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Derive the governing equation of motion for the angular motion of a bar suspended using bifilar suspension, and hence, derive the expression for the angular frequency.
Equations of Motion using Lagrange Equation
Use Lagranges equations to derive the equations of motion for
the system.
1. For the following systems derive the equation of motion in terms of the coordinates shown in each figure. Also determine the natural frequency of the system. I www 4 IH This disk of Bass without sp VIGERE PUP2.16 IGERE PA14 wa Ideal sender bars of length FIGURE PA P2.16
Using the law of conservation of energy derive the equation of motion for system shown in the Figure. 060
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
Using the energy method, try to derive the equation of motion for system shown in the Figure.
For the given rack and pinion system: a) Derive the equation(s) of motion for angle of the steering shaft (O) b) What is the equivalent inertia Bonus) Solve for the horizontal position of the rack, x(t), assuming the cart starts from rest with position Xo.
xv mg mg Derive the equation of motion of the system. Find an equivalent mass and force to the systen (7 marks) Q2. Consider the following block diagram. Derive expressions for C(ó) and Ms). R(S)