Question:

_____ is equal to the product of the force and the perpendicular distance of the point, about which the moment is required and the line of action of the force.

Show Hint

The rotational tendency of a force is its moment, calculated as $\text{Force} \times \text{Perpendicular Distance}$. It is measured in Newton-meters (N$\cdot$m).
  • Moment of inertia
  • Moment of mass
  • Moment of force
  • Moment of centre of gravity
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The Correct Option is C

Solution and Explanation

Step 1: Understanding the Concept:
In applied mechanics, a moment is a quantitative measure of the tendency of a force to cause a body to rotate about a specific point or axis.

Step 2: Detailed Explanation:

The moment of a force (also known as torque) about a point is defined as the product of the magnitude of the force ($F$) and the perpendicular distance ($d$) from the point to the line of action of the force.
Mathematically:
\[ \text{Moment} = F \times d \]
- Moment of inertia is a physical quantity that measures a body's resistance to rotational acceleration about an axis, calculated as the sum of mass times the square of distance ($I = mr^2$).
- Moment of mass is the product of mass and its distance from a reference axis.
- Moment of force directly represents the rotational effect produced by a force acting at a distance from an axis.
Therefore, the correct term is moment of force.

Step 3: Final Answer

The correct option is (C).
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