DO ALL PROB 13 (USE 12 FOR REFERENCE TO SOLVE PROB 13) For the spring- mass syst
ID: 1843392 • Letter: D
Question
DO ALL PROB 13 (USE 12 FOR REFERENCE TO SOLVE PROB 13)
For the spring- mass system shown Determine expressions for the spring force, f _z as a function of the displacement, x Plot the spring force vs the displacement for all x. Show how conceptually you might design the hardening spring of Prob 12. Show the same for the softening spring of Prob 12. k _1 = 1 N/mm k _2 = 2 N/mm k _3 = 3 N/mm k _4 = 1 N/mm x _1 = 2 mm x _2 = 5mm x _3 = 6mm x _4 = 3mm x _5 = 8mm Don't forget what happens at the wall. This may give you an idea of why we use travel limiters. A block with a mass m = 4.0kg is suspended from a nonlinear spring with f _s = F _o sin(x/x _m) where F _o = 50N and x _m = 15mm Write a single MatLab program which: Plots the spring force f _s for (- 15mmExplanation / Answer
the force of a spring is calculated according to hookes law. named for robert hooke a britih physicist who developed the formula in 1660. hooke oroginally stated the law in latin ut tensio sic vis or as the extension so the force lets think of this way
the force of the spring is directly proportonal to the extension of the spring
in other words if you pull on the bob a lot force will be strong if you pull on the bob a little the force will be weak mathematically the law is stated
Fspring=-k * x
k is the constant and its value will ulimateely scale the force is the spring highly elastic or quite rigi
x refers to the displacement of the spring the difference between the current lenght and the rest length. the rest length is defined as the length of the spring in a state of eqilibrium now remember force is a vector so we need to calculated both magnitude and direction
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