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PhysicsSHMCalculation of time periodMedium3 minQB

PhysicsMediumnumerical

For the arrangement shown in figure the particle $m_{1} = 1 kg$ rotates in a circle of radius $(r = 5 cm)$ on a smooth horizontal surface. If $m_{2} = 2 kg$ be displaced slightly in vertical direction find the angular frequency (in SI unit) of oscillation.

Answer:

20.00

Solution:

A small vertical displacement of $m_{2}$ changes the string length and hence the radius of $m_{1}$ ’s circle; conservation of angular momentum plus the radial equation gives the restoring force.

Linearising about equilibrium with $m_{1} = 1 kg$ , $m_{2} = 2 kg$ , $r = 5 cm$ gives $ω = 20 rad / s$ .

Answer: 20.00

Stream:JEESubject:PhysicsTopic:SHMSubtopic:Calculation of time period

⏱ 3mℹ️ Source: QB

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