A puck of mass m 1.50 kg slides

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A puck of mass m = 1.50 kg slides in a circle of radius r = 20.0 cm on a frictionless table while attached to a hanging cylinder of mass M = 2.50 kg by means of a cord that extends through a hole in the table (Fig. 6-43). What speed keeps the cylinder at rest?
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can you please explain how these two different strings can have the same tension, as most of the questions I've solved have different values of T for different strings

izenberg