For the following systems derive the equation of motion in terms of the coordinates shown in the figure.
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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.
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
Tutorial Problem Draw the free-body diagram and derive the equation of motion in terms of 0 using Newton's second law of motion of the systems shown in Figure below. Derive the equation of motion using the principle of conservation of energy Pulley, mas moment of inertia at) Tutorial Problem Draw the free-body diagram and derive the equation of motion in terms of 0 using Newton's second law of motion of the systems shown in Figure below. Derive the equation of...
Derive the equation of motion and find the natural frequency of the system shown below (1) Cylinder, mass m k R с Pure rolling 1 Αν B I US EE Draw a free body diagram (FBD) with all the forces. Use either Newton's or Lagrange's energy method to derive the equation of motion - Calculate the natural frequency
Derive the equations of motion of the system shown in the Figure by using Lagrange's equations with x and generalized coordinates. Wu
Using the energy method, try to derive the equation of motion for system shown in the Figure.
Using the law of conservation of energy derive the equation of motion for system shown in the Figure. 060
Use Newton's method to determine the differential equation of motion, for the system shown, in terms of the coordinates x and y. Jo is the moment of inertia for the pulley. Displacements x and y are zero when the system is in equilibrium. a) Show and properly label the (3) free body diagrams. b) Write and simplify to two EOMs for coordinates x and y Bonus: Write EOMs in matrix form for coordinates x and y 2r r 0 FO)
4. Derive the equations of motion for the shown two degrees system in terms of x and ?. Bonus 12.5 Pts: Derive and solve the characteristic equation for l = 4 m, m = 3 kg, ki-1 N/m, and k2 = 2 N/m. .
04: Derive the differential equation governing the motion of the one degree-of-freedom system by using Newton's method. Use the generalized coordinates shown in figure (5) (bar moment of inertia, 1-2 ml) Slender bar of mass m Figure (5)
012) Write the equation of motion if the system is undamped as shown above and derive the displacement response of the system if P(t) is given as in Figure 2. (4 Points) P(t) Po 2t Figure 2: P(t) force as a function of time 012) Write the equation of motion if the system is undamped as shown above and derive the displacement response of the system if P(t) is given as in Figure 2. (4 Points) P(t) Po 2t Figure...