for a) why is the moment of inertia of the body taken into account in the total when the body of the cart isnt rotating? for c) Wouldnt the total kinetic energy be (translational KE)+(rotational KE)?

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for a) why is the moment of inertia of the body taken into account in the total when the body of the cart isnt rotating?

for c) Wouldnt the total kinetic energy be (translational KE)+(rotational KE)?

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