A string of length l $$=$$ $$1$$ m is fixed at one end and carries a mass of $$100gm$$ at other end. The string makes $$5/$$π revolutions per second about a vertical axis passing through its second end. What is the angle of inclination of the string with the vertical ? Take g $$=$$ $$10$$ $$m/s2$$

Question

A string of length l $$=$$ $$1$$ m is fixed at one end and carries a mass of $$100gm$$ at other end. The string makes $$5/$$π revolutions per second about a vertical axis passing through its second end. What is the angle of inclination of the string with the vertical ? Take g $$=$$ $$10$$ $$m/s2$$

Infinity Learn · Accepted Answer

The different forces are shown in fig. (10). From figureTsin⁡θ$$=mv2r=m$$ω$$2r=m$$ω$$2lsin$$⁡θ           ....(1)and$$     Tcos⁡θ$$=mgFrom$$ eq. $$(1),$$T=m$$ω$$2l=m$$ω$$2$$ $$($$∵$$l=1m)From$$ eq. (2) mω$$2cos$$⁡θ$$=mg$$∴ $$cos$$⁡θ$$=g$$ω$$2=g4$$$$π$$$$2n2=104$$$$π$$$$25/$$π$$2or$$         $$cos$$⁡θ$$=0.5$$ i.e., θ$$=60$$∘

A string of length l = 1 m is fixed at one end and carries a mass of 100gm at other end. The string makes $\sqrt{5} / π$ revolutions per second about a vertical axis passing through its second end. What is the angle of inclination of the string with the vertical ? Take g = 10 m/s²

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A string of length l = 1 m is fixed at one end and carries a mass of 100gm at other end. The string makes 5/π revolutions per second about a vertical axis passing through its second end. What is the angle of inclination of the string with the vertical ? Take g = 10 m/s2

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A string of length l = 1 m is fixed at one end and carries a mass of 100gm at other end. The string makes $\sqrt{5} / π$ revolutions per second about a vertical axis passing through its second end. What is the angle of inclination of the string with the vertical ? Take g = 10 m/s²