A non-uniform cylinder with mass M and radius R rolls without sliding across the floor. If it's mass was 2 kg and its radius 32 cm, and it was rolling at an angular speed of 13 rad/sec, how far up a hill can the cylinder roll without slipping?
A non-uniform cylinder with mass M and radius R rolls without sliding across the floor. If...
A non-uniform density cylinder has a radius R=6m. The rotational inertia of this cylinder can be taken to be I=βMR2, where β is unknown and M is the mass of the cylinder. The cylinder is initially rotating with angular velocity ω0= 1.00rad/s, and is placed on a rough horizontal surface. The speed of the center of mass (CM) of the cylinder, as it is placed on the surface, is 0. The cylinder at first rolls and slips. Just as it...
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 solid uniform cylinder of mass 4.1 kg and radius 0.057 m rolls without slipping at a speed of 0.79 m/s. What is the cylinder’s total kinetic energy?
If a solid sphere with mass 12 kg and radius 0.1 m rolls without slipping with a constant angular speed of 50 rad/s: (SHOW WORK). How far does it go up an incline of 42° if it continues to not slip? How far does it go up the same incline if instead it starts slipping? (i.e no friction between the ball and the incline)
Problem -2 A hollow ball of radius 0.5 m and mass 4.5 kg is rolling without slipping on a level surface at a constant speed of 4.0 m/s. The ball rolls up a 40- ramp and eventually stops before rolling back down. (the moment of inertia of a hollow ball of mass M and radius RisMR2) Find: (a) the angular (rotational) speed of the ball (in rad/sec) just before it begins to move up the ramp: (b) the rotational kinetic...
Problem #2 A hollow ball of radius 0.5 m and mass 4.5 kg is rolling without slipping on a level surface at a constant speed of 4.0 m/s. The ball rolls up a 40° ramp and eventually stops before rolling back down. (the moment of inertia of a hollow ball of mass M and radius R is MR2) Find: (a) the angular (rotational) speed of the ball (in rad/sec) just before it begins to move up the ramp; (b) the...
P11.15.1 A solid uniform cylinder of mass 4.2 kg and radius 0.058 m rolls without (7.00) slipping at a speed of 0.72 m/s. What is the cylinder's total kinetic energy? (0/5 submissions used) J Save P11.15.1 Submit P11.15.1
A solid cylinder of radius 10 cm and mass 13 kg starts from rest and rolls without slipping a distance of 6.0 m down a house roof that is inclined at 30°. (See the figure.) What is the angular speed of the cylinder about its center as it leaves the house roof? The outside wall of the house is 5 m high. How far from the edge of the roof does the cylinder hit the level ground?
4) Figures 4A (side view) and 4B (overhead view) illustrates a uniform solid cylinder having mass M and radius R. The cylinder is positioned on a horizontal floor having sufficient friction to ensure that the cylinder can roll without slipping. The cylinder includes a mass-less yoke that is fixed to the symmetric axis of the cylinder and acts as a rolling friction-less pivot for the cylinder. An ideal spring having spring constant K is attached to the yoke at one...
Problem #1 (3+1+1+1-6 points) A thin-walled hollow cylinder is released from rest and rolls down the hill that slops downward at 500 from the horizontal without slipping. The mass of the cylinder is 3 kg and its radius is 0.5 m. hemomento mertiited linder is 1 -M Re Find: (a) the minimum value of the coefficient of static friction between the cylinder and the hill for no slipping to occur (1 point); (b) using the answer to part (a) calculate...