Question

The collar has a mass of 0.6 kg. It is released from rest at point A and moves down along the frictionless vertical rod. Neglect the size of the collar and the diameter of the rod. The spring has a natural length of 1.5 m and a spring constant of k = 30 N/m. Solve the following: a) Draw a free body diagram of the collar at a typical position 2 m between A and C. b) Explicitly specify the condition under which the collar achieves the maximum vertical displacement s. c) Use work and energy methods (either the principle of work and energy or conservation of energy, whichever fits the B best) to determine the maximum displacement s. (You should at least build a correct equation for s. You are not required to solve the equation for a specific value of s) k = 30 N/m S C

Answer 1

Fj Caso When all available energy the collar spring, A Es Quist Bw. see If = spring force E by spring рх, is transffered to spring undergoes mawmum deflection. By applying conservation of energy, we potential energy Energy gained of collar mgh 1 KR ²4 He = migh: & K (²) => mgs = 4 x30x/14+5 -13)-os > 0.649.81 15(6+14+15+2375X1483 -0.51 155²-45/44 5.88 68 +90=0 Soluing above equation by using any software two real roots 08 1.2567 S = 1.2567 m initial extension W50=_91-T = 2m B S C let BC -1.5 =J2²ts²_1.5 we get our answer

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