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Aatreya Sarma
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What is meant by moment of particles ? Why the algebraic sum of moments of all particles about centre of mass must be zero ?
The moment of particles refers to the rotational effect that a particle has on a body or system. It is a measure of the tendency of a particle to cause a rotation about a specific axis.
The moment of particles is calculated by multiplying the force applied to the particle by the distance from the point of rotation to the line of action of the force. This can be represented mathematically as M = F x d, where M is the moment, F is the force, and d is the distance.
The moment of particles and torque are often used interchangeably, but there is a slight difference between the two. Torque refers to the rotational effect of a force on an object, while the moment of particles specifically refers to the rotational effect of a particle on a body or system.
The moment of particles is directly affected by the position of the particle. The farther away the particle is from the point of rotation, the greater the moment of particles will be. This is because the distance (d) in the equation for calculating the moment of particles has a direct effect on the overall value.
Understanding the moment of particles is important in many fields, such as engineering, physics, and mechanics. It is used in designing structures and machines to ensure they can withstand external forces without breaking or tipping over. It is also important in understanding the stability and balance of objects and systems, such as in sports and transportation.