#### Kinematics of Machines

By observing the functioning of this governor, do you think that this system will have one or more equi- librium points? If yes, compute the equilibrium point (s).

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 the surface of the ramp, and the ramp itself rises at 25.0° above the horizontal. (a) Draw a free-body diagram for the car. (b) Find the tension in the cable. (c) How hard does the surface of the ramp push on the car?

Calculate mobility of the linkage Copyright c The McGraw-Hill Companies, Inc. Permission required for reproduction or display L =J1 =_______ ,J2 =______,M=_______.

2-21C When is the energy crossing the boundaries of a closed system heat and when is it work?

3. Given the Free Body Diagrams and assumptions below, calculate the joint contact force in the left shoulder. Assume: Can be solved in 2-D, Climber is static and rigid. The magnitude of the force acting on the right hand is 773 N. The deltoid is the only active muscle crossing the left shoulder joint, acts 10 degrees from the humerus and inserts 10 cm from the shoulder. The left arm is 5% of the body mass and of negligible thickness.

3. Gear power. If torque is in in-lbf and speed is in rpm, then horsepower is H = Tn/63025. What is the output power of the gear train? What assumptions are required to get that result?

An offset crank-slider mechanism is shown in the figure. Crank length O2A = 63 mm, piston-rod length AB-130 mm, Distance between center point of crank and center line of piston is offset =52 mm. 1) Determine the displacement of piston d as a function of angular displacement of crank 02. 2) Calculate the value of displacement d when 02=55°

Gear wear stress. Let both gears be made of steel (E = 30,000,000 psi, v= 0.3). ) What is Cp? What is ri, in inches? What is r2? O What is the compressive stress on the gear set? (Answer should be a negative number.)

2. The inversion of a slider-crank mechanism shown below is driven by link 2. (A: 12 points) Estimate the angular accelerations of links 3 and 4. (B: 8 points) Estimate the linear acceleration vectors for point C and point P, both located on link 3. (C: 5 points) Estimate the linear acceleration vector for point Q on link 2.Report both magnitude and direction for all of the above quantities. R_{P A}=R_{C P}=R_{B C}=2 \text { in } \begin{array}{l} \omega_{2}=1 \mathrm{rad} / \mathrm{s} \mathrm{ccw} \\ \alpha_{2}=1 \mathrm{rad} / \mathrm{s}^{2} \mathrm{ccw} \end{array}

Q1.1 For analyzing the response y of this system with respect to any variation in w, derive the differential equation governing the evolution of θ. Discuss briefly how you are using the listed or any other assumptions (if at all) to derive the equations.