012) Write the equation of motion if the system is undamped as shown above and derive the displacement response of the...
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. y()-Ycos wt C2
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. y()-Ycos wt C2
2. The equation of motion for an undamped forced vibration system is given as, * + 169x = 40t Determine the response by Convolution Integral method
Question Four (a) Determine the response x() for the undamped system subjected to the force F as shown below and given by: ts 0.1s F(t) =-600t +120 0.1 <t s 0.2 s t> 0.2s 600t 0 The mass is initially at rest with x 0 at time 1 0. (b) Find the displacement of the mass at 1 0.25 s. k 75 N/m 0.75 kg F), N 1, S 0.2 0.1
Question Four (a) Determine the response x() for the...
Using the energy method, try to derive the equation of motion for system shown in the Figure.
Using the law of conservation of energy derive the equation of motion for system shown in the Figure. 060
2) Use the Duhamel integral method to derive the expressions for the response of the undamped system subjected to the forcing functions shown in fig A. Set up the expression for x[t) in fig. B Ft 0.sto MA 2+ 0.5 € Fig A
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
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.
In the pulley system shown in Figure P2.33, assume that the cable is massless and inextensible, and assume that the pulley masses are negligible. The force f is a known function of time. Derive the system's equation of motion in terms of the displacement. For the system shown in Figure P2.34, the solid cylinder of inertia I and mass m rolls without slipping. Neglect the pulley mass and obtain the equation of motion in terms of x.
09. For the two degrees of freedom system shown in Figure 4, determine the steady state response of the system due to a sinusoidal force Fi() 10sin10r applied to the mass block whose displacement isn. Given m = 10 kg, k = 1000N rn and the equations of motion of the system are -지 3m
09. For the two degrees of freedom system shown in Figure 4, determine the steady state response of the system due to a sinusoidal force...