0 10 20 30 x(cm) Four masses are arranged as shown. M₁=3 kg at (0,0)cm. M₂-5 kg at (10,0)cm. M4-5 kg at (30,0)cm. M3-3 kg at (20,0)cm. The masses are connected by a light rod of negligible mass. a.) Calculate the moment of inertia if the masses rotate around the y-axis (M₁ is the center of rotation). b.) The object is rotating about the y-axis with w = 6 rad/s. Find the tangential velocities of each separate mass. Show that the sum of the kinetic energies of the individual masses equals the rotational energy of the entire system:Σ=₁m₁ v² = 1/1w². c.) If 0.5 J of work is done to this system, what is the new angular velocity, w?

0 10 20 30 x(cm) Four masses are arranged as shown. M₁=3 kg at (0,0)cm. M₂-5 kg at (10,0)cm. M4-5 kg at (30,0)cm. M3-3 kg at (20,0)cm. The masses are connected by a light rod of negligible mass. a.) Calculate the moment of inertia if the masses rotate around the y-axis (M₁ is the center of rotation). b.) The object is rotating about the y-axis with w = 6 rad/s. Find the tangential velocities of each separate mass. Show that the sum of the kinetic energies of the individual masses equals the rotational energy of the entire system:Σ=₁m₁ v² = 1/1w². c.) If 0.5 J of work is done to this system, what is the new angular velocity, w?

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Concept explainers

Torque

Torque is the rotational equivalent of linear force in physics and mechanics. Based on the course of study, it is also known as the moment of force, rotational force, or turning effect.

Question

1.
0
10
20
ESSE
30
x(cm)
Four masses are arranged as shown.
M₁-3 kg at (0,0)cm.
M3-3 kg at (20,0)cm.
M₂=5 kg at (10,0)cm.
M4-5 kg at (30,0)cm.
The masses are connected by a light rod of negligible mass.
a.) Calculate the moment of inertia if the masses rotate around the y-axis (M₁ is the center of
rotation).
b.) The object is rotating about the y-axis with w = 6 rad/s. Find the tangential velocities of each
separate mass. Show that the sum of the kinetic energies of the individual masses equals the
rotational energy of the entire system:Σ-1m₁ v² = 1/1/1w².
c.) If 0.5 J of work is done to this system, what is the new angular velocity, w?
d.) Calculate the moment of inertia of the system if it now rotates about an axis that passes
through mass #3, parallel to the y-axis.
e.) What is the rotational kinetic energy of the system if it rotates about M3 with w = 6 rad/s?

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