Equilibrium of a Rigid Body: Moments of Forces and Center of Gravity
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Questions and Answers

What is the term used to describe a moment of force that tends to rotate a body in an anticlockwise direction?

  • Counter-clockwise Moment
  • Clockwise Moment
  • Opposite Moment
  • Anticlockwise Moment (correct)
  • Which classification of moment of force describes a moment that tends to rotate a body about a fulcrum?

  • Turning Moment (correct)
  • Bending Moment
  • Rotating Moment
  • Twisting Moment
  • What type of moment tends to bend a body about one of its fixed ends?

  • Bending Moment (correct)
  • Anticlockwise Moment
  • Clockwise Moment
  • Twisting Moment
  • In which direction does a twisting moment act on a shaft?

    <p>Anticlockwise</p> Signup and view all the answers

    What is the center of gravity in physics?

    <p>An imaginary point where total weight is concentrated</p> Signup and view all the answers

    Which concept is fundamental to understanding the intact stability of a floating body?

    <p>Equilibrium</p> Signup and view all the answers

    What is the mathematical definition of moment of force?

    <p>The product of force and perpendicular distance</p> Signup and view all the answers

    Which formula represents the moment of force?

    <p>M = F * d</p> Signup and view all the answers

    In what unit is the moment of force measured in the SI system?

    <p>Newton meter (N-m)</p> Signup and view all the answers

    What type of moment is produced when a force rotates a body in a clockwise direction?

    <p>Clockwise moment</p> Signup and view all the answers

    What is the center of gravity of a body?

    <p>The point where a body's mass is concentrated</p> Signup and view all the answers

    Which term refers to the division of moments based on their direction of rotation?

    <p>Clockwise Moment</p> Signup and view all the answers

    What is the formula for calculating torque?

    <p>τ = rFsinθ</p> Signup and view all the answers

    Which type of force acts perpendicular to the surface of contact between two objects?

    <p>Normal Force</p> Signup and view all the answers

    What does the Frictional Force oppose?

    <p>Relative Motion between objects</p> Signup and view all the answers

    Which force can be either static or kinetic?

    <p>Frictional Force</p> Signup and view all the answers

    What is the primary force responsible for causing motion, deformation, or internal stresses in a rigid body?

    <p>Applied Force</p> Signup and view all the answers

    In the formula τ = rFsinθ, what does θ represent?

    <p>Angle between the force and the vector from point of application to pivot point</p> Signup and view all the answers

    Study Notes

    Equilibrium of a Rigid Body

    • Moment of force: the rotational tendency of a force, defined as the product of force and perpendicular distance from the point to the line of action of the force (M = F × d)
    • Unit of moment of force: newton meter (N-m) in SI, newton centimeter (N-cm) in CGS

    Types of Moment of Force

    • Clockwise moment: when a force acting on a body has the tendency to rotate the body in a clockwise direction
    • Anticlockwise moment: when a force acting on a body has the tendency to rotate the body in an anticlockwise direction

    Classification of Moment of Force

    • Turning moment: tends to rotate a body about a fulcrum
    • Bending moment: tends to bend a body about one of its fixed ends
    • Twisting moment: twists a shaft about one of its fixed ends

    Center of Gravity

    • Imaginary point in a body of matter where the total weight of the body may be thought to be concentrated
    • Concept useful in designing static structures or predicting the behavior of a moving body acted on by gravity

    Torque

    • Magnitude given by the equation: τ = rFsinθ
    • Where τ is the torque, r is the distance from the pivot point to the point where the force is applied, F is the magnitude of the force, and θ is the angle between the force and the vector directed from the point of application to the pivot point

    Contact Forces on a Rigid Body

    • Normal force (N): acts perpendicular to the surface of contact between the two objects, prevents interpenetration, and has a magnitude typically equal to the force pressing the objects together
    • Frictional force (F): arises due to microscopic irregularities on the surfaces of the objects in contact, opposes relative motion, and has a magnitude dependent on the normal force and coefficient of friction
    • Applied force (F): any external force exerted directly on the rigid body by another object, can have any direction and magnitude, and is responsible for causing motion, deformation, or internal stresses in the rigid body

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    Description

    This quiz covers the principles of moment of forces, the concept of the center of gravity of a body, types of contact forces on a rigid body, and calculations related to forces acting on a rigid body. Learn about rotational tendencies of forces and how they affect the equilibrium of rigid bodies.

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