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).
A ball of mass 0.7 kg is dropped vertically from a height of 10 m onto a concrete floor. The ball is observed to bounce a number of times before coming to rest. The coefficient of
A luminous point object is placed at a depth of 0.5m inside a liquid. A circular patch of light of radius 0.05675 m is prepared on the surface. Determine the critical angle and re
What is time? 1. This is the question that each true scientist dreads to be asked especially in a public setting by extremely inquisitive young learners. We have learned to ca
initial position time the vibration mean time time period of the bob t time
Propagation of an Electromagnetic Wave Electromagnetic waves are waves that can travel by the vacuum of outer space. Mechanical waves, not like electromagnetic waves, need the
Length contraction
Examples of unlike parallel forces
.how can we prove that sn=u+a(1/2)
Mach number is the ratio of velocity of source to the velocity of sound. Mach Number = Velocity of Source / Velocity of Sound .
What is the hall effect? Derive expression for it.
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