MOMENTS AND COUPLES

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  • Q1: Define Moment. Write its unit and formula.
    Ans: Moment is the turning effect of a force about a point or axis.
    Unit: Newton-meter (N·m)
    Formula:

    Moment = Force × Distance
    M = F × d
  • Q2: State the types of Moment.
    Ans: The types of moments are:
    • ➔ Clockwise Moment
    • ➔ Anticlockwise Moment
  • Q3: Define Line of Action.
    Ans: Line of action is the imaginary straight line along which a force acts.
  • Q4: Define Torque. Write its formula.
    Ans: Torque is the turning effect of a force about an axis.
    Formula:

    τ = F × r
  • Q5: What is Clockwise Torque?
    Ans: Clockwise torque is the turning effect of a force that rotates a body in the clockwise direction.
  • Q6: What is Anticlockwise Torque?
    Ans: Anticlockwise torque is the turning effect of a force that rotates a body in the opposite (anticlockwise) direction.
  • Q7: Define Couple of Forces.
    Ans: A couple of forces consists of two equal and opposite forces acting parallel to each other but in opposite directions, producing rotation only.
  • Q8: State the principle of Moments.
    Ans: The principle of moments states that for a body in equilibrium:
    Sum of clockwise moments = Sum of anticlockwise moments
  • Q9: What is a Lever? What is it used for?
    Ans: A lever is a rigid bar that rotates about a fixed point called fulcrum.
    It is used to lift heavy loads with less effort.
  • Q10: State the principle of Lever.
    Ans: The principle of lever states:
    Effort × Effort arm = Load × Load arm
  • Q11: Name the types of Lever.
    Ans: Types of levers are:
    • ➔ Class I Lever
    • ➔ Class II Lever
    • ➔ Class III Lever
  • Q12: What is Class I Lever?
    Ans: In Class I lever, the fulcrum lies between effort and load.
    Example: Seesaw
  • Q13: What is Class II Lever?
    Ans: In Class II lever, the load lies between fulcrum and effort.
    Example: Wheelbarrow
  • Q14: What is Class III Lever?
    Ans: In Class III lever, the effort lies between fulcrum and load.
    Example: Human arm
  • Q15: State the mechanical advantage of Lever.
    Ans: Mechanical Advantage (M.A) of a lever is:
    M.A = Load / Effort
    Also,
    M.A = Effort arm / Load arm
  • Q16: What is Cranked Lever?
    Ans: A cranked lever is a bent lever used to change the direction of force and provide better mechanical advantage.
  • Q17: State the uses of Cranked Lever.
    Ans: Uses of cranked lever are:
    • ➔ In machines to change direction of motion
    • ➔ In engines
    • ➔ In mechanical presses
  • Q18: What is Steel Yard?
    Ans: A steel yard is a weighing device that uses the principle of moments to measure weight using a movable counterweight.
  • Q19: What is a Lever Safety Valve?
    Ans: A lever safety valve is a device used in boilers to release excess pressure using a lever and weight system.
  • Q20: Describe the working principle of Safety Valve.
    Ans: A safety valve works on the principle of moments.
    When pressure inside the boiler increases beyond limit, it lifts the valve against the weight and releases steam, preventing explosion.
  • Q21: The mechanical advantage of a lever is 5. If its effort arm is 3m, find Load arm.
    Ans: Given:
    M.A = 5
    Effort arm = 3 m

    Formula:
    M.A = Effort arm / Load arm

    5 = 3 / Load arm

    Load arm = 3 / 5 = 0.6 m

    Final Answer:
    Load arm = 0.6 m
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appliedmechanics — chapter-3 | GCT Notes