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Physics / Fundamentals of Physics 10 / Chapter 11 / Problem 7

Fundamentals of Physics | 10th Edition | ISBN: 9781118230725 | Authors: David Halliday; Robert Resnick; Jearl Walker

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In Fig. 11-31, a solid cylinder of radius 10 cm and mass

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QUESTION:

In Fig. 11-31, a solid cylinder of radius 10 cm and mass 12 kg starts from rest and rolls without slipping a distance L ! 6.0 m down a roof that is inclined at angle u ! 30(. (a) What is the angular speed of the cylinder about its center as it leaves the roof? (b) The roofs edge is at height H ! 5.0 m. How far horizontally from the roofs edge does the cylinder hit the level ground?

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QUESTION:

In Fig. 11-31, a solid cylinder of radius 10 cm and mass 12 kg starts from rest and rolls without slipping a distance L ! 6.0 m down a roof that is inclined at angle u ! 30(. (a) What is the angular speed of the cylinder about its center as it leaves the roof? (b) The roofs edge is at height H ! 5.0 m. How far horizontally from the roofs edge does the cylinder hit the level ground?

ANSWER:

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a)

We have a solid cylinder with radius of and mass of , it starts rolling from rest without slipping a distance of down a roof, the roof is inclined at angle of as shown in the following figure.

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