Example 2y+2y+yconst 2v,+2v+e0 2a+2a,+ac0 Drawing the motion and Write the system equation 12
Write the differential equation of motion for the system shown in the figure, and find the damped natural frequency and damping ratio of this system.
For the following system (a) write the equation of motion in terms of the vertical displacement of mass that both pulleys are massless and frictionless m and (b) find the natural frequency of the system. Assume X 4h аЕ во
Write the equations of motion of the system shown in Figure P4.3, using Lagrange's equation. Write the equations in terms of x, and X. M Figure P4.3
Write the equation of motion and Laplace transform for the following system knowing that Assume zero initial conditions.
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...
V8-7. Write the equation of motion for the given system with y as the dependent variable. Obtain the expression for the undamped natural frequency. What restriction is necessary in order to treat it as a linear system? cable
Consider the system below, write the equation of motion and calculate the response assuming that the system does not have any initial displacement and is initially at rest. Additionally, for the values ki =500 N/m, k2 = 300 N/m, m= 100 kg, and F(t) = 10 sin(10) N. FC
3. Consider the system shown in Figure 2. Write down the equation of motion and comment on its stability. Fringen c.g. V mg Oo Figure 2
1: The equation dy + 2y = xy-2 is an example of a Bernoulli equation. (a) Show that the substitution v = y; reduces eqauation to do + 6u = 3x. (b) Find the general solution to the equation in part(a).
Problem 4 Write the equation of motion of the system shown in Figure 3 using either Newton's law or the principle of conservation of energy. Pulley, mass moment of inertia J. x(1) Figure 3