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).

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

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

12-73. The water sprinkler, positioned at the base of a hill,releases a stream of water with a velocity of 15 ft/s as shown. Determine the point B(x, y) where the water strikes the ground on the hill. Assume that the hill is defined by the equation y= (0.05x²) ft and neglect the size of the sprinkler.

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}

12-83. Pegs A and B are restricted to move in the elliptical slots due to the motion of the slotted link. If the link moves with a constant speed of 10 m/s, determine the magnitude of the velocity and acceleration of peg A when r = 1 m.

Two solid steel shafts (G= 77.2 GPa) are connected to a coupling disk B and to fixed supports at A and C. For the loading shown, determine (a) the reaction at each support, (b) the maximum shearing stress in shaft AB, (c) the maximum shearing stress in shaft BC.

A7.6. VELOCITY ANALYSIS. For the single-degree-of-freedom mechanism shown below, findthe velocity of the slider, Vs. Report the direction and magnitude. Use instant centers andAVRT. The mechanism is drawn at 1:1 scale. There is sliding contact between link 3 and link5. w2 = 1 rad/s cW az = 0

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.