Problem 4 Write the equation of motion of the system shown in Figure 3 using either...
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...
Could you help answer this question by hand? Derive the equation of motion of the system shown in Figure Q5b, using the following methods: (0) Newton's second law of motion. (4 marks) D'Alembert's principle. (3 marks) (iii) Principle of conservation of energy. (5 marks) ki k2 000 m Figure Q5b
4. Consider the pulley system shown in Fig. 4, and derive an equation of motion for the mass mi. Assume that: mı > m2 and that the pulley 1 has negligible friction and negligible inertia - that is, the tensions on the cable are the same on both sides of this pulley. The pulley with moment of inertia 12 has radius R2. m2 Fig. 4.
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)
Using the law of conservation of energy derive the equation of motion for system shown in the Figure. 060
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)
Consider the system shown in the figure below. The mass moment of inertia of the bar about the point O is JO, and the torsional stiffness of the spring attached to the pivot point is kt . Assume that there is gravity loading. The centre of gravity of the bar is midways, as shown in the figure. Question 2 Consider the system shown in the figure below. The mass moment of inertia of the bar about the point O is...
4. The pulley in the system of Figure 4 has a centroidal mass moment of inertia / Let x be the displacement of the cart, measured to the right from the system's equilibrium position. Determine the differential equation governing the motion of the system, using x as the generalized coordinate. Figure 4
Write the equations of motion of the system shown in Figure P4.3, using Lagrange's equation. Write the equations in terms of x, and X. M Figure P4.3
In the pulley system shown in Figure P2.33, assume that the cable is massless and inextensible, and assume that the pulley masses are negligible. The force f is a known function of time. Derive the system's equation of motion in terms of the displacement. For the system shown in Figure P2.34, the solid cylinder of inertia I and mass m rolls without slipping. Neglect the pulley mass and obtain the equation of motion in terms of x.