An object of unknown mass is attached to an ideal spring with force constant 135

Question

An object of unknown mass is attached to an ideal spring with force constant 135N/m and is found to vibrate with a frequency of 6.30Hz .

Part A

Find the period.

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Part B

Find the angular frequency.

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Part C

Find the mass of this object.

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An object of unknown mass is attached to an ideal spring with force constant 135N/m and is found to vibrate with a frequency of 6.30Hz .

Part A

Find the period.

T =   s  

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Part B

Find the angular frequency.

? =   rad/s  

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Part C

Find the mass of this object.

m =   kg  

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Explanation / Answer

time period T = 1/f = 1/6.3 = 0.158s

angular frequency w = 2 *pi* f = 39.58 rad/sec

time period T = 2*pi*sqrt(m/k) where, k = spring force constant

=> m = (T/2*pi)^2 * k = 0.085kg

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