Topic - Advanced Physics Lab
00Angular MomentumAngular Momentum4105870133350mvrOrigin0mvrOriginSeed Question: A small cube of mass m moves to the right with a constant velocity v as shown (without rotating). What is the angular momentum of the cube with respect to the origin? How does the angular momentum change as the cube gets farther away from the origin?Exploration: 336486569215mvrOriginv= v sin 00mvrOriginv= v sin 1. Find the formula for the angular momentum of a particle starting from L=I ωHint: Find I.Find using this diagram.Putting it all together…332295541910mvrArbitrary Originr = r sin 00mvrArbitrary Originr = r sin 2. Show that the angular momentum is constant for a particle travelling with constant velocity relative to any origin over time.3. What would it take to change the angular momentum in the prob above?This is a bit of foreshadowing of the conservation of …4. Who is the dominant contributor to the angular momentum of the solar system, the Sun or Jupiter, with respect to a point at the center of the Sun? Ignore the contribution to the angular momentum from Jupiter's rotation on its axis: it is insignificant compared with its orbital angular momentum. Assume the Sun has uniform density and rotates as if it were solid. MSun = 2.0 x 1030 kgRSun = 7.0 x 108 m TSun's equator = 26 daysMJupiter = 1.9 x 1027 kg rJupiter's orbit = 7.8 x 1011 mTJupiter's orbit = 12 yearsBig Idea: Definition of angular momentum:For particles: l=r × p where r originates from an origin of your choiceFor extended objects: L=I ωUse the right-hand rule to find the direction of these vectors.The angular momentum is constant in the absence of any external torque.Discussion: ................
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