Moment, centre of mass and centroid, Physics

Moment, Centre of mass and Centroid

Moment of force is tendency of the force to twist or rotate an object. A measure of the body's resistance to the angular acceleration, which is equal to:

1)    The product of the mass of a particle and square of its distance from a reference.

2)    The sum of the products of each mass element of a body multiplied by square of its distance from an axis.

3)    The sum of the products of each element of an area multiplied by square of its distance from a coplanar axis.

As a rotating body spins about an external or internal axis, it opposes any change in the body's speed of rotation that can be caused by a torque. It can be defined as the sum of the products obtained by multiplying the mass of each particle of matter in a given body by the square of its distance from the axis of rotation. The moment of inertia of a figure about a line is the sum of the products formed by the magnitude of each element by the square of its distance from the line. The moment of inertia of the figure is sum of the moments of inertia of its parts.

The center of mass is the mean location of all mass in the system. In the case of the rigid body, the position of center of mass is fixed in the relation to the body. The position of center of mass is a point in space among them which can not correspond to position of any individual mass. The center of mass of a body does not coincide generally with its geometric center. The center of mass (and center of gravity in a uniform gravitational field) is the average of all points, weighted by the specific weight. If the physical object has uniform density, then its center of mass is same as the centroid of its shape. The center of mass of a 2-particle system lies on the line connecting particles. The center of mass is closer to massive object.

Posted Date: 9/14/2012 10:34:20 AM | Location : United States







Related Discussions:- Moment, centre of mass and centroid, Assignment Help, Ask Question on Moment, centre of mass and centroid, Get Answer, Expert's Help, Moment, centre of mass and centroid Discussions

Write discussion on Moment, centre of mass and centroid
Your posts are moderated
Related Questions
A Newton is equal to which of the following? a)  kilogram-meter per second b)  meter per second squared c)  Kilogram-meter per second squared d)  Kilogram per

what is resistor filter?

Major steps for analyzing forces in uniform circular motion: Let consider one axis along the radius of circle (i.e. in direction of acceleration) and other axis perpendicular to th

example of problems of vector and scalar with solution

A modern turbofan engine in a commercial jet takes in air, part of which passes through the compressors, combustion chambers, and turbine, and the rest of which bypasses the compre

A 30-g car rolls from a hill 12 cm high and is traveling at 154 cm/s as it travels along a 275 cm horizontal track. What is the momentum of the car?

Magnitude of K.E. in an orbit is equal to: (1)Half of the potential energy     (2)Twice of the potential energy       (3)One fourth of the potential energy   (4 ) None

Q. Is air travel time the similar whether or not the plane is flying with or against the rotation of the Earth? Answer:- All air travel gets the earth's rotation into acco


Illustrate the A and B coefficients of Einstein in shortly. Einstein’s A and B coefficients: Einstein suggested a mathematical expression for the existence of stimulated emi