3D Physics - Moments

The moment is the turning effect of a force.

moment down

moment about O = F l

where:
symbol
description
type
units
moment effort bivector Nm=newton-metre=kg*m2/s2
F Force vector N=newton=kg*m/s2
l perpendicular distance from pivot vector m

moment angle

moment = F y

A moment is a force multiplied by the perpendicular distance from a pivot or falcrum, the units of a moment are Newton-metres (N m). For equilibrum:

moments clockwise = moments anticlockwise

Example

Find the reactions of the beam shown:

beam forces example

Take moments about R1, for equilibrium,

moments clockwise = moments anticlockwise

2500*1 + 5000*7 = R2*10

R2 = 3750N

forces acting down = forces acting up

2500 + 5000 = R1 + 3750

R1 = 3750 N


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