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).
Can you give the S.I unit of electric displacement vector?
applications of nicol prism
Describe working of Heat engine Heat engine is a device by which a system is made to undergo a cyclic process that results in conversion of heat to work. * It having of a
1) The potential energy between two atoms can be represented as follows: where A and B are constants and r the interatomic separation distance in metres. Plot the potential ene
Rotating a Mirror and the Reflected Ray Describing in which when a mirror is rotated through an angle, the reflected ray is rotated through twice that angle. You might drag th
Describe NOR and NAND gates. Provide their truth tables. Discuss the nature of a p-n junction. How does a potential barrier develop at the junction.
deduce an expression for pressure at any point inside a liquid.
A commuter train blows its horn as it passes a passenger platform at a constant speed of 40.0m/s. The train horn sounds at a frequency of 305 Hz when the train is at rest. (a) W
MANUFACTURING: R esistive element is prepared in carbon composition, but the filler used is ceramic powder. The sheet resistance is controlled by changing the quantity of carb
When is the combination of cells advantageous and why? (Mar 2009) What do you mean by internal resistance of a cell? Write down the value of internal resistance of an ideal cell
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