine the angular speed of the sphere at the bottom of the incline.
A solid, uniform sphere of mass 2.0 kg and radius 1.7 m rolls without slipping down an inclined plane of height 2.9 m. What is the angular velocity of the sphere at the bottom of the inclined plane?
A uniform, solid sphere of radius 5 cm and mass 4.75 kg starts with a purely translational speed of 3.75 m/s at the top of an inclined plane. The surface of the incline is 1m long, and is tilted at an angle of 22 degrees with respect to the horizontal. Assuming the sphere rolls without slipping down the incline, calculate the sphere's final translational speed at the bottom of the ramp.
A solid cylinder of radius R and mass m, and moment of inertia mR2/2, starts from rest and rolls down a hill without slipping. At the bottom of the hill, the speed of the center of mass is 4.7 m/sec. A hollow cylinder (moment of inertia mR2) with the same mass and same radius also rolls down the same hill starting from rest. What is the speed of the center of mass of the hollow cylinder at the bottom of...
A uniform, solid sphere of radius 5.00 cm and mass 4.75 kg starts with a purely translational speed of 1.75 m/s at the top of an inclined plane. The surface of the incline is 1.50 m long, and is tilted at an angle of 26.0∘ with respect to the horizontal. Assuming the sphere rolls without slipping down the incline, calculate the sphere's final translational speed ?2 at the bottom of the ramp. ?2=
A uniform, solid sphere of radius 4.00 cm and mass 2.25 kg starts with a purely translational speed of 2.25 m/s at the top of an inclined plane. The surface of the incline is 1.75 m long, and is tilted at an angle of 33.0∘ with respect to the horizontal. Assuming the sphere rolls without slipping down the incline, calculate the sphere's final translational speed ?2 at the bottom of the ramp.
A uniform, solid sphere of radius 4.50 cm and mass 4.50 kg starts with a purely translational speed of 4.00 m/s at the top of an inclined plane. The surface of the incline is 1.50 m long, and is tilted at an angle of 21.0∘ with respect to the horizontal. Assuming the sphere rolls without slipping down the incline, calculate the sphere's final translational speed ?2 at the bottom of the ramp.
A 4.00 kg solid sphere of radius 5.00 cm starts from rest and rolls without slipping down a 30.0 degree incline. If the length of the incline is 50.0 cm, then the velocity of the center of mass of the solid sphere at the bottom of the incline is