Calculate the final speed of a solid sphere and a hoop that roll down a 2.0 m incline.

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Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
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Calculate the final speed of a solid sphere and a hoop that roll down a 2.0 m incline. They both
start from rest, they have the same mass of 0.750 kg and radii of 4.0 cm.
Radius R.
Sphere
Particle
Hoop
Cylinder
All mass M
Hoop or thin
cylindrical shell
ICM = MR²
디요.
R
Solid sphere
ICM = MR²
a. What is the final velocity of the sphere when it gets to the bottom of the slope.
b. What is the final velocity of the hoop when it gets to the bottom of the slope.
c. Repeat the calculation for a point-like mass (not rotating) with the same mass.
d. Which one gets to the bottom faster, why?
R
Transcribed Image Text:Calculate the final speed of a solid sphere and a hoop that roll down a 2.0 m incline. They both start from rest, they have the same mass of 0.750 kg and radii of 4.0 cm. Radius R. Sphere Particle Hoop Cylinder All mass M Hoop or thin cylindrical shell ICM = MR² 디요. R Solid sphere ICM = MR² a. What is the final velocity of the sphere when it gets to the bottom of the slope. b. What is the final velocity of the hoop when it gets to the bottom of the slope. c. Repeat the calculation for a point-like mass (not rotating) with the same mass. d. Which one gets to the bottom faster, why? R
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