Difference between revisions of "Moment"

Revision as of 09:30, 14 October 2018

A moment is the turning effect of a force.

When a force acts on an object with a pivot it becomes a turning force called a moment.

A moment can be calculated by multiplying a force by the distance from a pivot.

The units of a moment are Newton Metres (Nm).

Moments can be used to make Force Multipliers using a pivot and lever.

The longer the lever, the larger the moment that can be produced.


Using moments an effort can be used to lift a load. If the pivot is closer to the load than the effort then the force of effort can be smaller than the load to lift the object.

Moment = Force x Perpendicular distance from the pivot.

\[M = F \times d\] Where:

d = Perpendicular distance from the pivot.

A 20N force of effort is applied at a perpendicular distance of 0.15m from the pivot. Calculate the Moment.	A 20N force of effort is applied at a perpendicular distance of 14cm from the pivot. Calculate the Moment.	A 20N force of effort is applied at a perpendicular distance of 100mm from the pivot. Calculate the Moment.

Force = 20N Perpendicular distance = 0.15m \(M = F \times d\) \(M = 20 \times 0.15\) \(M = 3.0Nm\)	Force = 20N Perpendicular distance = 14cm = 0.14m \(M = F \times d\) \(M = 20 \times 0.14\) \(M = 2.8Nm\)	Force = 20N Perpendicular distance = 100mm = 0.10m \(M = F \times d\) \(M = 20 \times 0.10\) \(M = 2.0Nm\)
A 30N force of effort is applied at a perpendicular distance of 0.18m from the pivot. Calculate the Moment.	A 30N force of effort is applied at a perpendicular distance of 19cm from the pivot. Calculate the Moment.	A 30N force of effort is applied at a perpendicular distance of 200mm from the pivot. Calculate the Moment.

Force = 30N Perpendicular distance = 0.18m \(M = F \times d\) \(M = 30 \times 0.18\) \(M = 5.4Nm\)	Force = 30N Perpendicular distance = 19cm = 0.19m \(M = F \times d\) \(M = 30 \times 0.19\) \(M = 5.7Nm\)	Force = 30N Perpendicular distance = 200mm = 0.20m \(M = F \times d\) \(M = 30 \times 0.20\) \(M = 6.0Nm\)

@@ Line 67: / Line 67: @@
 <math>M = 2.0Nm</math>
+|-
+| style="height:20px; width:200px; text-align:center;" |'''A 30N force of effort is applied at a [[perpendicular]] distance of 0.18m from the pivot. Calculate the Moment.'''
+| style="height:20px; width:200px; text-align:center;" |'''A 30N force of effort is applied at a [[perpendicular]] distance of 19cm from the pivot. Calculate the Moment.'''
+| style="height:20px; width:200px; text-align:center;" |'''A 30N force of effort is applied at a [[perpendicular]] distance of 200mm from the pivot. Calculate the Moment.'''
 |-
 |[[File:MomentHammer1.png|center|200px]]
@@ Line 72: / Line 76: @@
 |[[File:MomentHammer3.png|center|200px]]
 |-
-| style="height:20px; width:200px; text-align:center;" |Text
+| style="height:20px; width:200px; text-align:center;" |
-| style="height:20px; width:200px; text-align:center;" |Text
+Force = 30N
-| style="height:20px; width:200px; text-align:center;" |Text
+Perpendicular distance = 0.18m
+<math>M = F \times d</math>
+<math>M = 30 \times 0.18</math>
+<math>M = 5.4Nm</math>
+| style="height:20px; width:200px; text-align:center;" |
+Force = 30N
+Perpendicular distance = 19cm = 0.19m
+<math>M = F \times d</math>
+<math>M = 30 \times 0.19</math>
+<math>M = 5.7Nm</math>
+| style="height:20px; width:200px; text-align:center;" |
+Force = 30N
+Perpendicular distance = 200mm = 0.20m
+<math>M = F \times d</math>
+<math>M = 30 \times 0.20</math>
+<math>M = 6.0Nm</math>
 |}