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).
liquefication of gases
Consider a particle of energy E is incident from the left on a rectangular potential barrier of height and width and on both sides of this barrier at which means that no force act
explain with the aid of a diagram what is meant by the moment of a force about point
A 5.0-cm-tall object is placed 16 cm from a convex lens with a focal length of 8.4 cm. What are the image height and orientation?
How is the mutual inductance of a pair of coils affected when? (i) Separation among the coils is enhanced? (ii) The number of turns of each coil is enhanced? (iii) A thin
Refracting telescopes, if uncorrected, suffer from chromatic aberration. Chromatic aberration occurs because: a) red light is focused more strongly than blue light b)
to draw v-t graph with variable retardation
The cable will fail when the tension is P54 kN. For a Factor of Safety of 1.5 for the cable, determine the largest vertical load P that the frame will support, and then for that lo
If 3 particles of different mass located at different positions: 1- 1kg position : (0,0) 2- 2kg position: (0,5) 3- 3kg position : (-1,0) If a force of 2 N at 45 degrees is applie
Determine about the rod in magnetic coil the rod is placed in a magnetic coil deliver alternating current, the rod suffers a change within length for each half cycle of alterna
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