Question

In: Physics

A 4.50 kg solid cylinder with radius 10.0 cm is allowed to roll down a uniform...

A 4.50 kg solid cylinder with radius 10.0 cm is allowed to roll down a uniform slope that has been inclined at 22°. The cylinder is stationary at the top and the length of the incline is 5.50 meters.

1. What percentage of the total KE is rotational KE at the bottom of the ramp?

2. What is the angular acceleration of the cylinder as it rolls down the ramp?

3. Find the velocity of the cylinder at the bottom of the ramp.

4. What is the net torque applied to the rolling cylinder during its motion down the ramp?

Solutions

Expert Solution


Related Solutions

A solid, uniform cylinder with mass 8.25 kg and diameter 10.0 cm is spinning with angular...
A solid, uniform cylinder with mass 8.25 kg and diameter 10.0 cm is spinning with angular velocity 245 rpm on a thin, frictionless axle that passes along the cylinder axis. You design a simple friction-brake to stop the cylinder by pressing the brake against the outer rim with a normal force. The coefficient of kinetic friction between the brake and rim is 0.344.
A solid cylinder with a mass of 3 kg, a radius of 25 cm, and a...
A solid cylinder with a mass of 3 kg, a radius of 25 cm, and a length of 40 cm is rolling across a horizontal floor with a linear speed of 12 m/s. The cylinder then comes to a ramp, and, as it is rolling up this ramp without slipping, it is slowing down. When the cylinder finally comes to a stop and begins rolling back down the ramp, how high is it above the floor?
A uniform cylinder of radius 11 cm and mass 26 kg is mounted so as to...
A uniform cylinder of radius 11 cm and mass 26 kg is mounted so as to rotate freely about a horizontal axis that is parallel to and 8.6 cm from the central longitudinal axis of the cylinder. (a) What is the rotational inertia of the cylinder about the axis of rotation? (b) If the cylinder is released from rest with its central longitudinal axis at the same height as the axis about which the cylinder rotates, what is the angular...
A uniform cylinder of radius 11 cm and mass 24 kg is mounted so as to...
A uniform cylinder of radius 11 cm and mass 24 kg is mounted so as to rotate freely about a horizontal axis that is parallel to and 4.6 cm from the central longitudinal axis of the cylinder. (a) What is the rotational inertia of the cylinder about the axis of rotation? (b) If the cylinder is released from rest with its central longitudinal axis at the same height as the axis about which the cylinder rotates, what is the angular...
A uniform cylinder of radius 14 cm and mass 27 kg is mounted so as to...
A uniform cylinder of radius 14 cm and mass 27 kg is mounted so as to rotate freely about a horizontal axis that is parallel to and 9.3 cm from the central longitudinal axis of the cylinder. (a) What is the rotational inertia of the cylinder about the axis of rotation? (b) If the cylinder is released from rest with its central longitudinal axis at the same height as the axis about which the cylinder rotates, what is the angular...
A long, solid, insulating cylinder of radius R = 6 cm has a uniform charge density...
A long, solid, insulating cylinder of radius R = 6 cm has a uniform charge density of λ = −3 C/m. Find the electric field magnitude everywhere.
In the figure below, a solid cylinder of radius 18 cm and mass 12 kg startsfrom...
In the figure below, a solid cylinder of radius 18 cm and mass 12 kg startsfrom rest and rolls without slipping a distance L = 7.9 mdown a roof that is inclined at angle ? = 29
In the figure, a solid cylinder of radius 16 cm and mass 7.7 kg starts from...
In the figure, a solid cylinder of radius 16 cm and mass 7.7 kg starts from rest and rolls without slipping a distance L = 4.4 m down a roof that is inclined at angle θ = 32°. (a) What is the angular speed of the cylinder about its center as it leaves the roof? (b) The roof's edge is at height H = 5.3 m. How far horizontally from the roof's edge does the cylinder hit the level ground?
A solid cylindrical 10 kg roll of roofing paper with radius of 15 cm, starting from...
A solid cylindrical 10 kg roll of roofing paper with radius of 15 cm, starting from rest rolls down a roof with a 20o incline (Figure below). (a) If the cylinder rolls 4.0 m without slipping, what is the angular speed about its center when leaving the roof? (b) If the roof edge of the house is 6.0 m above level ground, how far from the edge of the roof does the cylindrical roll land? (Figure not to scale.)
Attempt 4 A uniform, solid sphere of radius 5.50 cm and mass 1.25 kg starts with...
Attempt 4 A uniform, solid sphere of radius 5.50 cm and mass 1.25 kg starts with a purely translational speed of 3.25 m/s at the top of an inclined plane. The surface of the incline is 2.50 m long, and is tilted at an angle of 34.0∘ 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.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT