1. Gear kinematics. An input shaft drives Gear 1 with 20 teeth at 1800 rpm which mates with the 80-tooth Gear 2 which in on the intermediate shaft. Also on the intermediate shaft is Gear 3with 18 teeth. It mates with Gear 4 on the output shaft, where Gear 4 has 90 teeth. How fast does Gear 2 spin, in rpm? Gears 2 and 3 spin at the same speed, so what is the speed of Gear 4? What is the ratio of the input speed to the output speed? Is this compounded train "reverted?"

A7.2. A four-bar linkage is shown below. (A) Use the method of Instant Centers & AVRT to calculate wz and w. Report the directionsof each. (B) Find the magnitude and direction of the absolute velocity of point E on link 3. \mathrm{R}_{\mathrm{AD}}=10 \mathrm{~cm}, \mathrm{R}_{\mathrm{BD}}=15 \mathrm{~cm}, \mathrm{R}_{\mathrm{BC}}=60 \mathrm{~cm} ; \mathrm{R}_{\mathrm{CE}}=65 \mathrm{~cm} ; \mathrm{R}_{\mathrm{EF}}=15 \mathrm{~cm} \omega_{2}=2 \mathrm{rad} / \mathrm{s} \mathrm{cw} (Note: ADB and FEC are right triangles.)

Calculate mobility of the linkage L =__________,J1 =_________,J2 =__________, M =_________

Problem 5. A fireman who is a horizontal distance of R = 50 m away from a building directs a stream of water from a fire hose at an angle of 0 = 30° above the horizontal. The water leaves the hose at a speed of vo =the water rising or falling when it strikes the building? (c) At what time has the speed of the water been reduced to 36 m/s?40 m/s. (a) At what height H does the water strike the building? (b) Is

1. Continuation of #1 from Exam 2. (A: 15 points) Estimate the magnitude and direction of a3 and a4. (B: 10 points) Find the magnitude and direction of the absolute acceleration of point P on link 3. \begin{array}{l} \omega_{2}=1 \mathrm{rad} / \mathrm{s} \mathrm{ccw} \\ \alpha_{2}=1 \mathrm{rad} / \mathrm{s}^{2} \mathrm{ccw} \end{array} All horizontal and vertical edges are the same length, 1 meter.The diagonal edges are at 45°.

3/145 A bead with a mass of 0.25 kg is released from rest at A and slides down and around the fixed smooth wire. Determine the force N between the wire and the bead as it passes point B.

2-25C A gas in a piston-cylinder device is compressed, and as a result its temperature rises. Is this a heat or work interaction?

• 2-39 C On a hot summer day, a student turns his fan on when he leaves his room in the morning. When he returns in the evening, will the room be warmer or cooler than the neighboring rooms? Why? Assume all the doors and windows are kept closed.

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.

Q1.8 Assuming that Tfuel = a1q and q = a₂w, what is the condition on ₁ and ₂ so that the system described here for the regulation is stable. If the fluid is compressible, the dynamics of a system change. To understand the effect of compressibility in a fluid system, look at the following system, where A is the piston area, and β is the fluid compressibility.