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PRACTICE PROBLEMS

1. If a spring has a deflection of 6.00 cm when exposed to a static load of 200N, what is the spring constant?

2. Derive the effective damper coefficients for the pairs below from basic principles,

3. Write a differential equation for the mass pictured below.

4. Write the differential equations for the translating system below.

5. Write the differential equations for the system below.

6. Write the differential equations for the system given below.

7. Write the differential equations for the system below.

8. Write the differential equations for the system below.

9. Write the differential equations for the system below.

10. Write the differential equations for the system below.

11. Write the differential equations for the system below.

12. Write the differential equations for the system below. Assume that the pulley is massless and frictionless and that the system begins undeflected.

13. Write the differential equations for the system below. In this system the upper mass, M1, is between a spring and a cable and there is viscous damping between the mass and the floor. The suspended mass, M2, is between the cable and a damper. The cable runs over a massless, frictionless pulley.

14. Write the differential equations for the system below.