Section 12.9 Rolling MotionA solid sphere of radius R is

Chapter 12, Problem 35E

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QUESTION:

Problem 35E

Section 12.9 Rolling Motion

A solid sphere of radius R is placed at a height of 30 cm on a 15° slope. It is released and rolls, without slipping, to the bottom. From what height should a circular hoop of radius R be released on the same slope in order to equal the sphere’s speed at the bottom?

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QUESTION:

Problem 35E

Section 12.9 Rolling Motion

A solid sphere of radius R is placed at a height of 30 cm on a 15° slope. It is released and rolls, without slipping, to the bottom. From what height should a circular hoop of radius R be released on the same slope in order to equal the sphere’s speed at the bottom?

ANSWER:

Step 1 of 3

 

Here we have to find the height from which a hoop of radius R will be released, so that it will have the same speed as the sphere at the bottom.

The height of the sphere is, .

The slope is,

.

The radius is R.

 

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