A mass m rotating freely in a horizontal circle of radius 1 m on a frictionless smooth table supports a stationary mass 2m, attached to the
other end of the string passing through smooth hole O in table, hanging vertically. Find the angular velocity of rotation.
Solution) for block rotating on table...
T = mv2/r where T is tension
and for block hanging vertically,
T= mg
mg= mv2/r
v = root ( rg)
=root(10)
w= v/r=root(10)/1 = root ( 10)= 3.2 rad/sec