Axis perpendicular to the rod, Physics

Assignment Help:

A non uniform rod AB has a mass M and length 2L the mas per unit length of the rod is mx at a point of the rod distant x from A.find the moment of inertia of this rod about an axis perpendicular to the rod (!)through A (2)through the mid point of AB

Ans) consider a strip of the rod ''dx'' at a length ''x'' from A.mass of the small strip is mx*dx.moment of inertia of the small strip about A IS m*x*dx*x*x.on integrating we get moment of inetia about A as 4*m*L*L*L*L.

ABOUT MID POINT OF AB.consider a strip of length ''dx'' at a distance of x from mid point P.mass of it is m*(L-x)*dx.moment of inertia of half of the rod about P is m*(L-x)*dx*x*x.on integration we get moment of inertia of half of the rod.similarly do for the other half.adding them we get the answer.


Related Discussions:- Axis perpendicular to the rod

Minimum amount of light for low vision, Minimum amount of light for low vis...

Minimum amount of light for low vision If 90 photons enter the eye ,10 or less are actually absorbed in photoreceptors. About 3% are reflected at the surface of the corne

How is absorption occurred in fibre material, How is absorption occurred in...

How is absorption occurred in fibre material? Absorption is associated to the fibre material. It is caused by three diverse mechanisms, which are: a. Absorption by atomic de

Calculate the pressures at points, In this system, d = 6 in., D = 12 in., Δ...

In this system, d = 6 in., D = 12 in., Δz 1 = 6 ft, and Δz 2 = 12 ft. The discharge of water in the system is 10 cfs. Is the machine a pump or a turbine? What are the pressures a

Rolling disc, Rolling Disc Imagine a rectangular tray lying flat on a ...

Rolling Disc Imagine a rectangular tray lying flat on a horizontal table. Suppose in which the tray has vertical sides, and this a plate (or disc) lies flat on the table and r

What is the magnitude & direction of the velocity of package, A helicopter ...

A helicopter is ascending vertically with a constant speed of 6 meters per second relative to the ground.  At the instant the helicopter is 60 meters above the ground it releases a

Describe the working of ultrasonic pulse echo system, Describe the working ...

Describe the working of ultrasonic pulse echo system. The working of ultrasonic pulse echo system: The ultrasonic pulse echo system is utilized to detect flaw, estimate the

Work and energy, how can u call off the potential energy of an object when ...

how can u call off the potential energy of an object when the world is full of refrences and the world itself is relative? what would be the potential energy for a object lying in

Circular motion, A car of mass 800 kg is pulling a trailer of mass 300 kg u...

A car of mass 800 kg is pulling a trailer of mass 300 kg up the slope of angle ? to the horizontal where sine ? = 1/200. Resistance to motion (apart from gravity) is 1.5 N per kg o

Antireflection films and interference filters, Q. What are antireflection f...

Q. What are antireflection films and interference filters?   Ans.   Anti reflecting Films: When a beam of light travels normally from a medium of refractive index µ2 to a me

Find the electric potential, Q. Find the electric potential at a distance 0...

Q. Find the electric potential at a distance 0.09 m from a charge of 4 X 10 -7 C. The electric potential V = ( 1/4πεo ) q /r = ( 9 X 10 9 X 4 X 10 -7 )/ 9 X 10 -2 = 4 X 10

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

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!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd