A Formula-1 car encounters a hump which has a circular shape with smooth transitions at both ends. (a) What speed vB will cause the car to lose contact with the road at the topmost point B? (b) For a...

The small spheres are free to move on the inner surface of the rotating spherical chambers shown in section with radius R = 200 mm. If the spheres reach a steady-state angular position = 45,...

A child twirls a small 50-g ball attached to the end of a 1-m string so that the ball traces a circle in a vertical plane as shown. What is the minimum speed v which the ball must have when in...

A small object A is held against the vertical side of the rotating cylindrical container of radius r by centrifugal action. If the coefficient of static friction between the object and the container...

The flatbed truck carries a large section of circular pipe secured only by the two fixed blocks A and B of height h. The truck is in a left turn of radius . Determine the maximum speed for which the...

A 180-lb snowboarder has speed v = 15 ft/sec when in the position shown on the halfpipe. Determine the normal force on his snowboard and the magnitude of his total acceleration at the instant...

Calculate the necessary rotational speed N for the aerial ride in an amusement park in order that the arms of the gondolas will assume an angle = 60 with the vertical. Neglect the mass of the arms...

Repeat the previous problem, only now the slotted arm is rotating with angular velocity = 3 rad /s, and this rate is increasing at 5 rad /s 2 .

The configuration of Prob. 3/70 is now modified as shown in the figure. Use all the data of Prob. 3/70 and determine the forces applied to the slider B by both arm OA and the sides of the slot....

Determine the altitude h (in kilometers) above the surface of the earth at which a satellite in a circular orbit has the same period, 23.9344 h, as the earths absolute rotation. If such an orbit lies...

The rotating drum of a clothes dryer is shown in the figure. Determine the angular velocity of the drum which results in loss of contact between the clothes and the drum at = 50. Assume that the...

The spacecraft P is in the elliptical orbit shown. At the instant represented, its speed is v = 13,244 ft /sec. Determine the corresponding values of r, , r, and . Use g = 32.23 ft /sec 2 as the...

At the instant under consideration, the cable attached to the cart of mass m 1 is tangent to the circular path of the cart. If the upward speed of the cylinder of mass m 2 is v 2 = 1.2 m/s, determine...

A small coin is placed on the horizontal surface of the rotating disk. If the disk starts from rest and is given a constant angular acceleration = , determine an expression for the number of...

The 2-kg collar is at rest in position A when the constant force P is applied as shown. Determine the speed of the collar as it passes position B if (a) P = 25 N (b) P = 40 N. The curved rod lies in...

The 6-kg cylinder is released from rest in the position shown and falls on the spring, which has been initially precompressed 50 mm by the light strap and restraining wires. If the stiffness of the...

Calculate the maximum velocity of slider B if the system is released from rest with x = y. Motion is in the vertical plane. Assume that friction is negligible. The sliders have equal masses, and the...

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. A 0.6 m B 45 0.15 m

The 15 200-kg lunar lander is descending onto the moons surface with a velocity of 2 m/s when its retro-engine is fired. If the engine produces a thrust T for 4 s which varies with time as shown and...

The 6-kg sphere and 4-kg block (shown in section) are secured to the arm of negligible mass which rotates in the vertical plane about a horizontal axis at O. The 2-kg plug is released from rest at A...

The 0.4-lb ball and its supporting cord are revolving about the vertical axis on the fixed smooth conical surface with an angular velocity of 4 rad /sec. The ball is held in the position b = 14 in....

The figure shows a centrifugal clutch consisting in part of a rotating spider A which carries four plungers B. As the spider is made to rotate about its center with a speed , the plungers move...

The small car, which has a mass of 20 kg, rolls freely on the horizontal track and carries the 5-kg sphere mounted on the light rotating rod with r = 0.4 m. A geared motor drive maintains a constant...

The carriage of mass 2m is free to roll along the horizontal rails and carries the two spheres, each of mass m, mounted on rods of length l and negligible mass. The shaft to which the rods are...

The 300-kg and 400-kg mine cars are rolling in opposite directions along the horizontal track with the respective speeds of 0.6 m/s and 0.3 m/s. Upon impact the cars become coupled together. Just...

A jet-engine noise suppressor consists of a movable duct which is secured directly behind the jet exhaust by cable A and deflects the blast directly upward. During a ground test, the engine sucks in...

A 2-oz bullet is fired horizontally with a velocity v = 1000 ft/sec into the slender bar of a 3-lb pendulum initially at rest. If the bullet embeds itself in the bar, compute the resulting angular...

Exercise 4.2 gives the probability distribution for the number Y of homes with high dust mite levels. a. Find E(Y). Give a meaningful interpretation of the result. b. Find s. c. Find the exact...

Reduce the system shown in Figure P5.4 to a single transfer function, T(s) = C(s)/R(s). G3 R(s) C(s) G1 G2 G4 FIGURE P5.4

Use MATLABs Simulink to obtain the step response of a system, under the following conditions: a. The system is linear and driven by an amplifier whose gain is 10. b. An amplifier whose gain is 10...

Given the system below, draw a signal-flow graph and represent the system in state space in the following forms: a. Phase-variable form b. Cascade form 200 G(s) (s + 10)(s + 20)(s+ 30)

For the system shown in Figure P5.15, find K and to yield a settling time of 0.12 second and a 20% overshoot. R(s) E(s) K C(s) s(s + a) FIGURE P5.15

Figure P5.53 shows the block diagram of a possible cascade control scheme for an HEV driven by a dc motor (Preitl, 2007). Let the speed controller G SC (s) = 100 + 40/s, the torque controller and...

Given the HIV system of Problem 84 in Chapter 4 and repeated here for convenience (Craig, 2004): Express the system in the following forms: a. Phase-variable form b. Controller canonical form c....

Effective maintenance of equipment depends on the ability to accurately forecast the demand for spare parts. The Journal of Quality in Maintenance Engineering (Vol. 18, 2012) developed a statistical...

The Scotch-yoke mechanism of Prob. 5/34 is modified as shown in the figure. For given values of , , r, , d, and , determine the velocity and acceleration of point P of the shaft. at P d- B

Let X and Y be two continuous random variables with joint probability density a. Find the value of c. b. Find f 1 (x). c. Find f 2 (y). d. Find f 1 (x y). e. Find f 2 (x y). f. Find P (X 1 and Y ...

The space shuttle, together with its central fuel tank and two booster rockets, has a total mass of 2.04(10 6 ) kg at liftoff. Each of the two booster rockets produces a thrust of 11.80(10 6 ) N, and...

Motion of the wheel as it rolls up the fixed rack on its geared hub is controlled through the peripheral cable by the driving wheel D, which turns counterclockwise at the constant rate 0 = 4 rad/s...

The Geneva wheel is a mechanism for producing intermittent rotation. Pin P in the integral unit of wheel A and locking plate B engages the radial slots in wheel C, thus turning wheel C one-fourth of...

The shaft of the wheel unit rolls without slipping on the fixed horizontal surface, and point O has a velocity of 3 ft /sec to the right. By the method of this article, determine the velocities of...

The 64.4-lb solid circular disk is initially at rest on the horizontal surface when a 3-lb force P, constant in magnitude and direction, is applied to the cord wrapped securely around its periphery....

The uniform bar of mass m is supported by the smooth pin at O and is connected to the cylinder of mass m 1 by the light cable which passes over the light pulley at C. If the system is released from...

The circular disk of radius r rotates about a fixed axis through point O with the angular properties indicated in the figure. Determine the instantaneous velocity and acceleration of point A. Take...

When a 3-kg collar is placed upon the pan which is attached to the spring of unknown constant, the additional static deflection of the pan is observed to be 42 mm. Determine the spring constant k in...

The 4-oz slider oscillates in the fixed slot under the action of the three springs, each of stiffness k = 0.5 lb/in. If the initial conditions at time t = 0 are x0 = 0.1 in. and x0 = 0.5 in./sec,...

The cable drum has a mass of 800 kg with radius of gyration of 480 mm about its center O and is mounted in bearings on the 1200-kg carriage. The carriage is initially moving to the left with a speed...

The system shown is released from rest from an initial position x 0 . Determine the overshoot displacement x 1 . Assume translational motion in the x-direction. k = 108 N/m c 18 N.s/m m = 3 kg t X1

Find analytical expressions for the magnitude and phase response for each G(s) below. a. b. c. 1 G(s) = s(s +2)(s+ 4)

Briefly describe the design procedure for a controller.

Consider the unity feedback system shown in Figure P9.1 with a. Design a compensator that will yield K p = 20 without appreciably changing the dominant pole location that yields a 10% overshoot for...

Determine the value of the viscous damping coefficient c for which the system is critically damped. The cylinder mass is m = 2 kg and the spring constant is k = 150 N/m. Neglect the mass and friction...

Design a PI controller to drive the step response error to zero for the unity feedback system shown in Figure P9.1, where The system operates with a damping ratio of 0.6. Compare the specifications...

The end rollers of the bent bar ADB are confined to the slots shown. If v B = 0.3 m/s, determine the velocity of roller A and the angular velocity of the bar. 90 mm 30 B D 90 mm UB B = 15

The sector and attached wheels are released from rest in the position shown in the vertical plane. Each wheel is a solid circular disk weighing 12 lb and rolls on the fixed circular path without...

The instrument shown has a mass of 43 kg and is spring-mounted to the horizontal base. If the amplitude of vertical vibration of the base is 0.10 mm, calculate the range of frequencies n of the base...

Refer to the Journal for Engineering for Industry (May 1993) study of deep hole drilling under drill chip congestion, Exercise 8.32. Test to determine whether the true standard deviation of drill...

Refer to the Journal of Marketing Research (Dec., 2011) study of shopping cart design, Exercise 8.41. Recall that design engineers want to know whether the mean choice of vice-over virtue score is...

A company produces a fast drying rubber cement in 32-ounce aluminum cans. A quality control inspector is interested in testing whether the variance of the amount of rubber cement dispensed into the...

What are the restrictions on the feedforward transfer function G2(s) in the system of Figure P7.6 to obtain zero steady-state error for step inputs if: a. G 1 (s) is a Type 0 transfer function; b. G...

For the unity feedback system of Figure P7.1, where a. Find the system type. b. What error can be expected for an input of 12u(t)? c. What error can be expected for an input of 12tu(t)? K (s? + 6s +...

Calculate the density and specific weight of carbon dioxide at a pressure of 114 kN/m 2 absolute and 90C.

Determine the density of methane gas at a pressure of 200 kN/m 2 absolute and 80C.

A design team is developing a prototype CO 2 cartridge for a manufacturer of rubber raft s. The is cartridge will allow a user to quickly inflate a raft . A typical raft is shown in the sketch....

Th e bulk modulus of elasticity of ethyl alcohol is 1.06 10 9 Pa. For water, it is 2.15 10 9 Pa. Which of these liquids is easier to compress? a. Ethyl alcohol b. Water

A liquid flows between parallel boundaries as shown above. The velocity distribution near the lower wall is given in the following table: a. If the viscosity of the liquid is 10 3 Ns/m 2 , what is...

A 1ft diameter cylindrical tank is filled with water to a depth of 2ft. A cylinder of wood 5 in. in diameter and 6.0 in. long is set afloat on the water. The weight of the wood cylinder is 3.5 lbf....

The plane rectangular gate can pivot about the support at B. For the conditions given, is it stable or unstable? Neglect the weight of the gate. Justify your answer with calculations. Water 8 m Gate...

A tank is fitted with a manometer on the side, as shown. The liquid in the bottom of the tank and in the manometer has a specific gravity (SG) of 3.0. Th e depth of this bottom liquid is 20 cm. A 15...

A field test is used to measure the density of crude oil recovered during a fracking* operation. The crude oil recovered is mixed with brine. The oil and brine mixture are placed in an *Hydraulic...

As shown, an air space above a long tube is pressurized to 50 kPa vacuum. Water (20C) from a reservoir fills the tube to a height h. If the pressure in the air space is changed to 25 kPa vacuum, will...

The gage pressure throughout the horizontal 90 pipe bend is 300 kPa. If the pipe diameter is 1.5 m and the water (at 10C) flow rate is 10 m 3 /s, what x-component of force must be applied to the bend...

Water at 15C flows through a nozzle that contracts from a diameter of 15 cm to 2 cm. Th e exit speed is v 2 = 10 m/s, and atmospheric pressure prevails at the exit of the jet. Calculate the pressure...

The hypothetical liquid in the tube shown in the figure has zero viscosity and a specific weight of 10 kN/m 3 . If p B p A is equal to 8 kPa, one can conclude that the liquid in the tube is being...

Water ( = 62.4 lbm/ft 3 ) flows from the large orifice at the bottom of the tank as shown. Assume that the flow is irrotational. Point B is at zero elevation, and point A is at 1 ft elevation. If V A...

This closed tank, which is 4 ft in diameter, is filled with water ( = 62.4 lbm/ft 3 ) and is spun around its vertical axis at a rate of 10 rad/s. An open piezometer is connected to the tank as shown...

Suppose you are designing an object to fall through seawater with a terminal velocity of exactly 1 m/s. What variables will have the most influence on the terminal velocity? List these variables and...

How much power is required to move a spherical-shaped submarine of diameter 1.5 m through seawater at a speed of 10 knots? Assume the submarine is fully submerged.

For this siphon the elevations at A, B, C, and D are 30 m, 32 m, 27 m, and 26 m, respectively. The head loss between the inlet and point B is three-quarters of the velocity head, and the head loss in...

For this system, point B is 10 m above the bottom of the upper reservoir. The head loss from A to B is 1.1V 2 /2g, and the pipe area is 8 10 4 m 2 . Assume a constant discharge of 8 10 4 m 3 /s....

In this system, d = 15 cm, D = 35 cm, and the head loss from the venturi meter to the end of the pipe is given by h L = 1.5 V 2 /2g, where V is the velocity in the pipe. Neglecting all other head...

Refer to Figure 7.14. Assume that the head loss in the pipes is given by h L = 0.02(L/D)(V 2 /2g), where V is the mean velocity in the pipe, D is the pipe diameter, and L is the pipe length. The...

Water flows from reservoir A to reservoir B in a desert retirement community. The water temperature in the system is 100F, the pipe diameter D is 2 ft, and the pipe length L is 160 ft. If H = 35 ft,...

Water flows in the pipe shown, and the manometer deflects 120 cm. What is f for the pipe if V = 3 m/s? D = 5 cm Elevation = 10 m 4 m Elevation = 11 m V = 3 m/s S= 2.5

Air flows in a 3-cm smooth tube at a rate of 0.015 m 3 /s. If T = 20C and p = 110 kPa absolute, what is the pressure drop per meter of length of tube?

Estimate the rate of flow of water through the venturi meter shown. Air (y = 0.20 lbf/ft') 48 in 30 Diameter = 4 in Diameter = 12 in

Water flows over a rectangular weir that is 3 m wide and 35 cm high. If the head on the weir is 15 cm, what is the discharge in cubic meters per second?

Water at 50F is piped from a reservoir to a channel like that shown. The pipe from the reservoir to the channel is a 4 in. steel pipe 100 ft in total length. There are two 90 bends, r/D = 1, in the...

The state of 1(lb m ) of steam is changed from saturated vapor at 20 (psia) to superheated vapor at 50 (psia) and 1000(F). What are the enthalpy and entropy changes of the steam? What would the...

Assuming the validity of Eq. (6.89), derive Edmisters formula for estimation of the acentric factor: where T n / T c , T n is the normal boiling point, and P c is in (atm). 3 log P. - 1 1-0

Consider a chloroform(1)/tetrahydrofuran(2) mixture with x 1 = 0.90, initially at 76C and 120 kPa. Describe the evolution of phases and phase compositions as the temperature is gradually reduced to...

Consider a chloroform(1)/tetrahydrofuran(2) mixture with x 1 = 0.10, initially at 80C and 120 kPa. Describe the evolution of phases and phase compositions as the temperature is gradually reduced to...

Consider a chloroform(1)/tetrahydrofuran(2) mixture with x 1 = 0.20, initially at 70C and 120 kPa. Describe the evolution of phases and phase compositions as the temperature is gradually increased to...

Sketch a figure similar to Fig. 3.4a for the forward-biased junction of an npn transistor. Describe the resulting carrier motion. Fig. 3.4a + Majority carriers E + B Depletion region VEE (a)

Sketch a figure similar to Fig. 3.4b for the reverse-biased junction of an npn transistor. Describe the resulting carrier motion. Fig. 3.4 Minority carriers B+ Depletion region Vcc (b)

Sketch a figure similar to Fig. 3.5 for the majority- and minority-carrier flow of an NPN transistor. Describe the resulting carrier motion. Fig. 3.5 Majority carriers P + Minority carriers E B....

Calculate the frequency of a Wien bridge oscillator circuit (as in Fig. 14.23) when R = 10 k and C = 2400 pF. Fig. 14.23 R3 +Vcc Output sinusoidal Op-amp signal R2 R4 -VEE f,= 2n VR, C, R2C2 FIG....

For the 2N5457 JFET of Fig. 6.20, what is the power rating at a typical operating temperature of 45C using the 5.0 mW/C derating factor? Fig. 6.20 2NS457 MMBF5457 ABKLITE MANIMIM RATINCS Sel Dr Ss...

Determine V o1 and V o2 for the networks of Fig. 2.159 . +12 Vo Si (a) 4.7 GaAs Vo -10 Vo FIG. 2.159 Problem 9. Ge Si K (b) 1.2 kQ ww + Vo 3.3

A proposed embankment fill requires 8000 m 3 of compacted soil. The void ratio of the compacted fill is specified as 0.7. Four borrow pits are available as described in the following table, which...