Statics
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Questions and Answers

If a box weighing 1 ton is placed on a floor with a coefficient of friction of 1/4, what is the minimum force required to start the box moving?

  • 600 Kgf (correct)
  • 800 Kgf
  • 1000 Kgf
  • 400 Kgf

    • A block of mass 2 Kg slides down a rough inclined plane starting from rest at the top. If the inclination of the plane to the horizontal is θ with tan θ = 4, what is the acceleration of the block?

  • 6.1 m/s^2 (correct)
  • 4.9 m/s^2
  • 7.3 m/s^2
  • 8.5 m/s^2

    • A force of 600 Kgf is required to support a block on an inclined plane whose slope is 60°. What is the weight of the block?

  • 4 tons
  • 1 ton (correct)
  • 3 tons
  • 2 tons

    • If the coefficient of friction between the floor and a box is 1/3, what is the minimum force required to start the box moving if the box weighs 2 tons?

    <p>667 Kgf</p> Signup and view all the answers

    A block is placed on a rough inclined plane whose slope is 30°. If the coefficient of friction is 1/3, what is the force required to support the block?

    <p>2/3 W</p> Signup and view all the answers

    If three forces acting at a point are in equilibrium, what is the relationship between the forces?

    <p>Each force is proportional to the sine of the angle between the other two.</p> Signup and view all the answers

    What is the resultant of the forces acting on a particle represented by ABCDE?

    <p>3 AE</p> Signup and view all the answers

    What is the condition for equilibrium of three forces acting at a point?

    <p>The forces are proportional to the sine of the angles between them.</p> Signup and view all the answers

    What is the moment of a couple about a point?

    <p>The sum of the moments of the forces about the point.</p> Signup and view all the answers

    If a horizontal force F is applied to a small object P of mass m on a smooth plane inclined to the horizon at an angle θ, what is the condition for equilibrium?

    <p>F = mg tan θ</p> Signup and view all the answers

    What is the branch of mechanics that deals with the study of systems of forces in equilibrium?

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

    What are the four necessary things to specify a force completely?

    <p>Magnitude, direction, sense, and point of application</p> Signup and view all the answers

    What is the resultant of two forces, P and Q, acting at a point, represented by the diagonal of the parallelogram?

    <p>The vector sum of P and Q</p> Signup and view all the answers

    If two forces, P and Q, are perpendicular to each other, what is the resultant force?

    <p>$\sqrt{P^2 + Q^2}$</p> Signup and view all the answers

    If P = Q, what is the angle that the resultant force makes with the direction of force P?

    <p>$\alpha/2$</p> Signup and view all the answers

    What is the magnitude of the moment of a force about a point O?

    <p>F.p</p> Signup and view all the answers

    If P is moved parallel to itself through a distance x, what is the expression for the resultant of P and Q?

    <p>Px P+Q</p> Signup and view all the answers

    What is the S.I unit of moment of a force?

    <p>Newton-meter</p> Signup and view all the answers

    What does the moment of a force about a point measure?

    <p>Tendency of the force to cause rotation about that point</p> Signup and view all the answers

    What is the expression for the moment of a force about a point O in terms of the area of the triangle formed by the force and the point?

    <p>2 × (area of the triangle)</p> Signup and view all the answers

    What is the direction in which the force F1 tends to turn the lamina?

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

    What is the algebraic sum of the moments of any two coplanar forces about a point, according to Varignon's theorem?

    <p>Zero about any point in their plane</p> Signup and view all the answers

    What is the characteristic of a couple that distinguishes it from other systems of forces?

    <p>The forces are equal and unlike, but do not have the same line of action</p> Signup and view all the answers

    What is the physical quantity that is considered positive when its direction is anticlockwise, and negative when its direction is clockwise?

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

    What is the term for the perpendicular distance between the lines of action of the forces forming a couple?

    <p>Arm of the couple</p> Signup and view all the answers

    What is the direction of the resultant force when two forces of equal magnitude act at an angle?

    <p>Perpendicular to the bisector of the angle between the two forces</p> Signup and view all the answers

    What is the condition for the resultant of two forces P and Q to act along the direction of P?

    <p>P &gt; Q</p> Signup and view all the answers

    What is the component of a force R in a direction making an angle α with the line of action of R?

    <p>R sin α</p> Signup and view all the answers

    What is the resultant of two forces P and Q acting at a point O in directions OA and OB, represented by λ.OA and μ.OB respectively?

    <p>(λ + μ).OC</p> Signup and view all the answers

    What is the angle made by the resultant force with the direction of force P when the resultant force R of two forces P and Q acting at an angle α makes an angle θ with the direction of P?

    <p>tan^(-1)(Q sin α / P + Q cos α)</p> Signup and view all the answers

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