5.4.1 Moments of a Force

• The moment of a force depends on two factors: the force itself and the distance from the pivot
• The further the force is applied from the pivot, the greater the moment.

  True
• The moment of a force is used in levers and gears to multiply the effect of a force
• Which factor, when increased, results in a greater moment of a force?

  Distance from the pivot
• Arrange the following steps in the correct order to calculate the moment of a force.

  1️⃣ Identify the force and its magnitude

  2️⃣ Determine the distance from the force to the pivot

  3️⃣ Apply the formula: Moment = Force × Distance

  4️⃣ Calculate the moment
• The Principle of Moments is mathematically expressed as $\sum M =$ 0
• What happens to the moments on a seesaw when it is balanced?

  Clockwise = anticlockwise
• What must the total moment around any pivot point be for an object to be in equilibrium and not rotating?

  Zero
• If a seesaw is balanced, the clockwise moment from the heavier person is equal to the anticlockwise moment from the lighter person.


  True
• Match the type of moment with its direction:

  Clockwise moment ↔️ Rotates clockwise

  Anticlockwise moment ↔️ Rotates anticlockwise
• What is the formula for calculating the moment of a force?

  $Moment =$$Force \times Distance$
• What two factors does the moment of a force depend on?

  Force and distance
• A greater force applied to an object results in a greater moment around the pivot.
• Match the type of moment with its sign:

  Clockwise moment ↔️ Positive

  Anticlockwise moment ↔️ Negative
• What is the moment of a force a measure of?

  Turning effect of a force
• The greater the force, the greater the moment of a force.


  True
• What is the formula for calculating the moment of a force?

  $Moment =$$Force \times Distance$
• Which factor, when increased, results in a greater moment of a force?

  Force
• A smaller force applied further from the pivot can produce the same moment as a larger force applied closer to the pivot.


  True
• What does the Principle of Moments state for an object in equilibrium?

  Total moment must be zero
• The summation symbol in the Principle of Moments indicates the total of all moments.


  True
• The Principle of Moments states that for an object to be in equilibrium, the total clockwise moments must equal the total anticlockwise moments around any pivot point.
• What condition is met when the clockwise moments around a pivot point equal the anticlockwise moments?

  Equilibrium
• In an example where the clockwise moment is 200 Nm, the anticlockwise moment must also be 200 Nm for equilibrium.
• Match the component with its description in moment calculations:

  Force ↔️ Magnitude of the force applied

  Distance ↔️ Perpendicular distance from the pivot

  Moment ↔️ Turning effect of the force
• The moment of a force allows levers and gears to amplify the effect of a force.


  True
• What does the Principle of Moments state about clockwise and anticlockwise moments for an object in equilibrium?

  They must be equal
• What is the force exerted by a 50 kg person due to gravity?

  $490 \text{ N}$
• $\sum M$ represents the total moments
• Match the direction of rotation with the type of moment:

  Clockwise rotation ↔️ Positive moment

  Anticlockwise rotation ↔️ Negative moment
• What is the equation for equilibrium in terms of moments?

  $490 \times 2 =$$980 \times x$
• The Principle of Moments is mathematically expressed as $\sum M =$$0$


  True
• Positive moments indicate clockwise rotation, while negative moments indicate anticlockwise rotation

  True
• What is the formula for calculating the moment of a force?

  $Moment =$$Force \times Distance$
• Moment calculations are essential in understanding and designing mechanical systems


  True
• A wrench applies torque to tighten bolts.
• For a balanced seesaw, the clockwise moment equals the anticlockwise moment.


  True
• Positive moments indicate a clockwise rotation


  True
• The formula for calculating moments is $Force \times Distance$Distance
• The Principle of Moments states that for equilibrium, the total clockwise moments must equal the total anticlockwise moments around a pivot