Explain radius of gyration, Physics

Assignment Help:

Radius of gyration may be explained as the distance from the axis at which, if the entire mass of the object were to be concentrated, the moment of inertia would be the same about the given axis as with its real distribution of mass.

Let Consider a rigid object consists of n particles of every of the mass m. Let r1, r2, ...... rn be the perpendicular distances of these elements from the axis of motion. Then

1799_22.png

Thus, radius of gyration of an object about an axis is similar to the root mean square distance of the constituent particles from the given axis.

 

 


Related Discussions:- Explain radius of gyration

Total internal reflection, Total Internal Reflection: When a ray of li...

Total Internal Reflection: When a ray of light passes from denser medium to rare medium and angle of incidence is greater than the critical angle. The incident ray reflects ba

Kinematics, the maximum height attained by a projectile and its horizontal...

the maximum height attained by a projectile and its horizontal range are equal to each other if the projectile projected at an angle [theta] given by ?

Quandom physics, what is scanning & transmission electron microscope

what is scanning & transmission electron microscope

Rutherford’s gold - foil experiment , An α particle is a positively charged...

An α particle is a positively charged particle. Rutherford observed the behaviour of these particles when they approach the interior of the atoms as shown in fig.  Rutherford ob

Watt, Watt; W (after J. Watt, 1736-1819): The derived SI unit of power...

Watt; W (after J. Watt, 1736-1819): The derived SI unit of power, explained as a power of 1 J acting onto a period of 1 s; thus it has units of J/s.

Short- distance radiotherapy or brachytherapy, Short- distance radiotherapy...

Short- distance radiotherapy or brachytherapy: The advantage:   it gives a very large dose to the tumor with a minimum  radiation to the surrounding normal tissue. Disadva

Discuss about the single-mode fibre in short, Discuss about the Single-mode...

Discuss about the Single-mode fibre in short. Single-mode fibre: A single-mode fibre consists of a narrow core (8 to 10µm) and refractive index in between the core and cladd

What is the range of the angles of the incident rays, Q . Figure shows acro...

Q . Figure shows across (b)What is the answer if there is no outer covering of the pipe? Answer Reflection, r max = 90 0 -i=90 0 -59 0 =310     Let, i max  b

Characteristics of resistance, Characteristics of resistance:- Similar ...

Characteristics of resistance:- Similar amount of current passed by each resistance i.e. I = I1 = I2 = I3 = I4 ........ The sum of potential difference across individual res

Moment of inertia of rigid bodies, Moment of Inertia of Rigid Bodies : For ...

Moment of Inertia of Rigid Bodies : For a continuous mass distribution like found in a hard object, we remove the summation of Eq. (ii) by an integral. If the object is separated i

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd