Rotational Dynamics About a Moving Axis: a Uniform Hollow Spherical

question 26

Essay

Rotational dynamics about a moving axis: A uniform hollow spherical ball of mass 1.75 kg and radius 40.0 cm rolls without slipping up a ramp that rises at 30.0° above the horizontal. The speed of the ball at the base of the ramp is 2.63 m/s. While the ball is moving up the ramp, find
(a) the acceleration (magnitude and direction) of its center of mass and
(b) the friction force (magnitude and direction) acting on it due to the surface of the ramp.

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Definitions:

Simple Sugar

Small carbohydrate molecules that serve as a source of energy and building blocks for more complex carbohydrates, such as glucose and fructose.

Deoxyribose

A sugar component of DNA, having one less oxygen atom than ribose, the sugar component of RNA.

Monosaccharide

The simplest form of carbohydrates, consisting of a single sugar molecule such as glucose or fructose.

Polysaccharide

A complex carbohydrate composed of long chains of monosaccharide units bound together by glycosidic linkages, serving various structural and energy storage roles in living organisms.