+91-87964 74404
FlagBACK
Question icon
Grade Upto college levelMechanics

What is the method of obtaining the moment of inertia of a cylinder of mass M and radius R and length L through

(i) the centre perpendicular to the length

(ii) end faces and perpendicular to the length.

Please explain.

Profile image of Hinan Ali
16 Years agoGrade Upto college level
Answers icon

1 Answer

Profile image of Badiuddin askIITians.ismu Expert
16 Years ago

Dear Hinan ali

we know that

  Iz= mr2/2

and Ix + Iy =Iz

by symmetry Ix =Iy

so Ix =Iz/2

        =mr2/4


and from parallel axix theorem  Ix' = Ix + mx2

  so                                         Ix' = Ix + mL2/4

                                                    =mr2/4 + mL2/4


Please feel free to post as many doubts on our discussion forum as you can.
If you find any question Difficult to understand - post it here and we will get you
the answer and detailed  solution very  quickly.

 We are all IITians and here to help you in your IIT JEE preparation.

All the best.
 
Regards,
Askiitians Experts
Badiuddin


Other Related Questions on mechanics

question mark

Three identical balls are placed on a frictionless horizontal surface touching each other. They stick to each other because of adhesive. Another ball of same radius and mass m is placed over the void created by the three balls. Find the forces applied by the balls kept on the floor to each other if the system remains in equilibrium.

mechanics
1 Answer Available

Last Activity: 10 Months ago

question mark

A car loaded with water having total mass 1000 kg moves on a straight horizontal Road starting from rest under the action of a force of 100 Newton. The water spills throw a small hole in the bottom at a rate of 0.1 KG per second the velocity of cart after 300 seconds is nearly.


11

21

31

41

mechanics
1 Answer Available

Last Activity: 10 Months ago

question mark
A metal strip clamped at one end vibrates with a frequency of 20 Hz and amplitude of 5 mm
at the free end, where a small mass of 2 g is positioned. determine
(i) The velocity of the end when passing through the zero position
(ii) The acceleration at maximum displacement
(iii) The maximum kinetic energy of the mass
mechanics
2 Answers Available

Last Activity: 3 Years ago

question mark
An object of mass m = 0.25 kg oscillates in a fluid at the end of a vertical spring of spring
constant kH = 85 N/m, see Fig.1. The effect of the fluid resistance is governed by the
damping constant b = 0.07kg/s.
(i) Find the period of the damped oscillation.
(ii) By what percentage does the amplitude of the oscillation decrease in each cycle? 
mechanics
1 Answer Available

Last Activity: 3 Years ago

question mark
If a=x² find the displacement at t =3sec if body velocity at t= 0 sec is 0
mechanics
1 Answer Available

Last Activity: 3 Years ago