Question

Question 3. A crank shaft mechanism is shown in Figure 3. Link Bis rotating with a constant angular velocity wgaz in the fixed reference frame A as shown in the figure. For this mechanism: (a) Using the vector kinematic equations and methods taught in this [20 marks] module, obtain the expressions for velocity and acceleration of point in the fixed frame A, in terms of wg.ls.c. and e. (b) Velocity analysis using MATLAB: As link B undergoes one full turn starting from 8 = 0 0). Plot the velocity of point Q versus e. [6 marks] (1). Find the maximum magnitude of velocity of point and the [2 marks] corresponding value of e. (ii). Find values of e for which the velocity of point is zero and [2 marks] explain why the velocity is zero at those values of e. (c) Acceleration analysis using MATLAB: As link B undergoes one full turn starting from 0 = 0: 0. Plot the acceleration of point Q versus 6. [6 marks) (). Find the maximum magnitude of acceleration of point Q and the [2 marks] corresponding value of e. (i). Find values of for which the acceleration of point is zero and [2 marks] explain why the acceleration is zero at those values of 0. Total: [40 marks] Use lg - (10 + 2x) cm, lc - (60 - x) cm, and wg - 1500 rpm (round per minute), for parts (b) and (e), in which x is the last digit of your student number. For example If x=0,- 10 cm and lc - 60 cm, If x= 6−1, = 22 cm and le = 54 cm. Link C Link B az WA А Figure 3 End of Assessment Brief Page 55
x=3

Answer 1

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