Vertical Oscillation Video Lessons

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Problem: A spring of stiffness k and relaxed length L stands vertically on a table. A person takes a mass M and very slowly lets the mass down onto the spring. On letting go, he finds that the mass does not move and the spring is compressed by a length d1. The same experiment is now repeated by letting the mass go all of a sudden when the spring is still unstretched. The spring is found to compress by a length d2 when the mass momentarily comes to rest. What is the ratio d 1/d2? 1. Mg / kL 2. 2 3. 4 4. kL / Mg 5. 1/4 6. 1 7. 1/2

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Problem Details

A spring of stiffness k and relaxed length L stands vertically on a table. A person takes a mass M and very slowly lets the mass down onto the spring. On letting go, he finds that the mass does not move and the spring is compressed by a length d1. The same experiment is now repeated by letting the mass go all of a sudden when the spring is still unstretched. The spring is found to compress by a length d2 when the mass momentarily comes to rest. What is the ratio d 1/d2?

1. Mg / kL

2. 2

3. 4

4. kL / Mg

5. 1/4

6. 1

7. 1/2

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Our tutors have indicated that to solve this problem you will need to apply the Vertical Oscillation concept. You can view video lessons to learn Vertical Oscillation. Or if you need more Vertical Oscillation practice, you can also practice Vertical Oscillation practice problems.

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