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A bead slides without friction on a frictionless wire in the shape of a cycloid with equationsx = a(θ-sin θ)y = a(1+cos θ)where θ's range is 0 to 2π.Find the Lagrangian function and the equation of motion.
Derive the equations of motion for a two mass system
(suspension), the Transfer Function and state space model.
Please show all work and write neatly. Thank you in advance.
model Free body diagram /n in m2 Road surface Inertial reference
Write the differential equations of motion, convert to Laplace domain and find the transfer function indicated. Use: k1 k2 k3 2, m1 mz 3, c4 G(s)265) )Y(s) y0) disphcement input
Find the Transfer-Function from f ->r. Small angle is assumed so that the motion of the mass stays vertical and the spring stays horizontal. This problem challenges you to derive the transducer (pulley) equations, yourself using free-body diagrams, so that you can relate the spring to the mass. Note that for this problem, the pulley is massless/inertialess so therefore the sum of the moments equals zero rather than IÖ. Ignore gravity since we can just lump it into f(t)
. ioins the Equation of motion, displacement Y is the function of time, time t is variable, for a given time t, there is A function value Y is corresponding to. Velocity V is first derivative of displacement Y, time is variable. for a given time t, there is a function value V is corresponding to. 5) Tabulating and plotting: (30 points), for a shouting up from a building problem, ye 49t2 1st.50, Y(t) 50 55.743? 44.2570 0 1.531? 0...
Equation of motion, displacement Y is the function of time, time t is variable, for a given time t A function value Y for a given time t, there is a function value V is there is corresponding to. Velocity V is first derivative of displacement Y, time is variable, 5) Tabulating and plotting: (30 points), for a shouting up from a building problem, y 4.9 t2+ 15t+50, v- -9.8t+15 Yt) 50 55.743 44.257 0 V(t) 15? ?1,531? -ygt tlStt...
Equation of motion, displacement Y is the function of time, time t is variable, for a given time t, there is A function value Y is corresponding to. Velocity V is first derivative of displacement Y, time is variable, for a given time t, there is a function value V is corresponding to. 5) Tabulating and plotting: (30 points), for a shouting up from a building problem, y 4.9 t2+ 15t +50, V-9.8t +15 Y) 50 55.74344.257 vt 1? 1.531...
Derive the equation of motion of the system below as a function of ki, k2, m, 12, 13 and c. 2 k2 t Rigid Massless Link
Derive the equation of motion of the system below as a function
of k1, k2, m, l1, l2, l3 and c.
CH, Rigid Massless Link