Problem: A small block of mass m is on a frictionless table and is attached to a horizontal spring. The spring has stiffness ks and a relaxed length L. The other end of the spring is fastened to a fixed point at the center of the table. The block slides on the table in a circular path of radius R > L. How long does it take for the block to go around once? 1. T = √ 3π2mL2 / ksR2 2. T = √ 4πmR / ksL 3. T = √ 4π2mR2 / ksL 4. T = √ 4πmR / ks (R − L) 5. T = √ 4π2mR2 / ks(R −​ L)2 6. T = √ 2πmR / ks(R −​ L) 7. T = √ 3π2mR2 / ks(R −​ L) 8. T = √ 4π2mR / ks(R −​ L) 9. T = √ 4πmR / ks(L −​ R) 10. T = √ 4π2mR / ks(L −​ R)

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Problem Details

A small block of mass m is on a frictionless table and is attached to a horizontal spring. The spring has stiffness ks and a relaxed length L. The other end of the spring is fastened to a fixed point at the center of the table. The block slides on the table in a circular path of radius R > L. How long does it take for the block to go around once?

1. T = √ 3π2mL2 / ksR2

2. T = √ 4πmR / ksL

3. T = √ 4π2mR2 / ksL

4. T = √ 4πmR / ks (R − L)

5. T = √ 4π2mR2 / ks(R −​ L)2

6. T = √ 2πmR / ks(R −​ L)

7. T = √ 3π2mR2 / ks(R −​ L)

8. T = √ 4π2mR / ks(R −​ L)

9. T = √ 4πmR / ks(L −​ R)

10. T = √ 4π2mR / ks(L −​ R)

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Intro to Springs concept. If you need more Intro to Springs practice, you can also practice Intro to Springs practice problems.

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Based on our data, we think this problem is relevant for Professor Stephens' class at TEXAS.