A mass attached to a spring oscillates with a period of 22 sec. After 22 kg are added, the period becomes 33 sec. Assuming that we can neglect any damping or external forces, determine how much mass was originally attached to the spring.

Mass of 17.854 kg is only attached to the spring    

Explanation:

We have given time period in first case is 22 sec

Let initially mass is m

After 22 kg are added the period becomes 33 sec

Time period of spring mass system is

, here m is mass and k is spring constant

From the relation we can see that

Squaring both side

m = 17.584 kg

So mass of 17.854 kg is only attached to the spring

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explanation:

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