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Pulleys, Strings, Springs and Things Part 2

Pulleys, Strings, Springs and Things Part 2. Physics Springs. Chapter 6. Blue Springs (Deland, FL). Pulleys, continued…. Forces and Pulleys. Free-body Diagram. F. T. T. Mg. Pulleys can get complex. The principle stays simple. Example 6-7a Atwood’s Machine. a. a. m 2 g - T = a.

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Pulleys, Strings, Springs and Things Part 2

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  1. Pulleys, Strings, Springs and Things Part 2 Physics Springs Chapter 6 Blue Springs (Deland, FL)

  2. Pulleys, continued…

  3. Forces and Pulleys Free-body Diagram F T T Mg

  4. Pulleys can get complex. The principle stays simple.

  5. Example 6-7aAtwood’s Machine

  6. a a m2g - T = a T-m1g = a Example 6-7bAtwood’s Machine

  7. Simple Springs

  8. Simple Spring Fling If the spring constant is K, free length is L0, what is L? L0 L Here’s the free-body diagram: F= -K(L-L0) M F= -Mg

  9. Springy Thingy Each spring produces a force according to F= -Kx. What is the force of two springs in “parallel”, for the same displacement x? Dx

  10. 0 / 100 Force of Parallel Springs Each spring produces force F=kx for displacement x. What is the force of two springs in parallel for displacement x? • Total force is –Kx, since each spring force remains the same. • Total force is ½ (-Kx), since each spring carries ½ the total weight. • Total force is 2(-Kx), since each spring exerts (-Kx). Cross-Tab Label

  11. Force of Springs in “Series” F = -K1Dx Dx/2 F = -K1Dx Dx/2 Dx

  12. What is the force of 2 springs in “series”, each with spring constant K, for same displacement x? 0 / 100 • The force is just F = -K Dx, since each spring has the same force constant. • The force is twice as large. • The force is half as big, F = (1/2)(-K Dx) Cross-Tab Label

  13. Spring “Series” F= -K Dx/2 F = -K1Dx Dx/2 F= -K Dx/2 F = -K1Dx Dx/2 Dx F= -(K/2) Dx

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