A puck of mass m1 is tied to a string and allowed to revolve in a circle of radi

Question

A puck of mass m1 is tied to a string and allowed to revolve in a circle of radius Ron a frictionless, horizontal table. The other end of the string passes through a small hole in the center of the table, and an object of mass m2 is tied to it (see figure below). The suspended object remains in equilibrium while the puck on the tabletop revolves.

(a) What is the tension in the string? (Use any variable or symbol stated above along with the following as necessary: g.)
T =  

(b) What is the radial force acting on the puck? (Use any variable or symbol stated above along with the following as necessary: g.)
F =  

(c) What is the speed of the puck? (Use any variable or symbol stated above along with the following as necessary: g.)
v =

Explanation / Answer

a) Applying Newton’s second law to mass m2

T-m2g = m2a

T-m2g = 0

T = m2g-----------------(2)

b) Applying Newton’s second law to mass m1

T= Fc

T= m1v2/r -----------(2)

From (1)

Fc = T

Fc = m2g

c)   From (1) and (2)

m2g= m1v2/r

v= sqrt [(m2gr)/m1]

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