**Problem 5: Rotational Motion of a Two-Particle System**Two particles, each with mass \( m = 0.5 \, \text{kg} \), are fastened to each other and to a rotation axis at point \( O \) by two massless rods, each with a length \( d = 6 \, \text{cm} \).**Questions:**a. What is the moment of inertia of the system?b. If the angular position of the system is given by \(\theta = 2t^3 - t^2 + 3\), find the angular velocity of the rotating system at \( t = 2.0 \, \text{s} \).c. Find the kinetic energy of the system at \( t = 2.0 \, \text{s} \).**Answers:**- Moment of Inertia: \( I = 9 \times 10^{-3} \, \text{kg} \, \text{m}^2 \)- Angular Velocity: \( \omega = 20 \, \text{rad/s} \)- Kinetic Energy: \( K_E = 1.8 \, \text{J} \)**Diagram Explanation:**The diagram shows:- A rotation axis at point \( O \).- Two particles, each at the end of a rod of length \( d \).- The particles are highlighted in blue.- An arrow represents the angular velocity (\(\omega\)), indicating the direction of rotation.

Answered: Image /qna-images/answer/9a57e6ab-5362-4533-85cf-7cc1d90308cd.jpg

5. Two particles, each with m = 0.5 kg, are fastened to each other to a rotation axis at O, by two massless rods, each with length d = 6 cm. a. What is the moment of inertia of the system? b. If the angular position of the system is given by 0 = 2t³ — t² + 3, find the angular velocity of the rotating system at t = 2.0 s. c. Find the kinetic energy of the system at t = 2.0 s?

5. Two particles, each with m = 0.5 kg, are fastened to each other to a rotation axis at O, by two massless rods, each with length d = 6 cm. a. What is the moment of inertia of the system? b. If the angular position of the system is given by 0 = 2t³ — t² + 3, find the angular velocity of the rotating system at t = 2.0 s. c. Find the kinetic energy of the system at t = 2.0 s?

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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