The image illustrates a physics problem involving a uniform thin rod. The rod is characterized by the following parameters and conditions:- Mass (\( M \)): 5.00 kg- Length (\( L \)): 3.45 mThe rod is free to rotate about a frictionless pin. At the initial moment, the rod is released from rest in a horizontal position. The task is to determine three key quantities:1. **The Rod's Angular Acceleration (\( \alpha \))** in \(\text{rad/s}^2\).2. **The Tangential Acceleration of the Rod's Center of Mass** in \(\text{m/s}^2\).3. **The Tangential Acceleration of the Rod's Free End** in \(\text{m/s}^2\).### Diagram Explanation- The diagram shows the rod pivoted at one end. The center of mass (marked as CG) is at \( L/2 \) from the pivot.- An arrow indicates the direction of rotational motion.### Questions(a) Determine the rod's angular acceleration (\( \text{rad/s}^2 \)).(b) Find the tangential acceleration of the rod's center of mass (\( \text{m/s}^2 \)).(c) Calculate the tangential acceleration of the rod's free end (\( \text{m/s}^2 \)).### Interactive Options- **Need Help?** provides resources: "Read It" and "Watch It" for further assistance.

Answered: Image /qna-images/answer/01633d45-4f9f-4812-b643-a937ae85c11c.jpg

The uniform thin rod in the figure below has mass M = 5.00 kg and length L = 3.45 m and is free to rotate on a frictionless pin. At the instant the rod is released from rest in the horizontal position, find the magnitude of the rod's angular acceleration, the tangential acceleration of the rod's center of mass, and the tangential acceleration of the レ× CC rod's free end. HINT M L/2 の (a) the rod's angular acceleration (in rad/s) rad/s? (b) the tangential acceleration of the rod's center of mass (in m/s?) m/s? (c) the tangential acceleration of the rod's free end (in m/s?) m/s? Need Help? Bead t Wateh

The uniform thin rod in the figure below has mass M = 5.00 kg and length L = 3.45 m and is free to rotate on a frictionless pin. At the instant the rod is released from rest in the horizontal position, find the magnitude of the rod's angular acceleration, the tangential acceleration of the rod's center of mass, and the tangential acceleration of the レ× CC rod's free end. HINT M L/2 の (a) the rod's angular acceleration (in rad/s) rad/s? (b) the tangential acceleration of the rod's center of mass (in m/s?) m/s? (c) the tangential acceleration of the rod's free end (in m/s?) m/s? Need Help? Bead t Wateh

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

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The image illustrates a physics problem involving a uniform thin rod. The rod is characterized by the following parameters and conditions:

- Mass (\( M \)): 5.00 kg
- Length (\( L \)): 3.45 m

The rod is free to rotate about a frictionless pin. At the initial moment, the rod is released from rest in a horizontal position. The task is to determine three key quantities:

1. **The Rod's Angular Acceleration (\( \alpha \))** in \(\text{rad/s}^2\).
2. **The Tangential Acceleration of the Rod's Center of Mass** in \(\text{m/s}^2\).
3. **The Tangential Acceleration of the Rod's Free End** in \(\text{m/s}^2\).

### Diagram Explanation
- The diagram shows the rod pivoted at one end. The center of mass (marked as CG) is at \( L/2 \) from the pivot.
- An arrow indicates the direction of rotational motion.

### Questions
(a) Determine the rod's angular acceleration (\( \text{rad/s}^2 \)).

(b) Find the tangential acceleration of the rod's center of mass (\( \text{m/s}^2 \)).

(c) Calculate the tangential acceleration of the rod's free end (\( \text{m/s}^2 \)).

### Interactive Options
- **Need Help?** provides resources: "Read It" and "Watch It" for further assistance.

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