Question

In the figure below a barbell spins around a pivot at its center at A. The barbell consists of two small balls, each with mass 200 g (0.2 kg), at the ends of a very low mass rod of length d=60 cm (0.6 m; the radius of rotation is 0.3 m). The barbell spins clockwise with angular speed 82 rad/s.

We can calculate the angular momentum and kinetic energy of this object in two different ways, by treating the object as two separate balls or as one barbell. Use the usual coordinate system, with x to the right, y toward the top of the page, and z out of the page, toward you.
I: Treat the object as two separate balls. Calculate the following quantities.

(a)   L→trans, 1⁢, A of ball 1 expressed as a vector
(b)   L→trans, 2⁢, A of ball 2 expressed as a vector

(c)   L→tot,  A expressed as a vector

(d) ω→ expressed as a vector

(e) L→rot of the barbell expressed as a vector

Answer 1

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