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define moments with example ​

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Answered by rupandeepkaur75
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Answered by MrPoizon
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define moments with example

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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.

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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.

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