Already have an account? Get multiple benefits of using own account!
Login in your account..!
Remember me
Don't have an account? Create your account in less than a minutes,
Forgot password? how can I recover my password now!
Enter right registered email to receive password!
Q. Moment of Solid Sphere About Axis?
The instant of enertia for a homogeneous solid sphere about an axis can be found by integrating spherical shells by integrating disks or by solving the equations for the moment of an element of mass throughout the volume. We will utilize the latter.
The instant of a mass element is I = ∫V l2dm, where dm = ρ dV l is the distance of the element from the axis and ρ is the mass density. Note that the distance to an element from the centre of the sphere is r and l = r sin θ where θ is the angle between the axis and the radius, The volume element dV is
dV = (2π l)(dr)(r dθ) = 2πr2 sinθ dr dθ.
ρ =m/V =m/(4/3(π R3))
And dm = ρdv the moment of inertia is
I = ∫l2dm = ∫ (r sin θ)2ρdV.
It is convenient to alter the variable of integration from θ to - cos θ.
Let x = - cos θ Then the limits of the above integral become
The corresponding integral is
Finally,
I =2/5(mR2).
Figure shows the frequency spectrum of a signal at 1184kHz displayed by a high-speed virtual DSO. Determine (a) The harmonic relationship among the signals marked 'o' and 'x',
In calculating the integral that one evaluates in applying the Biot-Savart Law one is Answer: The Biot-Savart Law itself written in discrepancy form gives the infinitesimal
what is gravitional constant? mention its SI value
For a very every case the moment of inertia of a one particle about an axis is given by, I = mr 2 Here, m is the mass of the particle and r its distance from the axis under
What is a Newton meter? A unit of energy also called a Joule. When a force of 1 Newton is applied on an object for a distance of 1 meter then 1 Joule of energy is used. It is t
What is the hardness of water? How is it expressed? Hardness is the property of water which stops lather formation with soap. This is because of the presence of certain salts o
A bar has a 20N weight at one end. You have a weight of 15N to hang somewhere on the bar so that the bar is in equilibrium. Where would you hang the 15 N weight on each of these ba
how to use instruments like Vernier calipers and micro screw gauge to measure round objects
Explain quasi-static isothermal expansion A method is reversible only if it is quasi-static and non dissipative. E.g. A quasi-static isothermal expansion of an ideal gas
What is the maximum wavelength of the visible spectrum so that 3 rd order spectrum can be obtained by a plane diffraction grating having 5654 lines/cm?
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!
whatsapp: +91-977-207-8620
Phone: +91-977-207-8620
Email: [email protected]
All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd