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A hollow sphere with mass M = 3.0 kg, radius R = 15 cm [note units] rolls without slipping down the inclined plane shown above. The cylinder starts from rest at a height H=2.0 m. The inclined plane makes an angle  = 35o with the horizontal. a. On the figure below, draw and label the forces acting on the sphere as it rolls down the inclined plane Your arrow should begin at the point of application of each force. b. Determine the gravitational potential energy of the sphere. Use the point of contact between the sphere and the ground as a reference point. c. Use conservation of energy to determine the linear speed of the sphere at the bottom of the ramp. (e.g. Total Energy at the top of the Ramp = Rolling Kinetic Energy at the Bottom of the Ramp + Translational Kinetic Energy at the bottom of the ramp). You will need to use the fact that sphere is rolling without slipping to determine this. d. If the sphere slid down the ramp (without friction) rather than rolled, would you expect the translational speed to be greater, less or the same than it was rolling. Explain you answer referring to energy.

A hollow sphere with mass M = 3.0 kg, radius R = 15 cm [note units] rolls without slipping down the inclined plane shown above. The cylinder starts from rest at a height H=2.0 m. The inclined plane makes an angle  = 35o with the horizontal. a. On the figure below, draw and label the forces acting on the sphere as it rolls down the inclined plane Your arrow should begin at the point of application of each force. b. Determine the gravitational potential energy of the sphere. Use the point of contact between the sphere and the ground as a reference point. c. Use conservation of energy to determine the linear speed of the sphere at the bottom of the ramp. (e.g. Total Energy at the top of the Ramp = Rolling Kinetic Energy at the Bottom of the Ramp + Translational Kinetic Energy at the bottom of the ramp). You will need to use the fact that sphere is rolling without slipping to determine this. d. If the sphere slid down the ramp (without friction) rather than rolled, would you expect the translational speed to be greater, less or the same than it was rolling. Explain you answer referring to energy.

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A hollow sphere with mass M = 3.0 kg, radius R = 15 cm [note units] rolls without slipping down the inclined plane shown above. The cylinder starts
from rest at a height H=2.0 m. The inclined plane makes an angle  = 35o with the horizontal.
a. On the figure below, draw and label the forces acting on the sphere as it rolls down the inclined plane Your arrow should begin at the point
of application of each force.

b. Determine the gravitational potential energy of the sphere. Use the point of contact between the sphere and the ground as a reference
point.

c. Use conservation of energy to determine the linear speed of the sphere at the bottom of the ramp. (e.g. Total Energy at the top of the
Ramp = Rolling Kinetic Energy at the Bottom of the Ramp + Translational Kinetic Energy at the bottom of the ramp). You will need to use
the fact that sphere is rolling without slipping to determine this.

d. If the sphere slid down the ramp (without friction) rather than rolled, would you expect the translational speed to be greater, less or the
same than it was rolling. Explain you answer referring to energy.

M, H
Transcribed Image Text:M, H
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