Question

Particles of mases m,2m,3m and 4m are held in a rigid light framework at points (0,1,1),(1,1,0) and (-1,0,1) respectively.show that the moment of inertia of the system about the x_axis,y_axis and z_axis are 13,16 and 15 respectively(in appropriate units)

Answer 1

Answer:

ANSWER

∵x

CM

=

m+2m+...+nm

mL+2m×2L+...+nm×nL

=

(1+2+...+n)

L(1

2

+2

2

+...+n

2

)

=L

∑n

∑n

2

=L

2

n(n+1)

6

n(n+1)(2n+1)

=

3

(2n+1)L