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A mass m attached to a spring A has a fr...

A mass m attached to a spring A has a frequency of 3 Hz and a spring B has a frequency of 4 Hz.When both spring are connected as shown in the figure, Find the frequency (in Hz)of oscillation.

Text Solution

Verified by Experts

The correct Answer is:
5
Using `f=(1)/(2pi)sqrt((K)/(m))`
`K=(2pif)^(2)m`
Since `K_(eq)=K_(A)+K_(B)`, we get `f^(2)=f_(A)^(2)+f_(B)^(2)` for same mass
`therefore f=sqrt(3^(2)+4^(2))=5Hz`
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