Question

Can you help with Q5?

Part B (Based off week 4/6 workshop content) The rear suspension of a mountain bike consists of a spring suspended in a fluid and can be modelled as a spring and damper systemm r(t) 1. Draw a free body diagram of the scenario above and show that the resulting ODE is given by dtm dtm 7m where c is the damping constant, k is the spring stiffness, r(t) is the force pressing into the frame and x(t) is the downward displacement of the mass 2, Find the homogenous solution, ah, to the ODE above, given m = 1 , c 40 and k 144. 3. Solve the particular solution. xp , given r(t) =-24t(t-1) 4. Apply initial conditions x(0) 0 and 2"(0) = 0 to get a specific solution to the ODE 5, Based on your solution from Q4. solve the net force (ie, ΣF) that acts on the mass. Plot the external force and the net force from t = 0 to t and comment on the effect the suspension system is having on force experienced by the rider.

Answer 1

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