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# Linear velocity of cylinders when rolling down an incline

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A thin cylindrical shell and a solid cylinder have the same mass and radius. The two are released side by side and roll down, without slipping, from the top of an inclined plane that is 4.9 m above the ground. The acceleration of gravity is 9.8 m/s2 :
Find the final linear velocity of the thin cylindrical shell. Answer in units of m/s.

Find the final linear velocity of the solid cylinder. Answer in units of m/s.

When the first object reaches the bottom, what is the height above the ground of the other object? Answer in units of m.

https://brainmass.com/physics/torques/linear-velocity-cylinders-rolling-down-incline-154452

#### Solution Preview

Please see the attached file for detailed solutions.

A thin cylindrical shell and a solid cylinder have the same mass and radius. The two are released side by side and roll down, without
slipping, from the top of an inclined plane that is 4.9 m above the ground. The acceleration of gravity is 9.8 m/s2 :
Find the final linear velocity of the thin cylindrical shell. Answer in units of m/s.
Find the final linear velocity of the solid cylinder. Answer in units of m/s.

Before releasing from the top ...

#### Solution Summary

The solution explains how to calculate the linear velocities of the cylindrical shell and the solid cylinder when they roll down without slipping from an incline in detail.

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