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).
i have to make a written project on this topic please tell me something what should i make
what is inertial
When you are talking about relative velocity of A with respect B then it''s like you are observing the motion of A while standing on B. That is, with respect to you, B is at rest.
Consider a current loop where the circulating current is I. This may be for an example of a coil carrying a current. We will assume that the current loop lies within a single plane
examples based on degrees of freedom
siemens; S (after E.W. von Siemens, 1816-1892): The derived SI unit of electrical conductance equivalent to the conductance of any element that contain a resistance of 1 O [oh
#how entropy tells which process is spontaneous and which is non spontaneous.i also wana know that although 2nd law of thermodynamic is for heat engine and heat pump how it is rela
Soft Ferromagnetic substances: Those substances that lose their magnetism are known as soft magnetic substances such as soft iron.
a) You are travelling in a rocket in a totally vacant universe. The rocket is travelling at 100 m.s -1 and accelerates at 10g for 3 minutes. How fast are you travelling at th
A parallel plate capacitor, each with plate area A and separation d, is charged to a potential dissimilarity V. The battery used to charge it is then disconnected. A dielectric sla
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