define moments with example
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• define moments with example
Moments are usually defined with respect to a fixed reference point; they deal with physical quantities located at some distance relative to that reference point. For example, the moment of force, often called torque, is the product of a force on an object and the distance from the reference point to the object.
The moment formula is as follows:
M= F × d
Where,
F - force applied
d - distance from the fixed axis
M - Moment of force
Moment of force formula is applicable to calculate the moment of force for balanced as well as unbalanced forces
Solved Examples on Moment Formula :-
Q.1: A meter-rule of length 200 cm, is pivoted at the middle point. If the weight of 10 N is hanged from the 30 cm mark. Another weight of 20 N is hanged from its 60 cm mark. Then find out whether the meter rule will remain balanced over its pivot or not.
Solution:
According to the principle of moments, for rotational balance, we will have
Total anticlockwise moments = Total clockwise moments
So, we will compute both side moments and then compare their values.
Total anticlockwise moments will be,
Length of lever arm
d1= (50 – 30)
d1 = 20 cm
d1= 0.20 m
Amount of balanced force applied,
F1= 10 N.
So, Anticlockwise moment will be,
= F1×d1= 10 × 0.20= 2 Nm
Now, total clockwise moment will be,
Length of lever arm d2=(60–50)
d2=10cm
d2=0.10m
Amount of balanced Force applied, F2=20N
So, the clockwise moment will be,
= F2×d2
= 20 × 0.10
= 2 Nm
It is obvious that,
total anticlockwise moment = total clockwise moment
Therefore, according to the principle of moments, there will be a rotational equilibrium.