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Caculate the mass of inertia about an axis with an angle of 30 of a massless string.

Caculate the mass of inertia about an axis with an angle of 30 of a massless string.

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Grade:11

1 Answers

Vikas TU
14149 Points
5 years ago
Moment of inertia is the sum of total moment of inertia of all particles along MN axis.
and it is defined as the product of masses with the square of perpendicular distances of masses to the line MN.
Therefore,
net MOI = m*(Lsin30)^2 + 2m*(Lsin60)^2 + 3m*(Lcos30)^2 + 4m*(Ltan30)^2 
            = mL^2/4 + 3mL^2/2 + 9mL^2/4 + 4mL^2/3
           = 11ml^2/2.

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