Calculus Question

Question

Which is the moment of inertia of the following system about the y-axis of the system

 

m1 = 6 at (2, 1)

 

m2 = 9 (-3, 6)

 

m3 = 11 (2, 9)

Answer 1

Write the Moment Of Inertia about the y-axis as 9(-3)² + 11(2)² + 6(2)² or 149.

If 9, 11, and 6 are masses in kilograms and -3, 2, and 2 are distances in meters,

then the Moment Of Inertia about the y-axis would be equal to I_y expressed as 149 kg•m².