em as shown below. Assume that all free nodes undergo translation in x (1 DOF at each node) and external forces F1 and F2 are known. Nodes 3 and 4 are fixed. The spring constants are known too. ume +x is to the right. ive all equations and apply boundary conditions-leave your answer in terms of all known variables not rename the nodes or elements! x Node 3 Node 4

For this problem, take a look at Figure 2. Assume that the rod is massless, perfectly rigid, and pivoted at point P. When the rod is perfectly horizontal, the angle 0 = 0, the displacement y = 0, and the spring is in neither tension nor compression. Gravity acts on the system (e.g. on mass M). We assume that y is a small displacement. A mass M is attached at the end of the rod. k Schen a 0 a F The equation of motion for the system can be derived to be: a 4aM0+ ak0 =-F-2Mg T y M Your tasks: A. Transform the rotational equation of motion, which is in 0, given above, to another variable, y, which is zero at the static equilibrium position. B. Represent the mechanical system in state space form. Using MATLAB or a calculator (just say what you used), calculate the eigenvalues of your A matrix for the following system parameters: a = 0.25 [m], M = 1 [kg], k = 16 [N/m], and F = 0 [N]. What do the eigenvalues say about the stability of the system? C. Derive the response of the system in the…

The bar of negligible weight is supported by two springs each having a stiffness 180 N/m The springs are originally unstretched, and the force is vertical as shown ( Figure 1) Figure C 30 N Im B 2m Part A Determine the angle the bar makes with the horizontal, when the 30-N force is applied to the bar Express your answer using three significant figures. VAX Submit Request Amer Return to Assignment vec Provide feedback ?

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the spring LAB, KABLS unkmeen. what would be the st AB 23:40 ON l 21% l You Just now The two springs (AB) and (ACI are shown in figure a below. in their orieinal unstretched poscon. After e applica of a force F the stretched pasition is shawn in fuure ibi ed of spring (ACACI= 200 tt he sie 3 ft

4. The section of peripheral nerve in neck is under tension of force F=0.18N due to sudden movement that causes large deformation of the nerve. As shown in the below figure, the nerve consists of two structures: fascicles and epineurium with modulus of elasticity of Efascicles=Ef2=MPa and Eepineurium=Ee 0.5MPA. Note: you can model all three fascicles as one part with the cross section of Afascicles=A=3((200×10“)²)= 12 n x10*. Use compatibility condition (fascicles and epineurium deform together) b) Determine the deformation of the peripheral nerve (L=50mm). Note: make sure to include the entire solution including the internal forces in fascicles and/or epineurium. d) If the nerve can tolerate strain up to 0.2, determine if the nerve got injured or not due to this sudden movement Peripheral nerve Under tension AF 50mm Fascicles F 400μm Epineurium 400um 400µm Cross section of peripheral nerve 1000um (Answer: 8 9.4mm )

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please help! upvote will be given! STATICS OF RIGID BODIES. WRITE THE SOLUTIONS LEGIBLY.

Find the equation of the following spring system. shaft k. disk -k,0 J

Find the Global Stiffness Matrix for the following Spring Structure. Use your answer to set up matrix Equation F=KX.