badge image

Enroll For Free Now & Improve Your Performance.

×
User Icon
User Icon
User Icon
User Icon
User Icon

Thank you for registering.

One of our academic counsellors will contact you within 1 working day.

Please check your email for login details.
MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: Rs.

There are no items in this cart.
Continue Shopping
Menu
Grade: 12

                        

moment of inertia of a hollow sphere of mass M and inner radius R and outer radius 2R having uniform mass distribution about diameter axis is

3 years ago

Answers : (1)

Arun
24730 Points
							
 

dencity of sphere (d) = M/V

 

V = 4pi/3 ((2r)3 -r3)=4pi (7r3) /3

 

 d = 3M/4pi(7r3)         

 

now , consider a hollow sphere of thickness dx at a distance x from center.....   ( x is in between r to 2r..)

 

mass of this sphere = dm = d(4pix2dx)

 

                          dm= 3Mx2dx/7r3

 

now moment of inertia of this elemental hollow sphere is dI

 

dI = 2dmx2 /3                                              (Isphere (hollow) = 2mr2/3)

 

dI = (2/7)(M/r3)x4dx

 

now integrating

 

I = (2/35)(M/r3)x5  lim r to 2r

 

I = (62/35)Mr2 

3 years ago
Think You Can Provide A Better Answer ?
Answer & Earn Cool Goodies


Course Features

  • 101 Video Lectures
  • Revision Notes
  • Previous Year Papers
  • Mind Map
  • Study Planner
  • NCERT Solutions
  • Discussion Forum
  • Test paper with Video Solution


Course Features

  • 110 Video Lectures
  • Revision Notes
  • Test paper with Video Solution
  • Mind Map
  • Study Planner
  • NCERT Solutions
  • Discussion Forum
  • Previous Year Exam Questions


Ask Experts

Have any Question? Ask Experts

Post Question

 
 
Answer ‘n’ Earn
Attractive Gift
Vouchers
To Win!!! Click Here for details