A ball of mass m and radius r is held in place by strings as shown in the figure. The string on the left is cut allowing the ball to swing to the right. What is the tension in the string at the instant the ball is hanging vertically?

College Physics
11th Edition
ISBN:9781305952300
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Chapter1: Units, Trigonometry. And Vectors
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### Problem Statement:

A ball of mass \( m \) and radius \( r \) is held in place by strings as shown in the figure. The string on the left is cut, allowing the ball to swing to the right. What is the tension in the string at the instant the ball is hanging vertically?

### Diagram Explanation:

- **Ball (M):** A circle represents the ball with a point labeled \( M \).
- **String (L):** A straight line is attached to the ball at an angle \( \theta \) heading upwards to a fixed point.
- **Vertical Position:** The figure suggests the ball is swinging from left to right and will hang vertically at the instant we are considering.
  
There is no scale given for the lengths, masses, or angles. The angle \( \theta \) and the length \( L \) of the string are given as points of reference for calculating the dynamics of the system. When the ball hangs vertically, the angle \( \theta \) will be zero, indicating a change in potential energy that could provide information about the tension.
Transcribed Image Text:### Problem Statement: A ball of mass \( m \) and radius \( r \) is held in place by strings as shown in the figure. The string on the left is cut, allowing the ball to swing to the right. What is the tension in the string at the instant the ball is hanging vertically? ### Diagram Explanation: - **Ball (M):** A circle represents the ball with a point labeled \( M \). - **String (L):** A straight line is attached to the ball at an angle \( \theta \) heading upwards to a fixed point. - **Vertical Position:** The figure suggests the ball is swinging from left to right and will hang vertically at the instant we are considering. There is no scale given for the lengths, masses, or angles. The angle \( \theta \) and the length \( L \) of the string are given as points of reference for calculating the dynamics of the system. When the ball hangs vertically, the angle \( \theta \) will be zero, indicating a change in potential energy that could provide information about the tension.
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