1. For the system shown in Figure 1. in determine the equations of motion taking degrees...
For the system shown in Figure 5, a. How many degrees of freedom is this system and why? (5) b. If x3-0 (the upper end is fixed and K1 and K2=K (5) Write the equations of motion. Set the necessary matrix to find the natural frequencies and mode shapes Determine and explain how to get the natural frequencies 1. (5) (5) 2. 3. Figure 5 ww ww- For the system shown in Figure 5, a. How many degrees of freedom...
44. The system shown in Fig. P7 consists of a slider block of mass m2 and a uniform slender rod of mass m3, length 13, and mass moment of inertia about its center of mass J The slider block is connected to the ground by a spring that has a stiffness coefficient k. The slider block is subjected to the force F(t), while the rod is subjected to the moment M. Obtain the differential equations of motion of this two-degree-of-freedom...
Problem 5 (20%) For the system shown in Figure 5, a. How many degrees of freedom is this system and why? (5) b. If x3 0 (the upper end is fixed and K1 and K2=K Write the equations of motion. Set the necessary matrix to find the natural frequencies and mode shapes (5) (5) (5) 1. 2. 3. Determine and explain how to get the natural frequencies. m2 Figure 5 www Problem 5 (20%) For the system shown in Figure...
Learning Goal: To apply the equations of motion to a system that involves rotation about a fixed axis and to use this information to determine key characteristics. The slender rod ABAB shown has a mass of m=53.0m=53.0 kgkg and is being supported by a rope and pulley system stationed at CC. Starting from rest (in the position shown), the rope and pulley system tug on the rod causing it to rotate about AA. The torque applied to the pulley is...
4. Derive the equations of motion for the shown two degrees system in terms of x and ?. Bonus 12.5 Pts: Derive and solve the characteristic equation for l = 4 m, m = 3 kg, ki-1 N/m, and k2 = 2 N/m. .
To apply the equations of motion to a system that involves rotation about a fixed axis and to use this information to determine key characteristics. The slender rod ABAB shown has a mass of m=51.0m=51.0 kgkg and is being supported by a rope and pulley system stationed at CC. Starting from rest (in the position shown), the rope and pulley system tug on the rod causing it to rotate about AA. The torque applied to the pulley is T=2.85T=2.85 kN⋅mkN⋅m...
For the system shown in Figure 6, a. How many degrees of freedom is this system and why? b. Write the equations of motion. For the remainder parts, assume alll the dampers are removed: c. If Ki=K3 and mim3, set the necessary matrix to find the natural frequencies and mode shapes d. For part c above, determine and explain how to get the natural frequencies. m1 Ty Absorber тз k1 С1 k3 m2 C2 For the system shown in Figure...
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...
To apply the equations of motion to a system that involves rotation about a fixed axis and to use this information to determine key characteristics. The slender rod AB shown has a mass of m=57.0 kg and is being supported by a rope and pulley system stationed at C. Starting from rest (in the position shown), the rope and pulley system tug on the rod causing it to rotate about A. The torque applied to the pulley is T=2.25 kN⋅m...
Solve a,b and c The vibratory movement of the engineering system shown in Figure 3 can be described by two generalised coordinates, x, a Cartesian coordinate, and 6, a polar coordinate systems. The mass m and its mass moment of inertia about an axis that goes through its centre of gravity G is J. When the system is slightly pushed down from the top comer at the right hand edge of mass m, the induced vibrational motion is found to...