6. Two people are standing on a rotating platform as shown. Each person has a mass...

 

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6. Two people are standing on a rotating platform as shown. Each person has a mass of 70 kg, and hold a metal pole as shown. The centre-of-mass (CM) distance of each person to the pole is d = 0.3 m. Assume that the platform and the metal pole have a negligible mass. For simplicity, you can replace each person with his/her CM point and use the rotational inertia of this point mass in your calculations. If the CM of each person rotates at a tangential speed of 2 m/s, then calculate (a) the magnitude and direction of the total angular mo- mentum, and (b) the rotational energy of this system. (c) If the distance d changed to 0.1 m, what is the new total angular momentum direction and magnitude? (d) What is the tangential speed of the system if d = 0.1 m? (e) What is the new rotational energy of the system if d = 0.1 m? Z (f) How much work is done on the system when d changed from d; 0.3 m to dy = 0.1 m? Note: You must pick your axes carefully and give directions to vector quantities! 6. Two people are standing on a rotating platform as shown. Each person has a mass of 70 kg, and hold a metal pole as shown. The centre-of-mass (CM) distance of each person to the pole is d = 0.3 m. Assume that the platform and the metal pole have a negligible mass. For simplicity, you can replace each person with his/her CM point and use the rotational inertia of this point mass in your calculations. If the CM of each person rotates at a tangential speed of 2 m/s, then calculate (a) the magnitude and direction of the total angular mo- mentum, and (b) the rotational energy of this system. (c) If the distance d changed to 0.1 m, what is the new total angular momentum direction and magnitude? (d) What is the tangential speed of the system if d = 0.1 m? (e) What is the new rotational energy of the system if d = 0.1 m? Z (f) How much work is done on the system when d changed from d; 0.3 m to dy = 0.1 m? Note: You must pick your axes carefully and give directions to vector quantities!