C and D ### DescriptionA hollow sphere is attached to the end of a uniform rod. The sphere has a radius of \(0.78 \, \text{m}\) and a mass of \(0.60 \, \text{kg}\). The rod has a length of \(1.30 \, \text{m}\) and a mass of \(0.42 \, \text{kg}\). The rod is placed on a fulcrum (pivot) at \(X = 0.44 \, \text{m}\) from the left end of the rod.### Questions and Calculations**(a)** Calculate the moment of inertia of the contraption around the fulcrum.- **Answer Input:** \(4.66 \, \text{kg m}^2\) ❌**(b)** Calculate the torque about the fulcrum, using CCW as positive.- **Answer Input:** \(6.3 \, \text{N m}\) ✔️**(c)** Calculate the angular acceleration of the contraption, using CCW as positive.- **Answer Input:** \(\text{rad/s}^2\) ❌**(d)** Calculate the linear acceleration of the right end of the rod, using up as positive.- **Answer Input:** \(\text{m/s}^2\) ❌### Diagram ExplanationThe diagram illustrates a flat horizontal rod with a hollow sphere attached to its left end. Beneath the rod is a triangular fulcrum positioned at \(X = 0.44\, \text{m}\) from the left end. The rod is labeled with length \(L\) and distance \(X\) from the fulcrum to the left end. The sphere's radius is marked as \(R\).The setup is designed to demonstrate the concepts of moment of inertia, torque, angular acceleration, and linear acceleration using a balanced system around a pivot.

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Answered: C and D

Science

Physics

C and D

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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C and D

### Description

A hollow sphere is attached to the end of a uniform rod. The sphere has a radius of \(0.78 \, \text{m}\) and a mass of \(0.60 \, \text{kg}\). The rod has a length of \(1.30 \, \text{m}\) and a mass of \(0.42 \, \text{kg}\). The rod is placed on a fulcrum (pivot) at \(X = 0.44 \, \text{m}\) from the left end of the rod.

### Questions and Calculations

**(a)** Calculate the moment of inertia of the contraption around the fulcrum.

- **Answer Input:** \(4.66 \, \text{kg m}^2\) ❌

**(b)** Calculate the torque about the fulcrum, using CCW as positive.

- **Answer Input:** \(6.3 \, \text{N m}\) ✔️

**(c)** Calculate the angular acceleration of the contraption, using CCW as positive.

- **Answer Input:** \(\text{rad/s}^2\) ❌

**(d)** Calculate the linear acceleration of the right end of the rod, using up as positive.

- **Answer Input:** \(\text{m/s}^2\) ❌

### Diagram Explanation

The diagram illustrates a flat horizontal rod with a hollow sphere attached to its left end. Beneath the rod is a triangular fulcrum positioned at \(X = 0.44\, \text{m}\) from the left end. The rod is labeled with length \(L\) and distance \(X\) from the fulcrum to the left end. The sphere's radius is marked as \(R\).

The setup is designed to demonstrate the concepts of moment of inertia, torque, angular acceleration, and linear acceleration using a balanced system around a pivot.

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