5. A rod of length 30.0 cm has a linear density (mass per length) given by 1 = 50.0 + 20.0 x wherex is the distance from one end, measure in meters, and is in grams/meter.a) What is the mass of the rod?b) How far from the x=0 end is its center of mass?

Given Data Length of the rod is L=30.0 cm=30.0 cm×1 m100 cm=0.30 m Linear density of the rod is…

A rod of length 30.0 cm has a linear density (mass per length) given by 2 = 50.0 + 20.0 x where x is the distance from one end, measure in meters, and 1 is in grams/meter. a) What is the mass of the rod? b) How far from the x=0 end is its center of mass?

A rod of length 30.0 cm has a linear density (mass per length) given by 2 = 50.0 + 20.0 x where x is the distance from one end, measure in meters, and 1 is in grams/meter. a) What is the mass of the rod? b) How far from the x=0 end is its center of mass?

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter8: Momentum And Collisions

Section: Chapter Questions

Problem 38P

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Concept explainers

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).

Question

5. A rod of length 30.0 cm has a linear density (mass per length) given by 1 = 50.0 + 20.0 x where
x is the distance from one end, measure in meters, and is in grams/meter.
a) What is the mass of the rod?
b) How far from the x=0 end is its center of mass?

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