A string of length ' L ' fixed at one end carries a mass ' m ' at the other end. The string makes π 3 r.p.s. around the vertical axis through fixed end. The tension in the string is

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Physics - W.E.P. Question with Solution | TestHub

PhysicsW.E.P.Vertical circular motionMedium2 minPYQ_2022

PhysicsMediumsingle choice

A string of length ' $L$ ' fixed at one end carries a mass ' $m$ ' at the other end. The string makes $\frac{3}{π}$ r.p.s. around the vertical axis through fixed end. The tension in the string is

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Solution:

Consider the free body diagram
On considering horizontal force balance: $T sin θ = m ω^{2} R$ Using the geometry, $R = L sin θ$ $∴ T = (m ω^{2} L)$ Given, $ω = (\frac{3}{π})$ r.p.s. $= (\frac{3}{π}) (2 π) rad / s = 6 rad / s$ $∴ T = 36 mL$

Stream:MHT_CETSubject:PhysicsTopic:W.E.P.Subtopic:Vertical circular motion

⏱ 2mℹ️ Source: PYQ_2022

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