determine the equivalent mass(meq)and equivalent spring stiffness of the system shown in the figure below using x as the generalized coordinate
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determine the equivalent mass(meq)and equivalent
spring stiffness of the system shown in the figure below using...
1. Determine the equivalent mass, equivalent stifiness and natural frequency of the system in the figure...
1. Determine the equivalent mass, equivalent stifiness and natural frequency of the system in the figure shown below. Use x as the generalized coordinate to describe the motion mo
2 with spring stiffness k 1000 N/m, Consider a mass-spring-damper system shown in Figure mass m...
2 with spring stiffness k 1000 N/m, Consider a mass-spring-damper system shown in Figure mass m = 10 kg, and damping constant c-150 N-s/m. If the initial displacement is xo-o and the initial velocity is 10 m/s (1) Find the damping ratio. (2) Is the system underdamped or overdamped? Why? (3) Calculate the damped natural frequency (4) Determine the free vibration response of the system.
For a mass-spring system shown in the figure below. Write the dynamic equations in matrix form...
For a mass-spring system shown in the figure below. Write the dynamic equations in matrix form and find the natural frequencies for this system, eigen values, eigen vectors and mode shapes assuming: m1=1 kg, m2=4 kg, k1=k3=10 N/m, and k2=2 N/m. / ر2 دی) x1(0) x2(0) K3 K1 W K2 mi W4 m2 (-?
Consider the system shown in the figure below. The mass moment of inertia of the bar...
Consider the system shown in the figure below. The mass moment
of inertia of the bar about the point O is JO, and the torsional
stiffness of the spring attached to the pivot point is kt . Assume
that there is gravity loading. The centre of gravity of the bar is
midways, as shown in the figure.
Question 2 Consider the system shown in the figure below. The mass moment of inertia of the bar about the point O is...
is Wn kea 4.9621 x 107 2.23 x 102 rad/s 1000 (a) Determine their equivalent stiffness (Figures A3 and A4) Rigd har...
is Wn kea 4.9621 x 107 2.23 x 102 rad/s 1000 (a) Determine their equivalent stiffness (Figures A3 and A4) Rigd har A (b) The cockpit of a firetruck is located at the end of a telescoping boom, as shown in fig AS. The cockpit, along with the fireman, weighs 2000 N. Find the cockpt natutal frequency of vibration in the vertical direction Bucket 1e copiag arm Fig A5
is Wn kea 4.9621 x 107 2.23 x 102 rad/s 1000...
4.2. 1ne TrexTomLY LIA15 dynamic moment of 12 Sin 2000t in N.m is Q5: In the structure that shown if a applied abou...
4.2. 1ne TrexTomLY LIA15 dynamic moment of 12 Sin 2000t in N.m is Q5: In the structure that shown if a applied about the hinge, K1=20000 N/cm, K2-30000 N/cm, Angular spring 100 Nm/rad, ml-2 Kg, m2-3 Kg X(t) is the used generalized coordinate, a 100 cm, b-200 cm. Derive the differential equation of the forced vibration using LaGrange method.
4.2. 1ne TrexTomLY LIA15 dynamic moment of 12 Sin 2000t in N.m is Q5: In the structure that shown if a...
QUESTION 4 (140 marks) Determine the damped frequency of the spring-mass system schematically illustrated below if...
QUESTION 4 (140 marks) Determine the damped frequency of the spring-mass system schematically illustrated below if the spring stiffness is 3000 N/m and the damping coefficient c is set at 320 Ns/m. If a periodic 260 N force is applied to the mass at a frequency of 2 Hz, determine the amplitude of the forced vibration. Spring Viscous damper 35 kg Figure 4
A2. Two identical simple pendulums are connected via a spring as it is shown in Figure A2. The length of the pendulum strut L-0.5m and the mass of attached bob m-2kg, the stiffness coefficient of the...
A2. Two identical simple pendulums are connected via a spring as it is shown in Figure A2. The length of the pendulum strut L-0.5m and the mass of attached bob m-2kg, the stiffness coefficient of the connecting spring is k-80Ns/m. 02 Figure A2. a) Using the free-body diagram method derive the following governing equations for the coupled pendulum system which are given below in matrix form b) Using the characteristic equation method or transformation to principal coordinates find out two...
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...
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...
ENERGY The spring-mass system shown in the figure is released with the string taut, from the...
ENERGY The spring-mass system shown in the figure is released with the string taut, from the unstretched position of the spring (stiffness k). Neglecting friction, determine the velocity of mass B when it has moved through a distance of x Assume x < 4mg/k. FIND Y" IN TERMS of A mg, x, k 2m/B
1. Determine the equivalent mass, equivalent stifiness and natural frequency of the system in the figure shown below. Use x as the generalized coordinate to describe the motion mo
2 with spring stiffness k 1000 N/m, Consider a mass-spring-damper system shown in Figure mass m = 10 kg, and damping constant c-150 N-s/m. If the initial displacement is xo-o and the initial velocity is 10 m/s (1) Find the damping ratio. (2) Is the system underdamped or overdamped? Why? (3) Calculate the damped natural frequency (4) Determine the free vibration response of the system.
For a mass-spring system shown in the figure below. Write the dynamic equations in matrix form and find the natural frequencies for this system, eigen values, eigen vectors and mode shapes assuming: m1=1 kg, m2=4 kg, k1=k3=10 N/m, and k2=2 N/m. / ر2 دی) x1(0) x2(0) K3 K1 W K2 mi W4 m2 (-?
Consider the system shown in the figure below. The mass moment
of inertia of the bar about the point O is JO, and the torsional
stiffness of the spring attached to the pivot point is kt . Assume
that there is gravity loading. The centre of gravity of the bar is
midways, as shown in the figure.
Question 2 Consider the system shown in the figure below. The mass moment of inertia of the bar about the point O is...
is Wn kea 4.9621 x 107 2.23 x 102 rad/s 1000 (a) Determine their equivalent stiffness (Figures A3 and A4) Rigd har A (b) The cockpit of a firetruck is located at the end of a telescoping boom, as shown in fig AS. The cockpit, along with the fireman, weighs 2000 N. Find the cockpt natutal frequency of vibration in the vertical direction Bucket 1e copiag arm Fig A5
is Wn kea 4.9621 x 107 2.23 x 102 rad/s 1000...
4.2. 1ne TrexTomLY LIA15 dynamic moment of 12 Sin 2000t in N.m is Q5: In the structure that shown if a applied about the hinge, K1=20000 N/cm, K2-30000 N/cm, Angular spring 100 Nm/rad, ml-2 Kg, m2-3 Kg X(t) is the used generalized coordinate, a 100 cm, b-200 cm. Derive the differential equation of the forced vibration using LaGrange method.
4.2. 1ne TrexTomLY LIA15 dynamic moment of 12 Sin 2000t in N.m is Q5: In the structure that shown if a...
QUESTION 4 (140 marks) Determine the damped frequency of the spring-mass system schematically illustrated below if the spring stiffness is 3000 N/m and the damping coefficient c is set at 320 Ns/m. If a periodic 260 N force is applied to the mass at a frequency of 2 Hz, determine the amplitude of the forced vibration. Spring Viscous damper 35 kg Figure 4
A2. Two identical simple pendulums are connected via a spring as it is shown in Figure A2. The length of the pendulum strut L-0.5m and the mass of attached bob m-2kg, the stiffness coefficient of the connecting spring is k-80Ns/m. 02 Figure A2. a) Using the free-body diagram method derive the following governing equations for the coupled pendulum system which are given below in matrix form b) Using the characteristic equation method or transformation to principal coordinates find out two...
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...
ENERGY The spring-mass system shown in the figure is released with the string taut, from the unstretched position of the spring (stiffness k). Neglecting friction, determine the velocity of mass B when it has moved through a distance of x Assume x < 4mg/k. FIND Y" IN TERMS of A mg, x, k 2m/B
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