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hw3 - Solution for 2.C3 1 FBD for collar A T 300 y c P x N...

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Solution for 2.C3 1). FBD for collar A: where T is the tension in spring. 2). Equilibrium equations: 2 2 2 2 0 (1) 300 300 0 (2) 300 x x y y c F P T P T c F N T N T c = = = + = − + = − + = + Using Hooke’s law, we can get the expression for T, ( ) ( ) 2 2 300 300 AB AB T k l k L L k c = Δ = = + (3) where AB L is the length from A to B before the spring is deformed and AB L is the length from A to B after the spring is deformed. Substituting (3) to (1) gives ( ) 2 2 2 2 300 300 0 (4) 300 c P k c c + = + So we have
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