54. A puck of mass mis tied to a string and allowed to revolve in a circle of ra

Question

54. A puck of mass mis tied to a string and allowed to revolve in a circle of radius R on a friction- less, horizontal table. The other end of the string passes through a small hole in the cen- ter of the table, and an obiect of mass m is tied to it (Fig. P6.54) T'he suspended object remains in equilibrium while the puck on the tabletop revolves. Find symbolic expressions for (a) the tension in the string, (b) the radial force acting on the puck, and (c) the speed of the puck. (d) Qualitatively describe what will happen in the motion of the puck if the value of m2 is increased by placing a small additional load on the puck. (e) Qualitatively describe what will happen in the motion of the puck if the value of m2 is instead decreased by removing a part of the hanging load. in Figure P6.54

Explanation / Answer

a) Tension in string=m2g

b)Radial force in string = m2g

c)m1v2/R = m2g

v = sqrt(m2gR/m1)

d) When mass m2 increases, the radius R will reduce and speed v will increase

e)when m2 is reduced, speed of rotation of puck will reduce and the radius will remain unchanged

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