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Questions  

With reference to figure of a cube of edge a and mass m, which of the following is the correct statement? (O is the centre of the cube)

 

 

 

 

a
The moment of inertia of cube and z' is       Iz' = IZ+ ma22
b
The moment of inertia of cube about z''IZ+ma24
c
Ix =2 Iy
d
2Ix=IZ

detailed solution

Correct option is A

As z axis is parallel to z' axis and distance between them = a22 = a2By the theorem of parallel axis,Iz' = Iz + m(a2)2 = IZ + ma22Hence, option (1) correct.z and z'' are not parallel axes. Hence, option (2) is incorrect.By symmetry, Ix = Iy. Hence, option(3) is not correct. Again  IX = 1/6 ma2 +m(a/2)2 =5/12 ma2 and Iz =1/6 ma2.So option (4) is wrong.

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