4.) A cylinder mass 10.0 kg rolls without slipping on a horizontal surface. At a certain instant, its center of mass has a speed of 10.0 m/s. When the cylinder obtains its center of mass speed of 10m/s on the horizontal surface, it suddenly encounters a downward slope at an angle of 35 degrees measured down from horizontal and begins to roll down. Determine (a) the translational kinetic energy of its center of mass, and (b) the rotational kinetic energy about its center of mass

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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I am supposed to find a and b when the cylander has moved 10m along the slope.

4.) A cylinder mass 10.0 kg rolls without slipping on a horizontal surface. At a certain instant, its
center of mass has a speed of 10.0 m/s. When the cylinder obtains its center of mass speed of
10m/s on the horizontal surface, it suddenly encounters a downward slope at an angle of 35
degrees measured down from horizontal and begins to roll down. Determine (a) the
translational kinetic energy of its center of mass, and (b) the rotational kinetic energy about its
center of mass
Transcribed Image Text:4.) A cylinder mass 10.0 kg rolls without slipping on a horizontal surface. At a certain instant, its center of mass has a speed of 10.0 m/s. When the cylinder obtains its center of mass speed of 10m/s on the horizontal surface, it suddenly encounters a downward slope at an angle of 35 degrees measured down from horizontal and begins to roll down. Determine (a) the translational kinetic energy of its center of mass, and (b) the rotational kinetic energy about its center of mass
Expert Solution
Step 1

4.

(a)

The translational kinetic energy of the center of mass is,

Ktran=12mv2=1210 kg10 m/s2=500 J

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