Question

A puck of mass m = 1.10 kg slides in a circle of radius r = 16.9 cm on a frictionless table while attached to a hanging cylinder of mass M = 2.20 kg by means of a cord that extends through a hole in the table. What speed keeps the cylinder at rest?

Answer 1

Ac = v^2/r

1.1 Ac = 2.2 g
so
Ac = (2.2/1.1)(9.81) = 19.6 m/s^2

v^2 = .169 (19.6) = 3.32
v = 1.82 meters/second
that is the speed
if you want angular velocity
omega = v/r = 1.82 /.169 = 10.8 radians/second

Answer 2

thanks so much!!!!!