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  • A body of mass 'm' is tied to one end of a spring and whirled round in a horizontal plane with  a constant angular velocity . The elongation in the spring is 1 cm. If the angular veloc

A body of mass 'm' is tied to one end of a spring and whirled round in a horizontal plane with  a constant angular velocity . The elongation in the spring is 1 cm. If the angular velocity is doubled , the elongation in the spring is 5cm. The original length of the spring is (in cm) :

Option: 1

15


Option: 2

12


Option: 3

16


Option: 4

10


Answers (1)

best_answer

Given,

Centrifugal force will stretch the string

\Rightarrow m(L+x) \omega^{2}=k x\\ At \ elongation \ (x=1) \\ m(L+1) \omega^{2}=k \times 1 \ldots \ldots .(1) \\ \ At \ elongation \ (x=5)\\ m(L+5)(2 \omega)^{2}=K \times 5 \ldots \ldots(2)\\ From (1) and (2)\\ L=15 \mathrm{cm}

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Rishi

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