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Homework 10.15.10 Solved problems

Homework 10.15.10 Solved problems. Oscillations for Springs or elastic material like bungee cords page 2 space 1.

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Homework 10.15.10 Solved problems

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  1. Homework 10.15.10 Solved problems

  2. Oscillations for Springs or elastic material like bungee cordspage 2 space 1

  3. 1.What is the period of motion for a vertically hung spring that undergoes a series of small oscillations if it's force constant is 9.0 N/m and a 2.0 kg mass hangs from its bottom? Substitute numbers and solve for T 2.0 kg ? 9.0 N/m 2.0 kg Divide 2.0 by 9.0 0.222 sec2 9.0 N/m Take the square root 0.47 sec 0.47 sec Multiply by 2 pi

  4. 3..A toy maker requires a spring mechanism to drive an attached component with a period of 0.50s. If the mass of the component is 10g, what must the value of the spring constant be? Substitute numbers and solve for k (0.010 kg) (0.50s)2 Multiply both sides by “K” (0.50s)2 (0.010 kg) Square the period (0.25s2) (0.010 kg) 0.50s 10g= 0.010 kg (0.25s2) (0.010 kg) Divide through by 0.25 (0.25s2) (0.25s2) (0.010 kg) cancel 0.25 (0.25s2) Divide out 1.59 N/m

  5. Substitute and solve A toy maker requires a spring mechanism to drive an attached component with a period of 0.50s. If the mass of the component is 10g, what must the value of the spring constant be? List & choose equation 0.50 sec 10 g = 0.010kg ?

  6. 4. A spring has a spring constant K=100 N/m.  When an unknown mass, M, is attached to the spring the mass spring system will oscillate with a frequency of 5 Hz.  What is the value of the unknown mass? Substitute numbers and solve for m 100 N/m 5 Hz ? 100 N/m Square both sides 25 Hz2 100 N/m Multiply both sides by 100 N/m 25 Hz2 5 Hz Cancel on right side 25 Hz2 = 100 N/m Divide by m=100 N/m Cancel Calculate answer m= 0.010 kg

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