Mechanical Engineering Question Help

a3: -4

a4: 96

a5: 0.44

a6: 5 mm

a7: 115 mm

a8: 49 mm

a9: 45 mm

a10: -39

a11: 69

a12: 0.33

A slider crank mechanism is exposed to a1 N force and an unknown T torque. The angular velocity a3 [rad/s] and angular acceleration a4 [rad/s^2] of the driver link (2) are given. Chose the length of the coupler such that the driven link can meet the Grashof condition.

When graphical solution is required use ruler and compass. All steps must be visible. To calculate the numerical results of your analytical solution, you can use Matlab, but you must include the code in your exam and you must submit the code to D2L as well. Please note that all preceding steps must be written and only the numerical value can be solved by Matlab. Purely Matlab based equations will not be accepted.

Submission guidelines and exam protocol are listed clearly in the syllabus.

Problem 1

Calculate the value of the T torque, assuming no friction between the slider and the ground. Use the free body diagram method. For the motion property calculations (velocity, angular acceleration, etc) use the analytical AND the polygon methods to double check your work.

Problem 2

Confirm your torque calculation with the power formula method. Compare your results.

Problem 3

Assuming a 𝜇 _=_ _𝒂𝟓 _kinetic friction coefficient, recalculate the T torque with the FBD method.

Problem 4

Now assume that the same mechanism is at static equilibrium. This time T torque does not apply. However there is a spring with unknown spring constant installed to the left of the slider. This spring builds up enough force to hold the mechanism at static equilibrium by the time the driver crank rotated a10 degrees and the spring compressed or stretched a11 mm. What spring constant is necessary to achieve these conditions?

Problem 5

How does the spring coefficient change if we assume a12 static friction coefficient? [provide a precise range]