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= 80 cm (0.8 m; the radius of rotation is 0.4 m). The barbell spins clockwise with angular speed 92 rad/s. m 10 2 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. Treat the object as two separate balls. Calculate the following quantities. (a) The speed of ball 1 m/s A (b) trans, 1.A of ball 1 (Enter the magnitude.) kg-m²/s (c) Ztrans. 2. A of ball 2 (Enter the magnitude.) kg-m²/s m (d) L (Enter the magnitude.) kg-m²/s (e) the translational kinetic energy of ball 1 J (f) the translational kinetic energy of ball 2 > (9) the total kinetic energy of the barbell I: Treat the object as one barbell. Calculate the following quantities. (h) The moment of inertia I of the barbell kg-m² (i), expressed as a vector rad/s (k) G) of the barbell (Enter the magnitude.) kg-m²/s Krot 3
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= 80 cm (0.8 m; the radius of rotation is 0.4 m). The barbell spins clockwise with angular speed 92 rad/s. m 10 2 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. Treat the object as two separate balls. Calculate the following quantities. (a) The speed of ball 1 m/s A (b) trans, 1.A of ball 1 (Enter the magnitude.) kg-m²/s (c) Ztrans. 2. A of ball 2 (Enter the magnitude.) kg-m²/s m (d) L (Enter the magnitude.) kg-m²/s (e) the translational kinetic energy of ball 1 J (f) the translational kinetic energy of ball 2 > (9) the total kinetic energy of the barbell I: Treat the object as one barbell. Calculate the following quantities. (h) The moment of inertia I of the barbell kg-m² (i), expressed as a vector rad/s (k) G) of the barbell (Enter the magnitude.) kg-m²/s Krot 3
Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter10: Rotational Motion
Section: Chapter Questions
Problem 68P: Two astronauts (Fig. P10.67), each having a mass M, are connected by a rope of length d having...
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