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Dive into the world of pulleys, strings, springs, and physics principles. Explore how springs exert forces, analyze pulley systems, and tackle complex physics examples with clear explanations in this educational chapter.
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Pulleys, Strings, Springs and Things Part 2 Physics Springs Chapter 6 Blue Springs (Deland, FL)
Forces and Pulleys Free-body Diagram F T T Mg
a a m2g - T = a T-m1g = a Example 6-7bAtwood’s Machine
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
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
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
Force of Springs in “Series” F = -K1Dx Dx/2 F = -K1Dx Dx/2 Dx
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
Spring “Series” F= -K Dx/2 F = -K1Dx Dx/2 F= -K Dx/2 F = -K1Dx Dx/2 Dx F= -(K/2) Dx