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An air puck of mass  \(m_{1}\) is tied to a string and allowed to revolve in a circle of radius R on a frictionless horizontal table. The other end of the string passes through a hole in the center of the table, and a counterweight of mass  \(m_{2}\) is tied to it. The suspended object remains in equilibrium while the puck on the tabletop revolves. What is

(a) the tension in the string?

(b) the radial force acting on the puck?

(c) the speed of the puck?

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