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The study of motion without considering the forces that cause that motion is known as kinematics. The study of the relative motion of machine parts is known as kinematics. Studying machine parts' location, displacement, velocity, and acceleration are its elements. The discipline, often known as the geometry of motion, employs algebra to model these motions mathematically.

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**Q1:**PROBLEM 3 (30 points)Due to slipping, points A and B on the rim of the disk have the velocities shown. Determine the velocity of point D at this instant.1. Using the relative equation 2. Using the IC method See Answer**Q2:**When trying to minimize the force à follower imparts on an object,what should you focus on minimizing during your design process? O jerk displacement velocity O accelerationSee Answer**Q3:**1- For an offset slider crank mechanism with a=3 (crank), offset =2 (c=2) and 02=-30, determine "b"to have just one mode. After finding the b, do the displacement analysis analytically. (15 Points) See Answer**Q4:**feedback by adjusting the switch "on time" ton to that fraction of the switching period Trequired to hold the output constant.The switching frequency is set at 50 kHz. The input voltage Vin varles from 10 V to 40 v.Calculate the minimum inductance Lrequired to keep the converter operation in a continuous-conduction mode under all conditions (Vin= 10 V to 40 V). [Select the one best answer from the choices given below.) See Answer**Q5:**A switching circuit shown in the figure below operates to transfer the energy stored in the capacitor (EC = CVC/2) intoenergy stored in the inductor (EL = LIL/2), with components L= 100 mH, C= 1000 pF, and an ideal diode. Theswitch S is operated at constant duty cycle D= 0.5 and a switching frequency fs - 10 klz. At t=0 the capacitor ischarged to an initial voltage VC = 100 V and the inductor current is zero. Assume that switching frequency is muchgreater than the circuit resonant frequency; i.e., 2nfs >> (LC)-/2. After many switching cycles, all of the charge onthe capacitor will be transferred into inductor current. Determine the final value of inductor current IL if all thecapacitor energy in transferred into inductive energy. (Select the one best answer from the choices given below.) See Answer**Q6:**The 3-lb block A is hanging in the stationary position shown when it is hit by the 5-oz ball B. If the velocity of ball B just before it hits block A is 40 ft/s as shown, determine the velocity of ball B and the velocity of block A immediately after the impact (Specify the direction of the results). Assuming the coefficient of restitution between A and B is e = 0,7. Determine the maximum angle 0that block A swings through. See Answer**Q7:**A sketch of a front loader is shown in Figure 1. a. Draw a kinematic diagram of the mechanism. b. Specify the number of links, the number and the type of joints,and calculate the mobility for the mechanism See Answer**Q8:**The dc-dc converter shown below contains a very large inductor, L, and a large capacitor, C. The non-ideal (practical)switch drops Vo = 2.5 V across it when it conducts, and diode D drops Vp = 1.25 V across it when it conducts. Thecircuit is operating under the following conditions: D = 0.6 , I1 = 10 A, and V1 = 10 V. Determine V2. [Select theone best answer from the choices given helow 1 See Answer**Q9:**A transfommer-coupled dc-dc converter is shown in the figure below. Assume the transformer isideal. What is the voltage conversion ratio VB/VA forthis converter assuming periodic steady-state continuous conduction mode operation? (Select the one best answer from the choices givenbelow.) \text { (a) } \frac{V_{B}}{V_{A}}=\frac{N D}{1-D} \text { (b) } \frac{V_{B}}{V_{A}}=\frac{N}{1-D} \text { (c) } \frac{V_{B}}{V_{A}}=N D \text { (e) } \frac{V_{B}}{V_{A}}=\frac{1-D}{N} \text { (f) } \frac{V_{B}}{V_{A}}=\frac{1}{N D} \text { (g) } \frac{V_{B}}{V_{A}}=-\frac{N D}{1-D} \text { (h) } \frac{V_{B}}{V_{A}}=-\frac{N}{1-D} \text { (i) } \frac{V_{B}}{V_{A}}=-N D \text { (j) } \frac{V_{B}}{V_{A}}=-\frac{(1-D)}{N D} \text { (k) } \frac{V_{B}}{V_{A}}=-\frac{(1-D)}{N} \text { (I) } \frac{V_{B}}{V_{A}}=-\frac{1}{N D}See Answer**Q10:**Consider the step-down (buck) dc-dc converter shown in the figure below, in which all components are ideal. Assume the output voltage Vo = 5 V, held constant by controlling the duty cycle D = ton/T; the PWM control responds to the output voltage feedback by adjusting the switch "on time" ton to that fraction of the switching period T required to hold the output constant.The switching frequency is set at 50 kHz. The input voltage Vin varies from 10 V to 40 V.Calculate the minimum inductance L required to keep the converter operation in a continuous-conduction mode under all conditions (Vin= 10 V to 40 V). [Select the one best answer from the choices given below.] See Answer**Q11:**PROBLEM 1 (30 points)Determine the angular velocity of link CD if link AB has the angular velocity shown. 1. Use the relative equation 2. Use the IC method See Answer**Q12:**Scan and Upload all you work.Without detailed work on paper, you cannot earn credit.See Answer**Q13:**Scan and Upload all you work.Without detailed work on paper, you cannot earn credit.See Answer**Q14:**\text { (a) } \frac{V_{B}}{V_{A}}=\frac{N D}{1-D} \text { (b) } \frac{V_{E}}{V_{A}}=\frac{N}{1-D} \text { (c) } \frac{V_{B}}{V_{A}}=N D \text { (d) } \frac{V_{B}}{V_{A}}=\frac{(1-D)}{N D} \text { (c) } \frac{V_{D}}{V_{A}}=\frac{1-D}{N} \text { (f) } \frac{V_{B}}{V_{A}}=\frac{1}{N D} \text { (ह) } \frac{V_{R}}{V_{A}}=-\frac{N D}{1-D} \text { (h) } \frac{V_{B}}{V_{A}}=-\frac{N}{1-D} \text { (t) } \frac{V_{B}}{V_{A}}=-N D \text { () } \frac{V_{B}}{V_{A}}=-\frac{(1-D)}{N D} \text { (I) } \frac{V_{B}}{V_{A}}--\frac{1}{N D}See Answer**Q15:**QUESTION 610 poIn the push-pull converter shown in the figure below. Vs = 24 V, N1 = 80 turns (40 turns each side of the center tap), N2 = 40turns, R= 10 2. Lm = 500 uH, C = 200 µF, and fs = 40 kHz. The diodes are ideal; i.e., each has zero voltage drop. Theconverter is operating in the continuous inductor current mode. For the case when the output voltage Vo = 12 V, determine thepercent output voltage ripple. (Select the one best answer from the choices given below.) See Answer**Q16:**5. (10 points) Calculate the mobility using the Kutzbach criterion. Clearly number each link and label the lower pairs (j,) and higher pairs (j,) on the diagram. Comment on whether the calculated mobility makes sense. # of binary links: # of ternary links: # of quaternary links: i, joints: jz joints: Consider the vehicle body and wheels to be stationary, as part of the fixed ground. See Answer**Q17:**A four-bar mechanism is shown below. (A) (10 points) Use the method of Instant Centers and AVRT to calculate wz and wa. Reportthe directions of each. (B) (6 points) Find the magnitude and direction of the absolute velocity of point C on theslider. (C) (5 points) Find the magnitude and direction of the absolute velocity of point D on link 3. See Answer**Q18:**2- Problem 5.8: . A 1130-kg car is held in place by a light cable on a very smooth(frictionless) ramp, as shown in Fig. E5.8. The cable makes an angle of 31.0° above thesurface of the ramp, and the ramp itself rises at 25.0° above the horizontal. (a) Draw afree-body diagram for the car. (b) Find the tension in the cable. (c) How hard does thesurface of the ramp push on the car?bleSee Answer**Q19:**A four-bar linkage is shown below. anUse the method of Instant Centers and AVRT to calculate w3 and w4 Find the magnitude and direction of the absolute velocity of point P on See Answer**Q20:**3. ACCELERATION: A four-bar linkage is shown below. Find the magnitude and direction of a, and a. (B) (5 points) Find the magnitude and direction of the absolute acceleration ofpoint E on link 3. RAD= 10 cm, RBp = 15 cm, RBc = 60 cm; RCE = 65 cm; RĘF = 15 cm(Note: ADB and FEC are right triangles.) w2 = 2 rad/s cw az = 1 rad/s? ccw A velocity analysis has already been completed. resulting in these values: W3 = 0.449 rad/s ccw Wa = 0.462 rad/s cw%D See Answer

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