What are the equations of motion for the following system? I think the EOM for the box would be mx(doubledot) = -keqx+keqr(theta) but im not sure, and I'm really confused about the two pulleys
What are the equations of motion for the following system? I think the EOM for the...
The equations of motion for a certain mechanical system with two degrees of freedom, can be written as a pair of coupled, second-order, differential equations: (M + m)x - 1/2 mL theta^2 sin(theta) + 1/2 mL theta cos(theta) + k(x - L_0) = 0 1/3 mL^2 theta + 1/2 mLx cos(theta) + 1/2 mgLsin(theta) = 0 We can rewrite them in matrix form, A*qdd - b, to be solved simultaneously: [M + m 1/2 mL cos theta 1/2 mL cos...
When designing a capacitive cell with two identical metal electrodes and a dielectric liquid (r134a) between them (think it's neutral), what are the specifications to look for when selecting the metal? Obviously, it has to be conductive, but what about corrosion/oxidation resistance, other factors, I'm not really sure about the material properties needed in this situation. I'm being told to use SS 316 but not sure why.
I have question about 5b and c. For b I think i got it, but I'm not so sure about c. 5. Let B be the following matrix in reduced row-echelon form: 1 0 - 1 0 0 1 2 B= 0 0 0 0 0 0 0 (a) (3 pts) Let C be a matrix with rref(C) B. Find a basis of ker(C). (b) (3 pts) Find two matrices A1 and A2 so that rref(A1) rref(A2) im(Au) # im(A2)....
Learning Goal: To apply the equations of motion to a system that involves rotation about a fixed axis and to use this information to determine key characteristics. The slender rod ABAB shown has a mass of m=53.0m=53.0 kgkg and is being supported by a rope and pulley system stationed at CC. Starting from rest (in the position shown), the rope and pulley system tug on the rod causing it to rotate about AA. The torque applied to the pulley is...
Determine the equation of motion for the following system using Lagrange's equations: (x, Theta1,Theta2) 20 20
i think the answer is pi but im not sure please show all steps Evaluate the following integral using integration by parts. Show all work including equations for u, du, v, and du ſ esinada
5. (20) Use Newton's method to derive the equations of motion for the following system. Assume the spring is at its resting length when both masses are hanging vertically. 1/2 K M2
There are two simply-supported beams with the following equations of motion. What is the ratio between their first natural frequencies? Consider: Pz 0.51p,, E2 -186E,, A-2A,and 2-8 f, cos(S2,t There are two simply-supported beams with the following equations of motion. What is the ratio between their first natural frequencies? Consider: Pz 0.51p,, E2 -186E,, A-2A,and 2-8 f, cos(S2,t
I think I have most of this question set, but would appractite step by step explaination of questions e), f), g), and h). Thanks! Two masses m1and m2 connected by a spring of elastic constant k slide on a frictionless inclined plane under the effect of gravity. Let a be the angle between the the x axis and the inclined plane, r the distance between the two masses, l the position of the first mass with respect to the top...
2. The equations of motion for a system of reduced mass moving subject to a force derivable from a spherically symmetric potential U(r) are AF –102) = (2+0 + rē) = 0 . (3) Using the second of these equations, show that the angular momentum L r 8 is a constant of the motion (b) Then use the first of these equations to derive the equation for radial motion in the form dU L i=- What is the significance of...