Problem 79. The ballistic pendulum is a simple device to measure projectile velocity v by observing the maximum angle to which the box of sand with embedded projectile swings. Calculate the angle if the 2 oz projectile is fired horizontally into the suspended 50 lb box of sand with a velocity v = 2000 ft/sec. Also find the percentage of energy lost during impact.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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**Problem 79.** The ballistic pendulum is a simple device to measure projectile velocity \( v \) by observing the maximum angle \( \theta \) to which the box of sand with embedded projectile swings. Calculate the angle \( \theta \) if the 2 oz projectile is fired horizontally into the suspended 50 lb box of sand with a velocity \( v = 2000 \, \text{ft/sec} \). Also find the percentage of energy lost during impact.

**Explanation of Diagram:**

- The diagram depicts a ballistic pendulum setup.
- A box filled with sand is suspended by a rod, which allows it to swing.
- The projectile is shown to be embedded in the box.
- The angle \( \theta \) represents the maximum swing angle of the box after impact.
- The pendulum length is indicated as 6 feet.
Transcribed Image Text:**Problem 79.** The ballistic pendulum is a simple device to measure projectile velocity \( v \) by observing the maximum angle \( \theta \) to which the box of sand with embedded projectile swings. Calculate the angle \( \theta \) if the 2 oz projectile is fired horizontally into the suspended 50 lb box of sand with a velocity \( v = 2000 \, \text{ft/sec} \). Also find the percentage of energy lost during impact. **Explanation of Diagram:** - The diagram depicts a ballistic pendulum setup. - A box filled with sand is suspended by a rod, which allows it to swing. - The projectile is shown to be embedded in the box. - The angle \( \theta \) represents the maximum swing angle of the box after impact. - The pendulum length is indicated as 6 feet.
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