49. Three objects lie in the x, y plane. Each rotates about the z axis with an angular speed of 6.00 rad/s. The mass m of each ob- ject and its perpendicular distance r from the z axis are as follows: (1) m, = 6.00 kg and r, = 2.00 m, (2) m, = 4.00 kg and r, = 1.50 m, (3) m; = 3.00 kg and r3 = 3.00 m. (a) Find the tangential speed of each object. (b) Determine the total kinetic energy of this system using the expression KE = }m,v² + ¿mv? + ±mv3. (c) Obtain the moment of inertia of the system. (d) Find the rotational kinetic energy of the system using the relation KEg = }lw² to verify that the answer is the same as the answer to (b).

49. Three objects lie in the x, y plane. Each rotates about the z axis with an angular speed of 6.00 rad/s. The mass m of each ob- ject and its perpendicular distance r from the z axis are as follows: (1) m, = 6.00 kg and r, = 2.00 m, (2) m, = 4.00 kg and r, = 1.50 m, (3) m; = 3.00 kg and r3 = 3.00 m. (a) Find the tangential speed of each object. (b) Determine the total kinetic energy of this system using the expression KE = }m,v² + ¿mv? + ±mv3. (c) Obtain the moment of inertia of the system. (d) Find the rotational kinetic energy of the system using the relation KEg = }lw² to verify that the answer is the same as the answer to (b).

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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Question

49.
Three objects lie in the x, y plane. Each rotates about the
z axis with an angular speed of 6.00 rad/s. The mass m of each ob-
ject and its perpendicular distance r from the z axis are as follows:
(1) m, = 6.00 kg and r, = 2.00 m, (2) m, = 4.00 kg and r, = 1.50 m,
(3) m; = 3.00 kg and r3 = 3.00 m. (a) Find the tangential speed of each
object. (b) Determine the total kinetic energy of this system using the
expression KE = }m,v² + ¿mv? + ±mv3. (c) Obtain the moment of
inertia of the system. (d) Find the rotational kinetic energy of the system
using the relation KEg = }lw² to verify that the answer is the same as
the answer to (b).

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