Kinematics of Machines

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• 2-40 Water is being heated in a closed pan on top of a range while being stirred by a paddle wheel. During the process, 30 kJ of heat is transferred to the water, and 5 kj of heat is lost to the surrounding air. The paddle-wheel work amounts to 500 N:m. Determine the final energy of the system if its initial energy is 12.5 kJ.


Question 3: In the figure, a car is driven at constant speed over a circular hill and then into a circular valley with the same radius. At the top of the hill, the normal force on the driver from the car seat is 0. The driver's mass is 70.0 kg. What is the magnitude of the normal force on the driver from the seat when the car passes through the bottom of the valley?


5.63 A 3.00-kg box that is several hundred meters above the surface of the earth is suspended from the end of a short vertical rope of negligible mass. A time-dependent upward force is applied to the upper end of the rope, and this results in a tension in the rope of T(t) = (36.0 N/s)t. The box is at rest at t = 0. The only forces on the box are the tension in the rope and gravity. (a) What is the velocity of the box at (i) t = 1.00 s and (ii) ? = 3.00 s? (b) What is the maximum distance that the box descends below its initial position? (c) At what value of i does the box return to its initial position?


The figure shows four-bar linkage used to drive a loom machine. The crank is the driver and the rocker is the follower. The dimensions of the links are as shown in the figure. Determine the mechanical advantage of the linkage when crank's angle 02=130°. MA = ________.


2-19C In what forms can energy cross the boundaries of a closed system?


2-20C What is an adiabatic process? What is an adiabatic system?


Question 4: A banked circular highway curve is designed for traffic moving at 60 km/h. The radius of the curve is 200 m. Traffic is moving along the highway at 40 km/h on a rainy day. What is the minimum coefficient of friction between tires and road that will allow cars to take the turn without sliding off the road? (Assume the cars do not have negative lift.)


2. Gear dynamics. The gear train above is driven on the input shaft with a 0.5 hp electric motor.All of the gears have a diametral pitch of 8 teeth per inch. What are the diameters of Gears 1, 2, 3, and 4? What is the pitch-line velocity of Gear 1, in ft/min? Is the pitch-line velocity of Gear 2 the same as Gear 1? What is the pitch-line velocity of Gear 3 (and, therefore, Gear 4), in ft/min? What is the transmitted force between Gears 1 and 2, in lbf? What is the torque of Gear 1, in in-lbf? What is the torque of Gear 2? The torque of Gear 2 and 3 are the same. What is the torque of Gear 4? What is the ratio of output torque (Gear 4) to input torque (Gear 1)? Is it a coincidence that it is the same as the answer in 1 c)?


A7.4. VELOCITY ANALYSIS. For the single-degree-of-freedom mechanism shown below, the angular velocity on link 2 is w, = 50 rad/s ccw. (a) Locate and mark all of the instant centers. (b) Calculate the direction and magnitude of wz and w, (c) Calculate the direction and magnitude of the velocity of link 5. \mathrm{R}_{\mathrm{BO} 3}=1,000 \mathrm{~mm}


The figure shows a shearing mechanism. Answer the following questions given below.


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