Nonuniform ball. In the figure, a ball of mass M and radius R rolls smoothly from rest down a ramp and onto a circular loop of radius 0.51 m. The initial height of the ball is h = 0.40 m. At the loopbottom,the magnitude of the normal force on the ball is 1.95M.. The ball consists of an outer spherical shell (of a certain uniform density) that is glued to a central sphere (of a different uniformdensity). The rotational inertia of the ball can be expressed in the general form I = BMR2, but B is not 0.4 as it is for a ball of uniform density. Determine B.

Write a given values of this question. R=0.51mh=0.40mI=βMR2 Normal force on a ball. FN=1.95Mg…

Nonuniform ball. In the figure, a ball of mass M and radius R rolls smoothly from rest down a ramp and onto a circular loop of radius 0.51 m. The initial height of the ball is h = 0.40 m. At the loop bottom, the magnitude of the normal force on the ball is 1.95Mg. The ball consists of an outer spherical shell (of a certain uniform density) that is glued to a central sphere (of a different uniform density). The rotational inertia of the ball can be expressed in the general form I = BMR2, but B is not 0.4 as it is for a ball of uniform density. Determine B.

Nonuniform ball. In the figure, a ball of mass M and radius R rolls smoothly from rest down a ramp and onto a circular loop of radius 0.51 m. The initial height of the ball is h = 0.40 m. At the loop bottom, the magnitude of the normal force on the ball is 1.95Mg. The ball consists of an outer spherical shell (of a certain uniform density) that is glued to a central sphere (of a different uniform density). The rotational inertia of the ball can be expressed in the general form I = BMR2, but B is not 0.4 as it is for a ball of uniform density. Determine B.

Physics for Scientists and Engineers, Technology Update (No access codes included)

9th Edition

ISBN:9781305116399

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter11: Angular Momentum

Section: Chapter Questions

Problem 11.29P: A space station is coast me ted in the shape of a hollow ring of mass 5.00 104 kg. Members of the...

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Rigid Body

A rigid body is an object which does not change its shape or undergo any significant deformation due to an external force or movement. Mathematically speaking, the distance between any two points inside the body doesn't change in any situation.

Rigid Body Dynamics

Rigid bodies are defined as inelastic shapes with negligible deformation, giving them an unchanging center of mass. It is also generally assumed that the mass of a rigid body is uniformly distributed. This property of rigid bodies comes in handy when we deal with concepts like momentum, angular momentum, force and torque. The study of these properties – viz., force, torque, momentum, and angular momentum – of a rigid body, is collectively known as rigid body dynamics (RBD).

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Nonuniform ball. In the figure, a ball of mass M and radius R rolls smoothly from rest down a ramp and onto a circular loop of radius 0.51 m. The initial height of the ball is h = 0.40 m. At the loop
bottom,
the magnitude of the normal force on the ball is 1.95M.. The ball consists of an outer spherical shell (of a certain uniform density) that is glued to a central sphere (of a different uniform
density). The rotational inertia of the ball can be expressed in the general form I = BMR2, but B is not 0.4 as it is for a ball of uniform density. Determine B.

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