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Showing posts with the label Rotational motion

Routh's rule.

Answer: The moments of inertia of certain bodies of a regular geometrical shape about any one of their three perpendicular axes of symmetry, passing through their centres of mass may, however, be directly obtained by directly obtained by the application of what is known as Routh's rule.

Moment of inertia.

Answer:- Moment of inertia of a body, about a given axis, is defined as the property of body by virtue of which it is unable to change its uniform rotational motion without the help of an external torque.

What is radius of gyration ?

Answer:- Radius of gyration of a body about an axis is that distance, at which  if whole of the mass of the body were concentrated, it would have same moment of inertia as that of body.[I=MK²].   Where,K= Radius of gyration or effective distance or the radius of the centre of mass of that body.                        

What is angular impulse ?

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Answer:- If in a very small time interval their is a large torque applied on a body then the change in angular momentum of that body is known as angular impulse.(Vector quantity) As,

What is equilibrium ?

Answer:- A rigid body is said to be in equilibrium if   it do not change its state of rest or  uniform motion (linear or rotational) with respect to time. ★If ,    F(external)=0 it implies translatory equilibrium. ★If,      Torque (external)=0 it implies rotatory equilibrium.

What is rigid body ?

Answer:- A rigid body is defined as a solid body in which the particles are compactly arranged so that the inter-particle distance is small and fixed and is not disturbed by any external forces applied.

What is Centre of gravity ?

Answer:- A point where the whole of the weight of a  body is supposed to be acting, is  called centre of gravity. Centre of gravity & centre of mass may be coincident.

What is centre of mass ?

Answer:- Centre of a mass of a body is defined as a single point where whole of the mass of the body is supposed to be concentrated and which behaves in similar manner to external forces as the body would have behaved.It may lie outside the body.

What is Rigid body ?

Answer:- A rigid body consists of a number of particles confined to a fixed geometrical shape and size in such a way that the distance between any pair of particles always remains constant.

What is angular velocity ?

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Answer:- Angular velocity is the angle described by a rotating body per unit time.It is a vector quantity. And is denoted by w(omega)