3.20 S: Moments

• The formula for calculating a moment is M = Fd
• What is the moment if a 5 N force is applied 0.5 m from a pivot?

  2.5 Nm
• What is the role of perpendicular distance in calculating a moment?

  Measures rotational effect
• What is the unit of moment?

  Nm
• If a 10 N force is applied 0.5 m from a pivot, the moment is 5 Nm
• The moment of a force is measured in Nm
• A moment in physics measures a force's tendency to cause rotation
• What is a moment in physics?

  Measure of rotational tendency
• The distance in the moment formula is the perpendicular distance from the line of action of the force to the pivot point.


  True
• The moment of a force measures its tendency to cause linear motion around an axis.

  False
• The moment of a force is calculated using the formula M = Fd, where d is the distance from the force to the pivot point.


  True
• Equilibrium occurs when the sum of all forces and moments acting on a body is zero.


  True
• What is the perpendicular distance in the moment formula?

  Distance to pivot
• The formula for calculating the moment of a force is M = Fd


  True
• If a 5 N force is applied 0.5 m from a pivot, the moment is 2.5 Nm.
• If a force of 10 N is applied 0.2 m from a pivot, the moment is 2 Nm.
• What is the perpendicular distance in the moment formula M = Fd?

  Distance from pivot
• What are the units for the moment in physics?

  Newton-meters
• What is the moment if a force of 10 N is applied 0.5 m from a pivot?

  5 Nm
• What is the formula for calculating the sum of moments around a pivot point?

  \(\sum M = \sum (F \times d)\)
• What is the reaction force at the support of a beam with a 20 N force 1 m from the pivot and a -10 N force 2 m from the pivot?

  10 N
• Equilibrium occurs when the sum of all forces and moments acting on a body is zero


  True
• A beam with two forces is in equilibrium if the sum of moments around the pivot is zero Nm.
• Match the key component of a moment with its description:

  Force ↔️ Magnitude of the force applied

  Distance ↔️ Perpendicular distance to pivot
• If a 10 N force is applied 0.2 m from a pivot, the moment is 2 Nm
• A 5 N force applied 0.5 m from a pivot results in a moment of 2.5 Nm
• Steps to calculate a moment using M = Fd:

  1️⃣ Identify the force (F) applied

  2️⃣ Measure the perpendicular distance (d) from the line of action of the force to the pivot point

  3️⃣ Multiply the force (F) by the distance (d) to find the moment (M)
• How is the sum of moments calculated?

  ΣM = Σ(F x d)
• A 5 N force applied 0.5 m from a pivot results in a moment of 2.5 Nm.


  True
• A moment is calculated by multiplying the force by the perpendicular distance from its line of action to the pivot


  True
• Steps to calculate moments using the formula M = F x d

  1️⃣ Identify the force (F) applied

  2️⃣ Measure the perpendicular distance (d)

  3️⃣ Multiply F by d to find M
• Match the equilibrium condition with its formula:

  Sum of vertical forces ↔️ \(\sum F_y = 0\)

  Sum of horizontal forces ↔️ \(\sum F_x = 0\)

  Sum of moments ↔️ \(\sum M = 0\)
• Steps to solve problems involving multiple forces and moments

  1️⃣ Sum of vertical forces = 0

  2️⃣ Sum of horizontal forces = 0

  3️⃣ Sum of moments = 0