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Three mass points m(1)m(2) amd m(3) are ...

Three mass points `m_(1)m_(2)` amd `m_(3)` are located at the vertices of an equilateral triangle of length a. What is the moment of inertia of the system about an axis along the altitude of the triangle passing through `m_(1)`?

Text Solution

Verified by Experts

`I= underset(i=I) overset(n) sum m_(i)r_(i)^(2)`
`=m_(1)xx0+m_(2)xx(BD)^(2)m_(3)xx(DC)^(2)`
`=0+m_(2)((a)/(2))^(2)+m_(3)((a^(2))/(2))`
`I=(1)/(4)(m_(2)+m_(3))a^(3)`
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Knowledge Check

  • Three particles each of mass m are placed at the three corners of an equilateral triangle of side a. The work done on the system to increase the sides of the triangle to 2a is:

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    B
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