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 cheetah can reach a top speed of 27.8 m/s in 5.2 s. What is the cheetah's average acceleration?
A medium is characterised by relative permittivity ε r =45 and relative permeability μ r =5. Determine the speed of e-m wave in the refractive and medium index of the medium.
For this circuit which of the subsequent shows a correct way to connect a voltmeter to measure the voltage across R2? Answer: An perfect voltmeter has infinite resis
what is electrostatic shielding
Which phrase would be incorrect to use: (1)A molecular of a compound (2)A molecule of an element (3)An atom of an element (4)None of these Ans: (2)A molecule of a
Define the Tea in Thermos? One liter of tea at 90° C is poured keen on a vacuum-insulated container (thermos). The surface area of the thermos walls A=600 cm 2 . The volume am
A step-up transformer works on 220V and gives 2A to an external resistor. The turn ratio between the secondary and primary coils is 2 : 25. Assuming 100% efficiency, Determine the
according to the first law of thermodynamics , obtain the relationship between specific hears of gases
Describe capacitance or capacity of a conductor and illustrate the principle of capacitor. Derive the mathematical equation for equivalent capacitance (Capacity) When a number o
If the angle of incidence is 60 degrees,then what is the angle of deviation?
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