Two balls arc tied together with a string that passes through a smooth, tapered
ID: 1389197 • Letter: T
Question
Two balls arc tied together with a string that passes through a smooth, tapered hole in a tabletop so that the tension in the string is uniform throughout, as shown in Fig.-1. The top of the table is frictionless. Ball 1 on the tabletop has mass m2 - 6.00 kg and Ball 2 hanging under the table has mass m: - 12.00 kg. The length of the string above the hole is d - 0.500 m and the length of the string below the tabletop is di - 0.750 m. Clearly. if you hold Ball 1 and then let go. Ball 2 will fall to the ground. dragging Ball I into the hole. Before letting go, what could you do to Ball 1 to stop LI, or d.1 from changing? You must give a precise, numerical answer. You cannot touch the table, Ball 2 (the one hanging Limier the table). or the string, or change them in any way, and you have to eventually let go of Ball 1. You cannot place anything on top of Ball I. or tic it to something. or anything like that, to stop it from moving. So what else can you do? Remember to give a precise, numerical answer. figure 1 - The balls are tied together with a string, which passes through a smooth. tapered hole so that the ension in the string is uniform throughout. The tabletop is frictionless. m, = 6.00 kg and m: = 12.00 kg. = 0.500 m and d2 = 0.750 m.Explanation / Answer
If we set ball m1 in circular motion then tension will provide it centripetal force and
Will balance the ball of mass m2.
Suppose the velocity with which ball 1 is revolving is