Questinnlll [25 marks] Thefollowing gure shows the configuration of an experiment on rotational motion study in which a thin uniform metallic spin…

Please answer this question for me, and d6 is 4. Thanks!!

Questinnlll [25 marks] Thefollowing figure shows the configuration of an experiment on rotational motion study in which athin uniform metallic spin table of radius R = {0.5 + 0.1 x d5} m and mass M = 2 kg, is rotating at a content speed from rest along a vertical axis via a tiny ball bearing with neligible friction. THREE solid metallic balls each with radius r= 0.1 m and mass m = 0.5 kg, are connected to the rim ofthe spintable by three 9.5 m long strings respectively and the whole setup is fenced by a circular boundarywall with diameter D = 4 R. top view At the beginning, the spin table starts from rest and increases its angular velocity gradually up to thepoint where the connecting strings with solid balls make an incline angle offlwith the vertical axisas shown in the figure. Afterward s, the spin table keeps rotating at this constant speed and starts tolower its height steadily to let the balls in contact with the ground. Just before touching the ground,the m connecting strings would be cut loose by the system and all the balls are set free to rillWing on the ground along their respective tangential velocity direction until hitting on andbouncing back from the circular boundary wall. Assume air resistance is negligible, then calculatethe followings: – la} The required angular velocity run and tension Tto make the connecting strings with solid ballshave an incline angle of 30° with the vertical axis. (4 marks} lb} The combined moment ofinertia i.“ ofthe system li.e. spin table + balls}just before the releaseof THREE balls. (4 marks} lc} Total angular momentum La ofthe system just before the release ofTHREE balls. [3 marks} ld} Total mechanical energy ofthe system just before the release ofTHREE balls. (3 marks}

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