Fosin Uniformer, Q.2 (35 pts) Starting from first principles, determine the equation of motion for the...
Fysin 31 Q.2 (35 pts) Starting from first principles, determine the equation of motion for the system shown. a. Draw free body diagram for small displacements measured from static equilibrium. b. Take moments about the hinge to obtain the equation of motion as Uniformbar, 1000 TH HT 1,0+0.6.8+(13 ke = F, L. Sin(wt) |
Starting from first principles, determine the equation of motion for the system shown. Draw free body diagram for small displacements measured from static equilibrium. Take moments about the hinge to obtain the equation of motion as. Fosin Uniformbar, HTTTTT |-- -----|
Q.3 (30 pts) Starting from first principles a) Draw free body diagram for the system shown. b) Show that the equation of motion is: www - Yin k Base
Q.3 (30 pts) Starting from first principles a) Draw free body diagram for the system shown. b) Show that the equation of motion is: mx + cx + bx = cỷ +ky Y sin 1 I нае
Starting from first principles Draw free body diagram for the system shown. Show that the equation of motion is: +y -am Mt) - Y sin er K Base
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)
Problem 3.(30 pts) Derive the equation of motion and find the steady state response of the system shown below for rotational motion about the hinge O for the following data: a 0.25 m, b-0.5m, m, k (You can assume that gravitational force is balanced against the static deflection of the springs) F(t) = Fo sin (ot Uniform rigid bar, mass m M.
We were unable to transcribe this imagea. (4 pts) Draw the Free-Body Diagram and derive the full non-linear Equation of b. (4 pts) Determine the equilibrium position (s) c. (4 pts)Determine if the equilibrium position(s) are stable or unstable (show your Motion mathematical calculations). d. (4 pts)Write an algorithm (a function) in MATLAB called x_dot that returns the time derivative of the states given the current state (the response to this question is the code that you wrote) Simulate the...
Please show all work with algebra. disk 5. A uniform disk of mass M and radius R is suspended from an axle at its rim, as (a) (9 points) Draw a free body diagram for the disk when it is pulled out by a (b) (9 points) Write out the torque equation for small oscillations of the disk about shown in the figure below. It is then pulled out by a small angle and released small angle. its equilibriumi position...
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