Suppose a friend is completing another physics assignment intheir chair at their desk and you take the opportunity to turn thisscenario into the physics question you now must complete. Yourfriend and chair have a combined constant moment of inertia of 4.6kg m2, and the chair can freely rotate. Now your friend picks uptwo solid bricks (each of mass 1.4 kg) they accidentally collectedfrom one of the campus buildings, and experiment with rotationalkinematics. Supposing they hold the masses in each hand, armsoutstretched, at distance of 0.7 m from their axis of rotation, andhave an initial angular speed of 2.7 rev/s.
a) Calculate the distance in m of each brick from your friend’saxis of rotation if they pull the bricks inward such that theirrotational speed has increased to 3.2 rev/s.
Answer: 0.396
b) What is the initial rotational kinetic energy of thesystem?
Answer: 21.76794
c) What is the final rotational kinetic energy of thesystem?
Answer: 25.79904
Could you please write down the full solution?