Consider the figure above consisting of three particles of mass m attached to a massless rod.  Given an axis of rotation through point P, the rod rotates as shown in the figure.  If the rod is released from rest in the horizontal position at t = 0.  What is the angular acceleration of the system (rod and three particles) immediately after being released?  Let d = 2.00 m.

Physics for Scientists and Engineers
10th Edition
ISBN:9781337553278
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter15: Oscillatory Motion
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Consider the figure above consisting of three particles of mass m attached to a massless rod.  Given an axis of rotation through point P, the rod rotates as shown in the figure.  If the rod is released from rest in the horizontal position at t = 0.  What is the angular acceleration of the system (rod and three particles) immediately after being released?  Let d = 2.00 m.

### Diagram Explanation for Educational Purposes

This diagram illustrates a physical system consisting of three identical point masses, each labeled \(m\), positioned in a linear formation along a rigid rod. The configuration and specific notations in the diagram are as follows:

1. **Mass Placement:**
   - The masses are placed at points 1, 2, and 3 along the rod. 
   - Each segment between adjacent masses has a length of \(d\).

2. **Distances:**
   - The distance between mass 1 and mass 2 is \(d\).
   - The distance between mass 2 and mass 3 is also \(d\).

3. **Pivot Point:**
   - There is a pivotal or reference point labeled \(P\) on the rod.
   - It is positioned such that the distance from point 2 to point \(P\) is \(\frac{2d}{3}\).

4. **Rotation:**
   - An arrow is positioned at the right end of the rod (near mass 3) suggesting rotation around point \(P\).

This setup may be used to study concepts such as moments of inertia, center of mass calculations, or rotational dynamics. The equal masses and symmetric distances simplify the calculations in various physics problems involving torque and rotational equilibrium.
Transcribed Image Text:### Diagram Explanation for Educational Purposes This diagram illustrates a physical system consisting of three identical point masses, each labeled \(m\), positioned in a linear formation along a rigid rod. The configuration and specific notations in the diagram are as follows: 1. **Mass Placement:** - The masses are placed at points 1, 2, and 3 along the rod. - Each segment between adjacent masses has a length of \(d\). 2. **Distances:** - The distance between mass 1 and mass 2 is \(d\). - The distance between mass 2 and mass 3 is also \(d\). 3. **Pivot Point:** - There is a pivotal or reference point labeled \(P\) on the rod. - It is positioned such that the distance from point 2 to point \(P\) is \(\frac{2d}{3}\). 4. **Rotation:** - An arrow is positioned at the right end of the rod (near mass 3) suggesting rotation around point \(P\). This setup may be used to study concepts such as moments of inertia, center of mass calculations, or rotational dynamics. The equal masses and symmetric distances simplify the calculations in various physics problems involving torque and rotational equilibrium.
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