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Turning Effect of Forces
 

Turning Effect of Forces

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    Turning Effect of Forces Turning Effect of Forces Presentation Transcript

    • TURNING EFFECT OF FORCES MOMENTS
    • Lesson Objectives
      • Identify what are the forces that will give rise to clockwise / anticlockwise moments
      • Calculate clockwise / anticlockwise moments
      • Use the principle of moments to solve problems.
    • MOMENTS What is moments? A force can cause many things to move or stop. When a force causes an object to turn, this turning effect is called moments. Example: A person sitting on a see-saw.
    • MOMENTS What is moments? A force can cause many things to move or stop. When a force causes an object to turn, this turning effect is called moments. Example: A person sitting on a see-saw.
    • Types Of Moments
      • There are 2 types of moments:
      • Clockwise moment
      • Anticlockwise moment
    • Types Of Moments
      • There are 2 types of moments:
      • Clockwise moment
      • Anticlockwise moment
    • Clockwise Moment When a force causes an object to turn in a clockwise direction, it is called a CLOCKWISE MOMENT . To determine if the force causes a clockwise or anticlockwise moment, we have to ignore all other forces acting on the object. When the girl sits on the see-saw, her weight is the force exerted on the see-saw. weight
    • Clockwise Moment When a force causes an object to turn in a clockwise direction, it is called a CLOCKWISE MOMENT . To determine if the force causes a clockwise or anticlockwise moment, we have to ignore all other forces acting on the object. When the girl sits on the see-saw, her weight is the force exerted on the see-saw. weight
    • ANTI-Clockwise Moment When a force causes an object to turn in an anti-clockwise direction, it is called a ANTI-CLOCKWISE MOMENT . To determine if the force causes a clockwise or anticlockwise moment, we have to ignore all other forces acting on the object. When the girl sits on the see-saw, her weight is the force exerted on the see-saw. weight
    • ANTI-Clockwise Moment When a force causes an object to turn in an anti-clockwise direction, it is called a ANTI-CLOCKWISE MOMENT . To determine if the force causes a clockwise or anticlockwise moment, we have to ignore all other forces acting on the object. When the girl sits on the see-saw, her weight is the force exerted on the see-saw. weight
    • CALCULATING MOMENTS Moment = force  perpendicular distance between force and pivot In symbols: Moments = F  d Weight => F d Unit for moments: Newton-metre (Nm)
    • Example 1: A cat of weight 20N stands on one end of a see-saw and the distance between the cat and the pivot is 3m, find the moment. Solution: In this case the cat is causing a clockwise moment. Clockwise moment = F x d = 20 x 3 = 60 Nm F = 20N d = 3m
    • Example 2: A duck stands on one end of a see-saw, 5m away from the pivot. If the weight of the duck is 10N, find the moment. Solution: The duck’s weight is causing an anticlockwise moment. Anticlockwise moment = F x d = 10 x 5 = 50 Nm F = 10N d = 5m
    • Examples which is the distance? Where is the force & pivot? F d d F F d d d F F
    • weight weight Principle of Moments For an object to be in equilibrium(stable/not moving), the total clockwise moment must be equal to the anticlockwise moment about the same pivot point. pivot It is the fixed(non moving) point
    • SOLVING PROBLEMS RELATED TO PRINCIPLE OF MOMENTS Step 1: Identify what are the forces that will give rise to clockwise / anticlockwise moment Step 2: Find the clockwise / anticlockwise moment Step 3: Equate the clockwise and anticlockwise moments
    • Find the value of d.   WORKED EXAMPLE 10N 30N 6m d
    • Step 1: Identify what are the forces that will give rise to clockwise / anticlockwise moment
    • Find the value of d.   WORKED EXAMPLE Anticlockwise moment Clockwise moment 10N 30N 6m d
    • Step 2: Find the clockwise / anticlockwise moment
    •   Clockwise moment = Force x distance between force and pivot = 30 x d = 30d Nm     WORKED EXAMPLE Anticlockwise moment Clockwise moment Anticlockwise moment = Force x distance between force and pivot = 10 x 6 = 60 Nm Find the value of d.   Solution: 10N 30N 6m d
    • Step 3: Equate the clockwise and anticlockwise moments
    • Find the value of d.   Solution:   Clockwise moment = Force x distance between force and pivot = 30 x d = 30d Nm   Anticlockwise moment = Force x distance between force and pivot = 10 x 6 = 60 Nm   Using the principle of moments,   Clockwise moment = Anti-clockwise moment 30d = 60 d = 60  30 d = 2 m WORKED EXAMPLE Anticlockwise moment Clockwise moment 10N 30N 6m d
    • Points to note:
      • The unit for force must be in Newtons, the unit for distance must be in metres.
      • The distance must measured from the force to the pivot.
    •