00:01
Hello everyone, we are going to understand this question here given in the question given there is a hollow sphere having radius r and height h sorry there is a hollow cylinder having radius r and height h radius of cylinder radius is r and height of cylinder that is h and mass of cylinder is given m mass is equal to m so surface mass density of cylinder surface mass density of hollow cylinder that is equal to m upon total area of cylinder that is 2 pi r into h 2 pi r into h this is the mass density of cylinder let's taking a small partial strip so area of partial strip that is highlighted by this color.
01:45
So area of partial strip, partial strip on cylinder that is equal to 2 pi r into d z.
02:25
Area of partial cylinder, area of partial strip on cylinder, that is 2 pi r into d z.
02:33
So mass of partial cylinder mass of partial cylinder that is mass density into area of small stream into 2 pi r into d z here this is capital r.
03:11
I mistakenly i have written a small r but it is capital r we have assumed radius of it is given that radius of cylinder is 2 pi r and 2 d z so 2 pi r and 2 pi r will get cancelled we will get m upon h into d z this is the mass of partial cylinder so moment of inertia of partial cylinder moment of inertia of partial cylinder about axis is equal to d -i is equal to d -m into r -square.
04:19
Now, value of d -m is m upon h into d -z into r -square.
04:30
Now, taking the integration of both sides, taking integration, now integrating both sides, taking the integration of both sides...