In the figure we see a mass m2=0.2 kg undergoing circular motion of radius 0.5 m

Question

In the figure we see a mass m2=0.2 kg undergoing circular motion of radius 0.5 m on a frictionless table. The second mass, m1=0.3 kg, is attached to m2 with a string and hangs down below the tabletop. How fast does m2 have to be moving so that m1 remains stationary?

In the figure we see a mass m2=0.2 kg undergoing circular motion of radius 0.5 m on a frictionless table. The second mass, m1=0.3 kg, is attached to m2 with a string and hangs down below the tabletop. How fast does m2 have to be moving so that m1 remains stationary?

Explanation / Answer

Given,

m1 = 0.2 kg

m2 = 0.3 kg radius = 0.5 m

to keep m1 stationary m2 has to balance it by its centrifugal force

so,

m1 * g = m2 v^2 / r

0.3 * 9.8 = 0.2 * v^2 / 0.5

v = 2.711 m/s

m2 should move with the velocity of 2.711 m/s so that m1 remains stationary

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