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

Total Price: Rs.

There are no items in this cart.
Continue Shopping
rajan jha Grade: 12
        A non uniform rod AB has a mass M and length 2L. The mass per unit length of the rod is mx at a point of the rod distant x from A. Find moment of inertia of this rod about an axis perpendicular to the rod(a) through A (b) through the mid point of AB.
7 years ago

Answers : (1)

vikas askiitian expert
510 Points

let the rod is placed along x axis and  its end A is at origin........

consider a small element of thickness dx at a distance x from end A..

mass of element is (mass per unit length)(length of this element)


moment of inertia of this element about the axis passing through its  end A and perpendicular to rod is dmx^2



total moment of inertia is integral of dI limit from 0 to 2L

I=integral(mx^3dx)    lim 0 to 2L

 =m (2L)^4 /4

I =4mL^2


7 years ago
Think You Can Provide A Better Answer ?
Answer & Earn Cool Goodies
  • Complete Physics Course - Class 12
  • OFFERED PRICE: Rs. 2,756
  • View Details
  • Complete Physics Course - Class 11
  • OFFERED PRICE: Rs. 2,968
  • View Details

Ask Experts

Have any Question? Ask Experts

Post Question

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