What is the moment cause by a couple made up of two 270 lb forces, 2.5 ft apart?

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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**Question:** What is the moment caused by a couple made up of two 270 lb forces, 2.5 ft apart?

**Explanation:**

In physics and engineering, a moment (also known as torque) is the measure of the force causing an object to rotate about an axis. A moment is calculated by the product of the force and the distance from the axis (lever arm).

For a couple, the moment is calculated using the formula:

\[ \text{Moment} = \text{Force} \times \text{Distance} \]

In this case:

- Each force of the couple is 270 lbs.
- The distance between the forces (lever arm) is 2.5 ft.

Hence, the moment is:

\[ \text{Moment} = 270 \, \text{lb} \times 2.5 \, \text{ft} = 675 \, \text{lb-ft} \]

**Answer:** The moment caused by the couple is 675 lb-ft.
Transcribed Image Text:**Question:** What is the moment caused by a couple made up of two 270 lb forces, 2.5 ft apart? **Explanation:** In physics and engineering, a moment (also known as torque) is the measure of the force causing an object to rotate about an axis. A moment is calculated by the product of the force and the distance from the axis (lever arm). For a couple, the moment is calculated using the formula: \[ \text{Moment} = \text{Force} \times \text{Distance} \] In this case: - Each force of the couple is 270 lbs. - The distance between the forces (lever arm) is 2.5 ft. Hence, the moment is: \[ \text{Moment} = 270 \, \text{lb} \times 2.5 \, \text{ft} = 675 \, \text{lb-ft} \] **Answer:** The moment caused by the couple is 675 lb-ft.
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