Rolling: a Uniform Solid Sphere of Mass 1

question 89

Essay

Rolling: A uniform solid sphere of mass 1.5 kg and diameter 30.0 cm starts from rest and rolls without slipping down a 35° incline that is 7.0 m long.
(a) Calculate the linear speed of the center of the sphere when it reaches the bottom of the incline.
(b) Determine the angular speed of the sphere about its center at the bottom of the incline.
(c) Through what angle (in radians) does this sphere turn as it rolls down the incline?
(d) Does the linear speed in (a) depend on the radius or mass of the sphere? Does the angular speed in (b) depend on the radius or mass of the sphere?

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Definitions:

Montreal

A major city in Quebec, Canada, known for its cultural diversity, historical sites, and economic significance.

Edmonton

The capital city of Alberta, Canada, known for its vibrant culture and as the gateway to the North.

Holding Cost

The expenses associated with storing unsold goods or materials, including warehousing, insurance, spoilage, and opportunity costs.

Per Month

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