For the system shown, determine the natural frequency and period assuming the weigh of the block...
Problem 3: Find the natural frequency of the system shown in Figure 3. Problem 4: In the mechanical system shown in Figure 4, assume that the rod is massless, perfectly rigid, and pivoted at point P. The displacement x is measured from the equilibrium position. Assuming that x is small, that the weight mg at the end of the rod is 5 N, and that the spring constant k is 400 N/m, find the natural frequency of the system. 2a...
Determine the natural frequency of vibration of the system shown in Fig. 1-1. Assume the bar AB to be rigid and weightless with c as the mid-point. k3 Fig. 1-1.
Advanced Vibrations Problem 3 Find the equivalent spring constant and determine natural frequency and period of oscillation of mass m The cantilever beam is made of steel so that E 2.1 x 1011 N/m2, and m 20 kg. L=1 m 0.1 m 0.01 m k-2000 N/m
QUESTION 1:(15 points) Determine the natural frequency of the system corsisting of a cantilever beam and a spring in Fig.1. Assuming the beam and the spring to be massless, the system has the single DOF defined as the vertical deflection under a weight W 1.2kN .The beam has a length L=4m and the flexural rigidity EI = 2400 kM㎡. The spring has the stiffness 60 kN/m . EI t L Fig.1
Vibration solve 1.2 by using numbers (values) from 1.1 1.1 Determine the natural period for the system in Fig. P1.1. Assume that the beam and springs supporting the weight Ware massless. Fig. P1.1 1.2 The following numerical values are given in Problem 1.1: L = 100 in, EI - 10% (b.in), W=3000 lb, and k = 2000 lb/in. If the weight W has an ini- tial displacement of yo = 1.0 in and an initial velocity Vo = 20 in/sec,...
A spring-mass-dashpot system for the motion of a block of mass m kg is shown in Fig. II-2. The block is moved to the right of the equilibrium position and is released from rest (time t = 0) when its displacement, x = XO. Using the notations given in Fig. II-2,4 (1) Draw the free body diagram of the block - (2) Write the equation of motion of the block- If the initial displacement of the block to the right...
A spring-mass-dashpot system for the motion of a block of mass m kg is shown in Fig. II-2. The block is moved to the right of the equilibrium position and is released from rest (time t = 0) when its displacement, x = XO. Using the notations given in Fig. II-2,4 (1) Draw the free body diagram of the block - (2) Write the equation of motion of the block- If the initial displacement of the block to the right...
Problem 1: Consider the block functional diagram of the satellite attitude control system shown in Figure (a), here below. The output of this system exhibits continued oscillations and is not desirable. This system can be improved by using a tachometer feedback. Ki, as shown in Figure (b). Assuming that = 4, using block diagram algebra and theory of time performance specifications for second order systems, please, compute: (1) the value of the gain K such that closed loop transfer function...
Q3. For the rotational system subjected to an applied torque Mocosout shown in Figure 3, the rotary inertia of the rigid bar about the hinge O can be calculated by Jo =7ml /48. Given k = 5,000N/m, 1 - 1m, m = 20 kg, Mo = 100 Nm, c = 130 rpm. Assume rotation angle is very small, (i) Draw the free body diagram; (ii) Use Newton's 2nd law to derive the equation of motion of the system; and (iii)...
A reciprocating pump weighing W-150 lb, is mounted at a middle of a steel plate of thickness 0.5 in., width of 20 in., and clamped along two edges as shown. During operation of pump, the plate is subjected to a harmonic force F(t)-P, . cos(ω·) [lb] 0.5 in. 100 in. where the amplitude of harmonic force is Fo=50 lb and its angular frequency: ω-62832 radl s Model the system as a simple spring and mass system in the horizontal plane....