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Physics - Circular Motion Question with Solution | TestHub

PhysicsCircular MotionMiscellaneousEasy2 minPYQ_2020

PhysicsEasysingle choice

Toy cart tied to the end of an unstretched string of length $a$ , when revolved moves in a horizontal circle of the radius $2 a$ with a time period $T$ . Now the toy cart is speeded up until it moves in a horizontal circle of radius $3 a$ with a period $T'$ . If Hook's law holds then

Options:

Answer:

Solution:

The extension in the first case

$l_{1} = 2 a - a = a$

from hooks law,

$F = k l_{1}$

$m ω^{2} L = ka$

$m {(ω}^{2}) (2 a) = ka$

$2 ma {(\frac{2 π}{T})}^{2} = ka$ (1)

In the second case

$m (3 a) {(\frac{2 π}{T^{'}})}^{2} = k (3 a - 2 a)$ (2)

on dividing eq (2) by (1) we get

$T^{'} = \sqrt{\frac{3}{2} T}$

Stream:NTA_ABHYAS_NEETSubject:PhysicsTopic:Circular MotionSubtopic:Miscellaneous

⏱ 2mℹ️ Source: PYQ_2020

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