Question

the center of the An air puck of mass mi is tied to a string and allowed to revolve in a circle of radius R on a horizontal, frictionless table. The other end of the string passes through a small hole i table, and an object of mass m2 is tied to it (see figure). The suspended object remains in equilibrium while the puck on the tabletop revolves (a) Find a symbolic expression for the tension in the string in terms of mz and g T (b) Write Newton's second law for the air puck, using the variables m1, v, R, and T. (Do this on paper. Your instructor may ask you to turn in this work.) (c) Eliminate the tension T from the expressions found in parts (a) and (b) and find an expression for the speed of the puck in terms of mir m2, g, and R. speed

Answer 1

here,

a)

for m2

as the mass m2 is in equilibrium

T = m2 * g .....(1)

b)

the acceleration of m1 is ac

using Newton's second law

m1 * ac = T

m1 * v^2 /R = T ....(2)

c)

from (1) and (2)

m1 * v^2 / R = m2 * g

v = sqrt(m2 * g * R /m1)

the speed of puck is v = ( sqrt(gR m2 /m1))