0 10 20 30 x(cm) Four masses are arranged as shown. M₁=3 kg at (0,0)cm. M₂-5 kg at (10,0)cm. M4-5 kg at (30,0)cm. M3-3 kg at (20,0)cm. The masses are connected by a light rod of negligible mass. a.) Calculate the moment of inertia if the masses rotate around the y-axis (M₁ is the center of rotation). b.) The object is rotating about the y-axis with w = 6 rad/s. Find the tangential velocities of each separate mass. Show that the sum of the kinetic energies of the individual masses equals the rotational energy of the entire system:Σ=₁m₁ v² = 1/1w². c.) If 0.5 J of work is done to this system, what is the new angular velocity, w?

0 10 20 30 x(cm) Four masses are arranged as shown. M₁=3 kg at (0,0)cm. M₂-5 kg at (10,0)cm. M4-5 kg at (30,0)cm. M3-3 kg at (20,0)cm. The masses are connected by a light rod of negligible mass. a.) Calculate the moment of inertia if the masses rotate around the y-axis (M₁ is the center of rotation). b.) The object is rotating about the y-axis with w = 6 rad/s. Find the tangential velocities of each separate mass. Show that the sum of the kinetic energies of the individual masses equals the rotational energy of the entire system:Σ=₁m₁ v² = 1/1w². c.) If 0.5 J of work is done to this system, what is the new angular velocity, w?

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter8: Central-force Motion

Section: Chapter Questions

Problem 8.9P

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