Question: According to the principle of moments, in equilibrium \( {\text{A}}{\text{. Sum of anticlockwi...

Question

According to the principle of moments, in equilibrium
${\text{A}}{\text{. Sum of anticlockwise moments = Sum of clockwise moments}} \\\ {\text{B}}{\text{. Sum of anticlockwise moments > }}{\text{Sum of clockwise moments}} \\\ {\text{C}}{\text{. Sum of anticlockwise moments < }}{\text{ Sum of clockwise moments}} \\\ {\text{D}}{\text{. All}} \\\$

Answer 1

Solution

Hint: The Principle of Moments states that when a body is in a balanced state, the total clockwise moment and the total anticlockwise moment about a point are equal.

Complete step-by-step answer:

Moment- It can be defined as the product of any physical quantity with distance, raised to some power. It is also defined as the turning effect of any quantity. For example, force multiplied with the square of distance shall give us torque. And torque is also referred to as the moment of force. Also, torque is the turning effect caused by a force.

Equilibrium- When a system is in stable state or balance state it is said to be in equilibrium as all the forces acting on the system cancel out each other or say add up to zero.

Principle of moments - The sum of moments of forces add up to zero about a point in the plane of forces. The same statement can be designed in the following ways:

A. The algebraic sum of a system of coplanar forces is in equilibrium, is zero.
B. Positive and negative couples can be balanced as they too will cancel out 0.
C. The algebraic sum of the moments of any two forces about any point is equal to moment of the resultant about the same point

Applications:
A. Pushing the swing to make it rotate.
B. Turning the knob of the door to open it.
C. Steering of a car.
D. Unscrewing the cork of a bottle.

So, basically the principle of moments, defines the null addition of all the rotational effects of forces acting, hence the clockwise and anticlockwise moments of forces add up to zero.
So, the correct option is (A).

Note: It is important to know the physical meaning of moments and then the law.so understand the physical to give answers to this type of questions easily.