Use the equivalent systems method to derive the differential equation governing the motion of the bar shown in the figure, when the bar subjected to clockwise angular displacement from the equilibrium position. Assume small and consider the translational displacement of the center of the bar. k

Derive the governing differential equation for each system with the chosen generalized coordinate. a. The springs both have the coefficient of k. (see figure below). Solve completely. Answers that will be provided COPIED/PLAGIARIZED from the other sources will be reported.

For the following mechanical systems, obtain the equations of motion in Laplace domain.

Determine the equations to find the nodal displacements using the finite element direct method for the system as shown below. Assume that all free nodes undergo translation in x (1 DOF at each node) and that external forces Fı and F2 are known. Nodes 3 and 4 are fixed. The spring constants are known to0. Assume +x is to the right. Derive all equations and apply boundary conditions-leave your answer in terms of all known variables Do not rename the nodes or elements! Node 3 Node 4 k F1 F2 U2 Node 2 Node 1

Use the free body diagram method to derive the differential equation governing the motion of the system show in the below figure, using as the generalized coordinate.

35 üzerinden işaretenmiş P Soruyu işarete Henüz cevaplanmadı Fss rininininn. 3) For the spring assemblage shown below Figure, obtain (a) the global stiffness matrix, (b) the displacements of nodes 2-4, (c) the global nodal forces. Node 1 is fixed while node 5 is given a fixed, known displacement 5 = 200 mm. The spring constants are all equal to k = 200 kN/m.

I In this problem, consider the figure below. A disk with radius r, mass m, and moment of inertia of Io about the point O is on an inclined plane, with the translational coordinates and y and rotation angle 0, as shown. The direction of gravity is shown, and the incline angle is a. A constant input torque is applied at the point O in the direction shown, and it is opposed by a damping torque from a bearing with value co in the direction shown. The point P represents a point of instantaneous contact, rolling without slipping. Your tasks: Direction of Gravity M(t) co 0 P x Mass: m Figure 2: System schematic. Moment of Inertia about 0: lo a: Incline Angle A Draw the FBD for the disk. B Derive the equation of motion with the rotation angle as the dynamic variable. 0 C Take the Laplace transform, and solve for (s), letting the initial conditions be 0(0) = 0 and (0) = 0. Remember that a constant is a step function for a one-sided Laplace transform. D Given your expression for (s), find the…

Solve it correctly and fast please. I will rate and review.

Q4/ For the figure below the spring is used to stop a 10 kg package. If the maximum deflection in the spring is 70 mm, (a) the total work of the system in the figure below is: 8m/s H=0,25 /K=400N/m 10kg 500m 0-30 (b): The total work when theta =0 equal to: *

P4.8 Determine the rotational speed of link 3 of the mechanism given in figure P4.8 for the position shown. Use a complex numbers approach