1.

The moment of inertia of a rod about an axis through its centre and perpendicular to it is (1)/(12)ML^(2) (where M is the mass and L, the length of the rod). The rod is bent in the middle so that the two halves make an angle 60^(@). The moment of inertia of the bent rod about the same axis would be..........

Answer»

`(1)/(48)ML^(2)`
`(1)/(12)ML^(2)`
`(1)/(24)ML^(2)`
`(ML^(2))/(8sqrt(3))`

SOLUTION :
Moment of inertia of UNIFORM rod about ONE end = `(ML^(2))/(3)`
Moment of inertia of a rod about an AXIS passing through O and perpendicular to the plane of the rod will be
`I.=2((M)/(2))(((L)/(3))^(2))/(3)`
`=(ML^(2))/(4xx3)`
`therefore I.=(ML^(2))/(12)`


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