What is the moment cause by a couple made up of two 270 lb forces, 2.5 ft apart?
What is the moment cause by a couple made up of two 270 lb forces, 2.5 ft apart?
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F24227ad7-0cee-4cb3-bf8f-36b2c099999b%2F4a758338-6050-4937-a5c0-1b0751fee9bd%2Fs9cdsza_processed.jpeg&w=3840&q=75)
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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