You are required to design a mechanism to move the piston of a pump linearly. (a crank-slider mechanism is suggested).

The mechanism should convert the rotary motion of an electric motor into a linear motion capable of displacing the piston forward and backward.

• The distance L that the piston must travel corresponds to 174 cm
• The motor powering your mechanism rotates at a constant angular velocity of 69 RPMs

You must complete the following tasks:

1. Draw the mechanism you will use to activate the pump. You must demonstrate that by using the rotary motion of a motor, the mechanism pushes the pump piston forward and backward over a distance L. Include measurements of your links and demonstrate that they perform the desired movement.
2. Describe the equation of the components on the X and Y axes, the position, velocity and acceleration of the piston as functions of time (if you use a crank-slider mechanism, the motor directly rotates the crankshaft). You must include the procedure to obtain these equations and plot them as a function of time.
3. There is a force F opposing the piston's linear movement, which is constant in magnitude and equal to 269 Newtons. Neglecting the mass of the mechanism and piston, calculate the motor torque required to move the piston as a function of time. Also, calculate the forces on the links of your mechanism. You must include the entire procedure to calculate these forces and torque and plot them as functions of time.
4. The diameter of the cross-sectional area of the pump piston is 15 centimeters. The valves allow the water to leave only one chamber and enter the opposite one. Describe the equation of the outflow from the pump as a function of time and plot it.
    

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