Moments

This lesson covers:

  1. What a 'moment' is
  2. The moment equation: ï»¿M=FdM=Fd
  3. Balanced moments in seesaws

A moment is the rotational or turning effect of a force.

The formula a for moment is:

M=mvM=mv

M=FeM=Fe

M=FdM=Fd

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In the formula: 


M=FdM=Fd


dd is the perpendicular distance between the force and the pivot.


Diagram showing the perpendicular distance between the force and the pivot using a wrench and a hex nut.

The units for moment are:

Metres (m)

Newtons per metre (N/m)

Newtons (N)

Newton metres (Nm)

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An object is rotated with a force of 5 N at a perpendicular distance of 0.4 m from the pivot. 


What moment is generated?

2

Nm

Nm

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A force of 4 N is applied to an object, generating a moment of 20 Nm.


What is the object's perpendicular distance from the pivot?

5

m

m

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/

1

In a balanced seesaw, the total clockwise moment is ________ the total anti-clockwise moment.

less than

equal to

more than

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Illustration of a seesaw with a walrus weighing 12,000 N on one side and a cow weighing 10,000 N on the other side, 2.4 m from the pivot.


A cow weighs 10,000 N and is sitting on a seesaw 2.4 m from the pivot.


A walrus weighs 12,000 N and is sitting on the other side of the seesaw.


The seesaw is balanced.

What is the moment generated by the cow?

24000

Nm

Nm

[0/1]

The moment generated by the cow is:

Clockwise

Anti-clockwise

[0/1]

As the seesaw is balanced, the clockwise moment generated by the cow will equal the anti-clockwise moment generated by the walrus.


Thus, the moment generated by the walrus must also be 24,000 Nm.

What is the distance of the walrus from the pivot?

2

m

m

[0/1]

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3

Diagram showing a lion weighing 6000 N sitting on a seesaw 1.8 m from the pivot, balanced by a group of people weighing 9000 N on the other side.

A lion weighs 6,000 N and is sitting on a seesaw 1.8 m from the pivot.


A group of people are standing on the other side of the seesaw, they weigh a combined total 9,000 N.


The seesaw is balanced. What is the distance of the group of men from the pivot?

1.2

m

m

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What units do we use to measure moments?

Newtons (N)

Newton metres (Nm)

Newtons per metre (N/m)

Metres (m)

0

/

1