1. A 4.0kg block is suspended from a spring with force constant of 500N/m. A 50g bullet(adsbygoogle = window.adsbygoogle || []).push({});

is fired into the block from directly below with a speed of 150m/s and is imbedded in

the bloack. (a) Find the amplitude of the resulting simple harmonic motion. (b) What

fraction of the original kinetic energy of the bullet appears as mechanical energy in the

harmonic oscillation?

2. Assume that you are examining the characteristics of the suspension system of a 2000kg

automobile. The suspension “sags” 10cm when the weight of the entire automobile is placed

on it. In addition, the amplitude of oscillation decreases by 50% during one complete

oscillation. Estimate the values of k and b for the spring and shock absorber system of one

wheel, assuming that one wheel supports 500kg.

3. A 2200lb car carrying four 180lb people drives over a rough “washboard” dirt road with

corrugations 13ft apart. The car bounces with maximum amplitude when its speed hits

10mi/h. The car now stops and the four people get out . By how much does the car rise

on its suspension owing to this decrease in weight?

4. A small mass with m = 100 grams is attached to a vertical string of length l = 2m in

the earth’s gravity. The mass swings back and forth with no loss of energy. The maximum

angle from the vertical is 45. This problem is not simple harmonic motion because the

maximum angle of displacement is not small. Find the velocity when the string is vertical,

= 0. Find the tension in the string at = 0. What is the velocity at = 0 if you assume

simple harmonic motion?

need help studying for it..plz help!! thx

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# Homework Help: Simple harmonic motion (4 questions)

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