The period of oscillation of a body of mass m1 suspended from a light spring is T. When a body of mass m2 is tied to the first body and the system is made to oscillate, the period is 2T. - Physics

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Sum

The period of oscillation of a body of mass m1 suspended from a light spring is T. When a body of mass m2 is tied to the first body and the system is made to oscillate, the period is 2T. Compare the masses m1 and m2

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Solution

T = `2πsqrt("m"/"k")`

∴ `(2"T")/"T"` = 2 = `sqrt(("m"_1+"m"_2)/"m"_1)`

∴ `("m"_1+"m"_2)/"m"_1` = 4

∴ `"m"_2/"m"_1=3/1`

∴ `"m"_1/"m"_2=1/3`

This gives the required ratio of the masses.

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Chapter 5: Oscillations - Exercises [Page 130]

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Balbharati Physics 12th Standard HSC Maharashtra State Board
Chapter 5 Oscillations
Exercises | Q 18 | Page 130

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