Simple Harmonic Motion of Vertical Springs Video Lessons

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Problem: A mass is oscillating with amplitude A at the end of a vertical spring of spring constant k.(a) The mass is increased by a factor of four. What is true about the period? Choose the best answer. A. The period is halved.B. The period doubles.C. The period increases by a factor of fourD. The period decreases by a factor of four (b) The mass is increased by a factor of four keeping A and k constant. What is true about the total mechanical energy? 

FREE Expert Solution

Part (a)

Period:

T=2πmk

The period is directly proportional to the square root of the mass.

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Problem Details

A mass is oscillating with amplitude A at the end of a vertical spring of spring constant k.

(a) The mass is increased by a factor of four. What is true about the period? Choose the best answer. 

A. The period is halved.
B. The period doubles.
C. The period increases by a factor of four
D. The period decreases by a factor of four 

(b) The mass is increased by a factor of four keeping A and k constant. What is true about the total mechanical energy? 

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