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For the damped oscillator shown in previ...

For the damped oscillator shown in previous figure, `k= 180 Nm^(-1)` and the damping constant b is `40 gs^(-1)` .Period of oscillation is given as 0.3 s, find the mass of the block . (Assume b is much less than `sqrt(km))`.
Hint `: T = 2pi sqrt((m)/(k))`

Text Solution

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`T = 2pi sqrt((m)/(k))`
`= m = ( T^(2)k)/(4pi^(2))= ( 0.3 xx 0.3 xx 180)/( 4 xx ( 3.14 )^(2)) = 0.4 kg `
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