please give upvote if you like my answer and can ask any doubts in comment section.
thank you.
2(35%) Consider the system shown below. (a) Derive the equation of motion of the mass m. (b) Find the steady-state displacement of the mass m. (c) Find the force transmitted to the support at P...
solve the following question
For the system shown in the figure below x and y denote, respectively, the absolute displacements of the mass m and the end Q of the damper c1 (1) Derive the equation of motion of the mass m (2) Find the steady state displacement of the mass m (3) Find the force transmitted to the support at P when the end Q is subjected to harmonic motion y (t)-y cos wt x(t) y(t) cos ω t
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.
012) Write the equation of motion if the system is undamped as shown above and derive the displacement response of the system if P(t) is given as in Figure 2. (4 Points) P(t) Po 2t Figure 2: P(t) force as a function of time
012) Write the equation of motion if the system is undamped as shown above and derive the displacement response of the system if P(t) is given as in Figure 2. (4 Points) P(t) Po 2t Figure...
. (40pts) Consider a spring-mass-damper system shown below, where the input u() is displacement input at the right end of the spring k3 and x() is the displacement of mass ml. (Note that the input is displacement, NOT force) k3 k1 m2 (a) (10pts) Draw necessary free-body diagrams, and the governing equations of motion of the system. (b) (10pts) Find the transfer function from the input u() to the output x(t). (c) (10pts) Given the system parameter values of m1-m2-1,...
5. 20% Consider the base excitation problem for the configuration shown in the figure. In this case the base motion is a displacement transmitted through a damper. Derive an expression for the force transmitted to the support in steady-state. (Hint: the force transmitted to the support is F=kx) 1 y(t)= Y sin e
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
F Fosin t m k 2 Figure Qla: System is subjected to a periodic force excitation (a) Derive the equation of motion of the system (state the concepts you use) (b) Write the characteristic equation of the system [4 marks 12 marks (c) What is the category of differential equations does the characteristic equation [2 marks fall into? (d) Prove that the steady state amplitude of vibration of the system is Xk Fo 25 + 0 marks (e) Prove that...
Structural Dynamics
(12 points) For the system shown below, 1. Determine A) The equation of motion. B) The maximum steady state force in the damper. C) The maximum steady state absolute acceleration. D) The maximum steady state force in the spring. Given: x(t)-2" sin(3.2t) W= 5000 lbs. K 1,863.4 lb/in C- 5 lb-s/in Ct)
(12 points) For the system shown below, 1. Determine A) The equation of motion. B) The maximum steady state force in the damper. C) The maximum...
xv mg mg Derive the equation of motion of the system. Find an equivalent mass and force to the systen (7 marks) Q2. Consider the following block diagram. Derive expressions for C(ó) and Ms). R(S)
1. Derive equation of motion 2. Use Laplace transformation to get the analytical solution. 3. Find expression of displacement and velocity Problems I. An instrument is attached to a base whose motion is to be measured. The relative motion between mass m and the base recorded by a rotating drum will indicate the motion of the base. Assume that x is the displacement of the mass, y is the displacement of the base, and z x-y is the motion of...