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A Body of Mass 1 Kg is Mafe to Oscillate on a Spring of Force Constant 16 N/M. Calculate (A) Angular Frequency, (B) Frequency of Vibrations. - Physics

Sum

A body of mass 1 kg is mafe to oscillate on a spring of force constant 16 N/m. Calculate (a) Angular frequency, (b) Frequency of vibrations.

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Solution

Given: 

m = 1kg

k= 16N lm 

ω = ? 

n = ? 

Formula:

k=mω2

`therefore ω= sqrt k/m `

` ω = sqrt 16/1`

`therefore ω = 4 rad // s `

`therefore ω = 2 pi n `

`therefore n = ω/(2pi)= 4/ (2xx3.14)= 2/3.14= 0.636 Hz `

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