Forces


   
 
Principle of Moments
If a body is in equilibrium under the action of a number of forces, then the algebraic sum of the moments of the forces about any point is equal to zero.
 
In other words, the sum of the clockwise moments equals sum of the anticlockwise moments when the body is in equilibrium.
 
 
Clockwise moments equal to anticlockwise moments
 
In the figure above,
 
Sum of the anticlockwise moments = Sum of the clockwise moments
 
i.e., (50 x 40) + (100 x 20) + (60 x 10) = (30 x 20) + (100 x 40)
 
 
 
A metre scale is supported at the centre. It is balanced by two weights A and B as shown in figure below, find the distance of B from the pivot.
 
 
Clockwise moment and anticlockwise moment about 50 cm divisions are equal.
 
 
20 x d = 40 x 20
 
Therefore,
 
Hence the 20 N force of B is acting from 90 cm mark.
 
 
The illustration in figure below shows a uniform metre rule weighing 30 N pivoted on a wedge placed under the 40 cm mark and carrying a weight of 70 N hanging from the 10 cm mark. The ruler is balanced horizontally by a weight W hanging from the 100 cm mark. Calculate the value of the weight W.
 
 
 
W x (100 - 40) + 30 (50 - 40) = 70 x (40 - 10)
 
60 x W + 30 x 10 = 70 x 30
 
60 W = 2100 - 300
 
Therefore,
 
 
The illustration in figure below represents a metre scale balancing on a knife edge at 20 cm mark when a weight of 60 N is suspended from 10 cm mark. Calculate the weight of the ruler.
 
 
 
Weight of the ruler is acting from the centre of gravity of the ruler (i.e., the mid point 50 cm)
 
W x 30 = 60 x 10
 
Therefore,
 
 
     
   
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