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A string of length l = 1 m is fixed at one end and carries a mass of 100 gm at other end. The string makes 5/π revolution per second about a vertical axis passing through its second end. What is the angle of inclination of the string with the vertical?

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a

300

b

450

c

600

d

750

answer is C.

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Detailed Solution

The different forces are shown in figure. From figureT sinθ = mv2r = mω2r = mω2lsinθ ----(i)and T cos θ = mgFrom equation (i)T= mω2l = mω2 (l = 1 m)From equation (ii),mω2cosθ = mgcos θ = gω2 = g4π2n2 = 104π2(5/π2)or cosθ = 0.5 i.e, θ = 600

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A string of length l = 1 m is fixed at one end and carries a mass of 100 gm at other end. The string makes 5/π revolution per second about a vertical axis passing through its second end. What is the angle of inclination of the string with the vertical?