An object is made up of three masses connected by massless rods of fixed length. Mass A is located at (30.0 cm, 0 cm) and has a mass of 250 grams, mass B is located at (0 cm, 40.0 cm) and has a mass of 350 grams, mass C is located at (-20.0 cm, 0 cm) and has a mass of 450 grams. What is the moment of inertia of this object about an axis perpendicular to the x-yplane and passing through the origin

Question

Urijah Woodward

Physics

22 January, 00:21

An object is made up of three masses connected by massless rods of fixed length. Mass A is located at (30.0 cm, 0 cm) and has a mass of 250 grams, mass B is located at (0 cm, 40.0 cm) and has a mass of 350 grams, mass C is located at (-20.0 cm, 0 cm) and has a mass of 450 grams. What is the moment of inertia of this object about an axis perpendicular to the x-yplane and passing through the origin

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Answers (1)

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Mariyah Skinner · Answer 1

0.0605 Kg m^2

Explanation:

In this case where we have find he moment of inertia of this object about an axis perpendicular to the x-y plane and passing through the origin, we can just add three moment of inertia's.

MOI = 0.25*0.3^2 + 0.35*0.4^2 - 0.45*0.2^2

= 0.0605 Kg m^2