Final Answer: The moment of inertia of the composite object is . However, this option is not listed in the given choices. There might be a mistake in the problem or in my calculations.
Steps
Step 1 :The moment of inertia of a point mass is given by , where is the mass and is the distance from the axis of rotation. In this case, we have three point masses at different distances from the axis of rotation. We can calculate the moment of inertia of each mass and then add them up to get the total moment of inertia.
Step 2 :The mass is at a distance of from the axis of rotation, the mass is at a distance of from the axis of rotation, and the mass is at a distance of from the axis of rotation.
Step 3 :Calculate the moment of inertia for each mass: , , and .
Step 4 :Add up the moments of inertia to get the total moment of inertia: .
Step 5 :Final Answer: The moment of inertia of the composite object is . However, this option is not listed in the given choices. There might be a mistake in the problem or in my calculations.