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As with many other physical quantities, you need to use integration.
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Why does a rigid body has frequency?
because a rigid body can vibrate.
How does a rigid body differ from an elastic body?
An elastic body will stretch when loaded. A rigid body willl not. A rigid body is a theortical body only in which stiffness is infinite.
What object is rigid?
A Rigid body is defined as a system of particles which does not deform.
How is mass related to inertia?
the greater the mass, the greater will be the inertia produced in the body when the force is applied on it.
Is the body of euglena rigid or flexible?
Flexible
What is inertia torque?
Inertia torque an imaginary torque, which when applied upon a rigid body, brings it in an equilibrium position. Its magnitude is equal to accelerating couple, but opposite in direction.T1 = -IαwhereI = mass moment of inertia of body andα = angular acceleration
What is the difference between mass moment of inertia and area moment of inertia?
mass moment of inertia is the property of the body to resist rotation about the given axis where as the area moment of inertia is the resistance to bending about the given axis
Relation between stress and moment of inertia?
is a resisstance of a body is called inertia
What increase the moment of inertia?
A rotating body that spins about an external or internal axis (either fixed or unfixed) increase the moment of inertia.
Can one body have any number of moment of inertia?
It depends upon the velocity with which the object is travelling.... Higher the velocity, higher will be the moment of inertia.....
What variables contribute to moment of inertia?
The axis about which the body is being rotated and the geometry of the body are important. The further away material (in terms of area) is from the centroid of the body the higher the moment of inertia will be, which is why an I-beam is good in bending. If it's the mass moment of inertia which is used in dynamics for Euler's angular momentum equation. Then the mass of the body is important. The further away mass is from the axis of rotation the greater the mass moment of inertia will be. This is why when a figure skater pulls their arms into her body during a spin she begins to spin faster. The mass of their arms is now closer to their axis of rotation lowering their mass moment of inertia and decreasing their resistance to rotation.
What is the use of moment of inertia?
moment of inertia is the rotational equivalent of mass. it is given by I= Mk2 moment of inertia in rotational motion play the same role as mass in linear motion, that is in linear motion f = ma while in rotation, torque= I*Angular acceleration where I is the moment of inertia
What is physical meaning of moment of inertia?
physically it means that how difficult it is to shear a body
What is rotational analog?
The rotational analog is 2nd of newtons law it is the angular acceleration of a rigid object around an axis is proportional to the next external torque on the body around its axis and inversely proportional to the moment of rotational inertia about that axis.
What is different between inertia and moment of inertia?
The ability of a body to maintain its state, either in motion or in rest position against any external force is called Inertia while the moment of inertia is defined as the measure of an object's resistance to any change in its state of rotation.
What is moment of inertia and its importance in civil engineering?
The moment of inertia (writen I, with an indice indicating the axis in which it is expressed) mesures the opposition any kind of body will have against a certain momentum (along that same axis) trying to rotate that body
Moment of inertia of parallel axis?
This is known as parallel axes theorem. Statement: If IG be the moment of inertia of a body of mass M about an axis passing through its centre of gravity, then MI (I) of the same body about a parallel axis at a distance 'a' from the previous axis will be given as I = IG + M a2
