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Moments in Physics Simplified Revision Notes

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5.4.1 Moments in Physics

Moments and Rotation (Physics Only)

lightbulbExample

Examples of forces causing rotation:

SituationExplanation
Opening a doorThe door is turning on its hinges
SeesawThe seesaw is rotating on a pivot
Spanners and a boltThe spanner turns around the bolt
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Key Points

  • When an object is attached to a pivot it is attached to a fixed point about which the object can rotate:
  • If a force is applied along a line that passes through the pivot, the object will not rotate and remains stationary.
  • If there is a distance between the pivot and the line of action of the force:
  • The object will rotate about the pivot in the direction of the applied force.
  • If the force is not applied perpendicularly to the object, consider the perpendicular distance from the pivot to the line of force to determine the rotational effect.
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The turning effect of a force is called a moment. Moments describe how a force causes an object to rotate around a pivot point.

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The size of a moment determines the extent of the rotation:

  • A larger moment results in a greater rotational effect.
  • A smaller moment results in less rotation.
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Moments can be increased. We can increase the size of a moment by either increasing the force applied, or increasing the perpendicular distance from the pivot. Moments can be decreased. We can decrease the size of a moment by either decreasing the force applied, or decreasing the perpendicular distance from the pivot.

lightbulbExample

Example Bike Riding: Pressing your foot down on the pedal causes a moment about the pivot, turning the pedal arms.

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Formula

Moment of a Force=force×perpendicular distance\text{Moment of a Force} = \text{force} \times \text{perpendicular distance}
image M=FdM = Fd
  • Where the moment of a force, MM, is in Newton-metres NmNm, force FF is in Newtons NN, and distance dd is the perpendicular distance from the pivot to the line of action of the force, in metres mm.

Clockwise and Anticlockwise Moments

Since moments cause objects to rotate, we can classify them by their direction. The two terms that we use to describe the direction of a moment are clockwise and anticlockwise, as in Fig 3.

Moments, Gears and Levers

image

Balancing Moments

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In certain situations, moments can balance each other out and the object will stay still (instead of turning). For this to be the case, the total clockwise moment will be equal to the total anticlockwise moment about a pivot.

If the total clockwise moment doesn't equal the total anti-clockwise moment, the object will rotate:

image

Equilibrium

  • Equilibrium is when the sum of anticlockwise moments = the sum of clockwise moments.
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