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- In Figure.4, a car wheel balancer device is used to estimate the location/direction and mass value needed to be attached to the wheel in order to statically balance it and prevent vibration during driving. Your role is to calibrate the system measurement by constructing theoretical calculation of a sample wheel and compare it with the results of the computer. The unbalanced wheel can be modelled as in Figure.5 and the four distributed point-mass as in Table.2.The mass m in the given figure is attached to a rigid rod with an inertia /about the pivot and negligible pivot friction. The input is the displacement z. When z= 0 = 0, the spring is at its free length. k ww L3 I a. Assuming that 0 is small, identify the equation of motion for e with z as the input. (Submit for Feedback using Connect) b. Use the Laplace transform method to determine the characteristic equation for this system. c. Solve this for the step response, 0(t), for the following system parameters and if the amplitude of the input step is z = 4 mm: System_Parameters = (k = = 100000.0 c = 1200.0 L = 0.03 L2= 0.04 L = 0.1 m= 2.0 I= 0.8 g=9.81 units : k - N; c~~ N.s. L1, L2, L2 ~ m; M ~ kg; 1 ~ kg · m²; g ~ ; m. m mGiven the vibrating system below: K4 K2 Solve for the following: 1. Keq 2. Ceq K1 3. Natural angular velocity 4. Damped angular velocity. 5. Type of Damping K3 m C4 C2 F C1 C5 C3 F(t) = 200cos20t M = 10 kg K1=100 N/m K2= 80 N/m K3=75 N/m K4= 120 N/m C1 = 20Ns/m C2= 40 Ns/m C3= 35Ns/m C4= 15 Ns/m C5= 10 Ns/m *** Show your correct and complete solution neatly in this vibration problem. ASAP! *** Thank you!
- A student is asked to design a four bar crank-rocker mechanism that satisfied Grashof mechanism with following condition: time ratio is 1:1.4, rocker is 70 mm and maximum oscillation angle is 60 degree. (ii) Solve the angles a, ß and ô for crank-rocker mechanism following the condition given. (iii) Based on information in Q2(ii), design the four bar crank-rocker that satisfied all the condition given. Please label all the links and angles a, ß and ô in your design. (iv) If time ratio of this mechanism becomes 1, construct the kinematics diagram of the crank- rocker mechanism. Please label all the links and angles a, ß and d in your design.1. Find the differential equations for a fixed axis of rotation system shown in Figure 1. The inertia is in contact with a mass M attached via a spring of stiffness K to a fixed wall. The inertia-mass contact is subject to viscous friction of coefficient fv. The motion of the mass with respect to the horizontal floor is subject to the same viscous friction coefficient fv. The system input is a horizontal force f(t) on the mass M and the output is the rotation e(t)of the inertia. K fv fv Figure 1 J M A f(t)Given the vibrating system below: K4 Solve for the following: K2 K1 K3 3 C4 C2 C1 C5 C3 F(t) = 200cos20t M = 10 kg K1=100 N/m K2= 80 N/m K3=75 N/m K4= 120 N/m C1 = 20Ns/m C2= 40 Ns/m C3= 35Ns/m C4= 15 Ns/m C5= 10 Ns/m 1. Damped angular velocity. 2. Type of Damping 3. Equation of motion x(t). Assume Initial conditions for displacement and velocity. 4. Graph 2 cycles of the vibrating system. You can use third party app for this. *** Show your correct and complete solution neatly in this vibration problem. ASAP! Thank you! ***
- 2. A kilogram mass is attached to the end of the spring with spring constant 2 N/m. Find the equation of motion if the mass is initially released (set in motion) from rest from a point 1 meter above equilibrium position. (Use the convention that displacements measured below the equilibrium position are positive.) (a) Write the initial-value problem which describes the position of the mass. (b) Find the solution to your initial-value problem from part (a). (c) Graph the solution found in (b) on (0Question 9: Figure 3 shows a mechanical system. The rod (with moment of inertia J) rotates about the pivot at only small rotation angles. As pictured, theta is positive clockwise. Attached is mass m, which moves positive to the right. When stationary in the position shown, all springs are undeflected. Using BOBODDY, find the mathematical model of this system assuming small rotation angle 0. Link, moment of inertia J k3 L₁ 12 5 Ꮎ wwww Figure 3: Mechanical System m k₂ bA scotch yoke (shown in the figure), is a mechanism that transforms the circular motion of a crank into the reciprocating motion of a shaft (or vice versa). It has been used in a number of different internal combustion engines and in control valves. In this example, rod BC (13) has a length of 5 and rotates at a constant angular velocity of 2 rad/sec. for the loop closure shown, use Chace Method to perform position analysis to determine rand r2. B D T3 03 = 30° 71 T26. The electro-mechanical system shown below consists of an electric motor with input voltage V which drives inertia I in the mechanical system (see torque T). Find the governing differential equations of motion for this electro-mechanical system in terms of the input voltage to the motor and output displacement y. Electrical System puthiy C V V₁ R bac (0) T bac T Motor - Motor Input Voltage - Motor Back EMF = Kbac ( - Motor Angular Velocity - Motor Output Torque = K₂ i Kbacs K₁ - Motor Constants Mechanical System M T Frictionless SupportA student is asked to design a four bar crank-rocker mechanism that satisfied Grashof mechanism with following condition: time ratio is 1:1.4, rocker is 70 mm and maximum ocillation angle is 60 degree. (ii) Solve the angles a, ß and 8 for crank-rocker mechanism following the condition given (iii) Based on information in Q2(ii), design the four bar crank-rocker that satisfied all condition given. Please label all the links and angles a, ß and d in your design. the (iv) If time ratio of this mechanism becomes 1, construct the kinematics diagram of the crank- rocker mechanism. Please label all the links and angles a, ß and d in your design.Consider the system shown below. Answer Questions 6-11 based on this figure. How many degrees-of-freedom does the system shown below has? The two pulleys have the identical mass, radius, and the moment of inertia. т, 1, R k т, 1, R Variables x: vertical position of the moving pulley 8: rotation of the moving pulley p: rotation of the fixed pulley m: pulley mass R: pulley radius I: mass moment of the pulley about its own center of mass. k: spring stiffness T: cable tension Assumptions 1. x = 0, 0 = 0, and o = 0 when the spring is undeformed. 2. The cables and springs have negligible mass. 3. There is no slip between the pulley and the cable. 4. Only two-dimensional planar motion is allowed.SEE MORE QUESTIONS