From your free-body diagram, write the sum of the forces experienced by mass m1.

Question

From your free-body diagram, write the sum of the forces experienced by mass m1. From your free-body diagram, write the sum of the forces experienced by mass m2.

m1,

T1= m1v^2/R

           m2,

T2=m2g/1

For the equation for mass m1, use the following relations to replace the speed, v: v = wR, where R is the radius of rotation w = 2p/T, where T is the period of rotation.)

T1=T2

and two equations are m1v^2/R = m2g/1  

How do you solve the two above equations to obtain the period of the rotating system in terms of the radius of rotation and the two masses, m1 and m2.

I know I need to use the fact that v = wR and w = 2(pi)/T. where T is the period. But I'm not sure how....Thanks for helping!!!

Explanation / Answer

v = w*R

w = 2*3.14/T

given, T1= m1*v^2/R

             T2 = m2*g

if T1 = T2

then, m1*v^2/R = m2*g

        m1*(w*R)^2/R = m2*g

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