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of mass m is tied to a string and allowed to revolve in a circle of redius R on

ID: 2039423 • Letter: O

Question

of mass m is tied to a string and allowed to revolve in a circle of redius R on a horizental, frictionless 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 t (see figure). The sapended ot0ect remains i, ntrum while the puck on the tabletop rev ewes. (a) Find a symbolic expression for the tension in the string in terms of ma and g (b) write Newton's second law for the air puck, using the vaablesmy, v, R, and T. (D this on paper Your instructor may ask you to turn in this work) (c) thrinate the tenson Tfrom the expressions found in parts (a) 8nd(b) and frd an expression for the speed of the puck in terms of m. m2·g,and speed-

Explanation / Answer

a) sigma F = m2 g - T

tension in the string T = m2 g

b) T = m1 v2 / R

c) equating the above equations

m2 g = m1 v2 / R

v2 = m2 / m1 * g R

speed v = sqrt [(m2/m1) * g R]