Physics: Vectors and Equilibrium Forces
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Questions and Answers

What is the formula for finding the horizontal component of a vector?

  • X = R sin θ
  • X = R cot θ
  • X = R cos θ (correct)
  • X = R tan θ
  • In a free-body diagram, should forces exerted by the object itself be included?

  • Yes
  • Depends on the object
  • Only sometimes
  • No (correct)
  • What does the principle of moments state?

  • The sum of clockwise moments is less than anticlockwise moments
  • Moments have no effect on equilibrium
  • The sum of clockwise moments is greater than anticlockwise moments
  • The sum of clockwise moments equals anticlockwise moments (correct)
  • What is a couple in physics?

    <p>A pair of coplanar forces acting parallel to each other but in opposite directions</p> Signup and view all the answers

    When is a body said to be in stable equilibrium?

    <p>When its center of mass is directly below the point of support</p> Signup and view all the answers

    What is the unit for moment in the context of physics?

    <p>$N imes m$</p> Signup and view all the answers

    Study Notes

    Vector Components

    • The horizontal component of a vector can be calculated using the formula: ( V_x = V \cdot \cos(\theta) ), where ( V ) is the vector's magnitude and ( \theta ) is the angle with respect to the horizontal axis.

    Free-Body Diagrams

    • In free-body diagrams, forces exerted by the object itself, such as internal forces, are generally not included. Only external forces acting on the object are represented.

    Principle of Moments

    • The principle of moments states that for a body in rotational equilibrium, the sum of clockwise moments about a pivot point must equal the sum of counterclockwise moments about the same point.

    Couples in Physics

    • A couple consists of two equal and opposite forces acting on an object, creating a rotational effect without causing any translation. The moment of a couple produces rotational motion.

    Stable Equilibrium

    • A body is said to be in stable equilibrium when, if displaced slightly, it returns to its original position. This occurs when the center of mass is at its lowest potential energy state.

    Unit of Moment

    • The unit for moment in physics is Newton-meter (Nm). This unit reflects the force (in Newtons) multiplied by the distance from the pivot point (in meters).

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    Description

    Test your knowledge on vectors, resolving vectors, finding resultant vectors, free-body diagrams, coplanar forces in equilibrium, and forces on inclined planes in physics.

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