Determine the equation of motion for the system shown in the figure below using the variables given in the figure. Note the mass moments of inertia of the load and the motor are J₁ and Jm, respectively. T(t) is the input torque, 0₁ (t) and 02 (t) are the output angles. Om Flexible Flexible shaft 01 Flexible shaft 02 shaft J1 Motor K1 K₂ K3 Jm Rigid B shaft T(t)

Please illustrate the graphs  K = 2 N/m m = 1/2 kg

Q4-6 please

For the double slider mechanism shown in the following figure, the crank OA rotates at a uniform speed of 100 rad/s CW. we need to find the required torque for the crank, if two forces act at sliders B and C as shown in the figure. (P = 2KN, Q = 1KN). OA = 30 cm, AB = AC = 100 cm. mB = mC = 1 Kg. Neglect other links weights. The velocity of slip of slider B in m/s2 = Answer 1 Choose... The velocity of slip of slider C in m/s2 = Answer 2 Choose... The acceleration of slip of slider B in m/s2 = Answer 3 Choose... The acceleration of slip of slider C in m/s2 = Answer 4 Choose... The magnitude of required torque for the crank in N.m = Answer 5 Choose...

The quarter-car model of a vehicle suspension and its free body diagram are shown in Figure 1. In this simplified model, the masses of the wheel, tire, and axle are neglected, and the mass m represents one-fourth of the vehicle mass. The spring constant k models the elasticity of both the tire and the suspension spring. The damping constant c models the shock absorber. The equilibrium position of m when y=0 is x=0. The road surface displacement y(t) can be derived from the road surface profile and the car’s speed. Draw free body diagram (FBD) and derive the equation of motion of m with y(t) as the input, and obtain the transfer function. If assume: m=300 kg k=20000, 40000, 60000 N/m c=1000, 3000, 5000 N.s/m Plot magnification ratio vs frequency ratio (r=0-4) diagrams for the parameters given above (you can draw the three curves in one diagram for three different k values and do the same for the three c values as well). Use the derived transfer function to model the system and plot…

Please solve in statics quickly

vibrations - solve and show solution

Motor is driving a gear attached to the linkage in the mechanism as shown: Let r₁ r₂ = 10mm; c= 22mm; b= 100mm; a = 3mm; Determine the functions , of velocity of the slider with parameters (a,b,c) using the vector approach. (Hint: gears do not slip, link o-D is attached rigidly to the gear, pins at E and D allow free rotation) Schematic of kinematics: Velocity vector of point D: Velocity vector of point E: Equation of Velocity for the link E to F: b r₁ 12 Wm

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 m

Question 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 b