Body m Road Suspension Datum level Figure 1
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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 the step response for the system by Matlab or Simulink.
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- Dragam of am Facep Toad Aorce Sen sor I Daw Free Balg Digam 2. How would you fhnd Force of brep nclude formula and cxplnatsonQ5: a hydraulic press is used to compact powdered samples. The device is made of two interconnected cylindrical chambers filled with oil if density psubscripto anc closed by two pistons. The small chamber on the right has diameter d and the large chamber on the left has diameter 5d. A lever is attached to the piston pushing down on the fluid in the small cylinder. The horizontal lever is hinged on the left, at distance L from the small piston, and a force of magnitude Fsubscript0 is applied vertically down at distance 2L from the hinge (Fig.5). You may assume that the lever and pistons have negligible mass. a. Determine the magnitude of the force Fin that the small piston exerts on the fluid in the small cylinder. Hint: you may consider that the lever is at rest in the horizontal position. b. Determine the pressure change applied to the fluid by the small piston. c. Determine the magnitude Fout of the force that the fluid applies to the large piston.Hi can you help with this im struggling
- QV: a hydraulic press is used to compact powdered samples. The device is made of two interconnected cylindrical chambers filled with oil if density psubscripto anc closed by two pistons. The small chamber on the right has diameter d and the large chamber on the left has diameter 5d. A lever is attached to the piston pushing down on the fluid in the small cylinder. The horizontal lever is hinged on the left, at distance L from the small piston, and a force of magnitude Fsubscript0 is applied vertically down at distance 2L from the hinge (Fig.5). You may assume that the lever and pistons have negligible mass. a. Determine the magnitude of the force Fin that the small piston exerts on the fluid in the small cylinder. Hint: you may consider that the lever is at rest in the horizontal position. b. Determine the pressure change applied to the fluid by the small piston. c. Determine the magnitude Fout of the force that the fluid applies to the large piston.the guy on images diving to the water. his limbs are fully tense when w1=0.22 rad/s what is w2=?13 см Vaxn's 29cm 26cm !- Stancs X ax. 5. Find The location of conter of gravity
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