One end of a string is connected to top of the fixed vertical ring as shown in the figure. The other end is connected to a bead of mass 3 kg free to slide smoothly on the ring. If the string is taut i

Question

One end of a string is connected to top of the fixed vertical ring as shown in the figure. The other end is connected to a bead of mass 3 kg free to slide smoothly on the ring. If the string is taut in the shown configuration (take θ = 3 7 ∘ ) tension in it (in newton) is equal to.

TestHub · Accepted Answer

The bead rests at angular position 2 θ from the top, so the string (chord) makes angle ( 9 0 ∘ − θ ) with the tangent at the bead Equilibrium along the tangent: T sin θ = m g sin 2 θ T = 2 m g cos θ = 2 × 3 × 10 × cos 3 7 ∘ T = 48 N

Physics - NLM Question with Solution | TestHub

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