**Problem:**A uniform thin rod of mass \( M = 3.39 \, \text{kg} \) pivots about an axis through its center and perpendicular to its length. Two small bodies, each of mass \( m = 0.217 \, \text{kg} \), are attached to the ends of the rod. What must the length \( L \) of the rod be so that the moment of inertia of the three-body system with respect to the described axis is \( I = 0.935 \, \text{kg} \cdot \text{m}^2 \)?**Diagram Explanation:**The diagram shows a horizontal thin rod with a mass \( M \) and two small masses \( m \) attached to each end. The rod is shown to pivot about an axis (illustrated with a dashed vertical line and a circular arrow indicating rotation) located at its center. The length of the rod is labeled \( L \).There is a box provided to calculate and enter the value of \( L \) in meters.

Given: The mass of the rod is 3.39 kg. The mass of the two bodies is 0.217 kg. The total moment of…

A uniform thin rod of mass M = 3.39 kg pivots about an axis through its center and bodies, each of mass m = 0.217 kg, are attached to the ends of the rod. What must the length L of the rod be so that the momer of inertia of the three-body system with respect to the described axis is I = 0.935 kg-m² ? m L = m

A uniform thin rod of mass M = 3.39 kg pivots about an axis through its center and bodies, each of mass m = 0.217 kg, are attached to the ends of the rod. What must the length L of the rod be so that the momer of inertia of the three-body system with respect to the described axis is I = 0.935 kg-m² ? m L = m

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

Angular speed, acceleration and displacement

Angular acceleration is defined as the rate of change in angular velocity with respect to time. It has both magnitude and direction. So, it is a vector quantity.

Angular Position

Before diving into angular position, one should understand the basics of position and its importance along with usage in day-to-day life. When one talks of position, it’s always relative with respect to some other object. For example, position of earth with respect to sun, position of school with respect to house, etc. Angular position is the rotational analogue of linear position.

Question

**Problem:**

A uniform thin rod of mass \( M = 3.39 \, \text{kg} \) pivots about an axis through its center and perpendicular to its length. Two small bodies, each of mass \( m = 0.217 \, \text{kg} \), are attached to the ends of the rod. What must the length \( L \) of the rod be so that the moment of inertia of the three-body system with respect to the described axis is \( I = 0.935 \, \text{kg} \cdot \text{m}^2 \)?

**Diagram Explanation:**

The diagram shows a horizontal thin rod with a mass \( M \) and two small masses \( m \) attached to each end. The rod is shown to pivot about an axis (illustrated with a dashed vertical line and a circular arrow indicating rotation) located at its center. The length of the rod is labeled \( L \).

There is a box provided to calculate and enter the value of \( L \) in meters.

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