Q8: spring system with stiffness 5KN/m,deflection X= 3.2 mm, determine the strain energy and their effect.
Q7 (a): For the problem above, determine the equivalent stiffness of the cable (spring constant) in N/m. 100 kg, l1-27 m, 12-27.070 m, x0 -27 mm, Take m Initial velocity, xo 36 mm/s QUESTION 9 Q7 (b): For the above problem, determine the amplitude of the vibration response of the given system, .in mm. n-31.321 rad/s. Take x0-30 m m. Initial velocity, xo-24 mm's and Q7 (a): For the problem above, determine the equivalent stiffness of the cable (spring constant)...
(a) Using the direct integration method, determine the deflection (in mm) at midspan (halfway along the span) of the following beam. The beam's flexural stiffness, EI, is 2x 1012 Nmm2. (b) Using the direct integration method, determine where the maximum deflection occurs along the span and calculate the maximum deflection in mm) at that point. The beam's flexural stiffness, EI, is 2x 1012 Nmm2. 15 kN/m 7
A mass m on a spring of stiffness k undergoes horizontal simple harmonic motion with amplitude A, centered around x = 0. a) What is the total "mechanical" energy (kinetic plus potential) of the mass-spring system? b) What is the value of x when the mass-spring system has twice as much kinetic energy as potential energy? Your answers should be in terms of the quantities m, k, and A--or some subset thereof.
A spring has a spring stiffness constant k of 80.0 N/m . How much must this spring be compressed to store 50.0 J of potential energy?x= (?)m
A mass of 50kg is hung from a spring of stiffness ?=?.?×105 (?/? ) and damper ?=100 ?.?/? , which is attached to two aluminum beams with ?=71×109 (Pa), moment of inertia ?=?.?×10−? (??), and length of 255 (mm ). The beam is supported at its free end. Determine: (a) Equivalent stiffness and equation of motion of the system. (b) Damped natural frequency of the system (??) in (Hz). (c) Free vibration response of the system in time domain,?(?), when...
determine the equivalent mass(meq)and equivalent spring stiffness of the system shown in the figure below using x as the generalized coordinate neral MES 382: Vibration & Noise Control Determine the equivalent mass (megl and equivalent spring stiffness (kea) of the syslem shown in the figure below using x as the generalized coordinate. b. ko Jo k2 k1
Please write legibly Consider an ideal mass-spring-damper system similar to Figure 3.2. Find the damping coefficient of the system if a mass of 380 g is used in combination with a spring with stiffness k = 17 N/m and a period of 0.945 s. If the system is released from rest 5 cm from it's equilibrium point at to = 0 s, find the trajectory of the position of the mass-spring-damper from it's release until t 3s Figure 3.2: Mass-spring-damper...
Problem A spring-mass system has mass of 0.5 kg and stiffness coefficient of 32 N/m. The system is given initial conditions xo = -1 mm and vo -8 mm/s. a) Calculate the maximum values of displacement, velocity and acceleration. b) Calculate the phases of the displacement, velocity and acceleration.
A mass of 0.3 kg is suspended from a spring of stiffness 200 Nm–1 . The mass is displaced by 10 mm from its equilibrium position and released, as shown in Figure 1. For the resulting vibration, calculate: (a) (i) the frequency of vibration; (ii) the maximum velocity of the mass during the vibration; (iii) the maximum acceleration of the mass during the vibration; (iv) the mass required to produce double the maximum velocity calculated in (ii) using the same...
M M Find the Spring Stiffness, K2, for the system above. The system initially, the configuration of the left, had a natural frequency of 8 Hz. Later, the system after removing, K2, the frequency increased to 12 Hz. Where: K = 1 N/m