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Section 12.9 Rolling MotionA solid sphere of radius R is
Chapter 12, Problem 35E(choose chapter or problem)
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?
Questions & Answers
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.