A car comes to a complete stop from an initial speed of 50 mi/hr in a distance of 100 ft. With the same constant acceleration, what would be the stopping distance s from an initial speed of 70 mi/hr?

For a certain interval of motion the pin A is forced to move in the fixed parabolic slot by the horizontal slotted arm which is elevated in the y-direction at the constant rate of 3 in. /sec. All...

Writing in Environmental Science & Technology (May 1986), Joseph Fiksel researched the problem of compensating victims of chronic diseases (such as cancer and birth defects) who are exposed to...

To ascertain the effectiveness of their advertising campaigns, firms frequently conduct telephone interviews with consumers using random-digit dialing. With this method, a random number generator...

Five construction companies each offer bids on three distinct Department of Transportation (DOT) contracts. A particular company will be awarded at most one DOT contract. a. How many different ways...

If the launch speed of the golf ball of the previous problem remains v 0 = 115 mi/hr, what launch angle will put the first impact point of the ball closest to the pin? How far from the pin is this...

In high-volume machining centers, cutting tools are replaced at regular, heuristically chosen intervals. These intervals are generally untimely, i.e., either the tool is replaced too early or too...

An overhead view of part of a pinball game is shown. If the plunger imparts a speed of 3 m/s to the ball which travels in the smooth horizontal slot, determine the acceleration a of the ball (a) just...

The 230,000-lb space-shuttle orbiter touches down at about 220 mi/hr. At 200 mi/hr its drag parachute deploys. At 35 mi/hr, the chute is jettisoned from the orbiter. If the deceleration in feet per...

The small block P starts from rest at time t = 0 at point A and moves up the incline with constant acceleration a. Determine r as a function of time. of A -R- Problem 2/157

Compute the impact speed of a body released from rest at an altitude h = 650 miles above the surface of Mars. (a) First assume a constant gravitational acceleration g m0 = 12.3 ft/sec 2 (equal to...

The center of mass G of a high jumper follows the trajectory shown. Determine the component v 0 , measured in the vertical plane of the figure, of his takeoff velocity and angle if the apex of the...

An accelerometer C is mounted to the side of the roller-coaster car and records a total acceleration of 3.5g as the empty car passes the bottommost position of the track as shown. If the speed of the...

The car A has a forward speed of 18 km/h and is accelerating at 3 m/s 2 . Determine the velocity and acceleration of the car relative to observer B, who rides in a nonrotating chair on the Ferris...

In the design of a timing mechanism, the motion of pin P in the fixed circular slot is controlled by the guide A, which is being elevated by its lead screw. Guide A starts from rest with pin P at the...

The 50-kg crate is projected along the floor with an initial speed of 8 m /s at x = 0. The coefficient of kinetic friction is 0.40. Calculate the time required for the crate to come to rest and the...

The disk A rotates about the vertical z-axis with a constant speed = = /3 rad/s. Simultaneously, the hinged arm OB is elevated at the constant rate = 2/3 rad /s. At time t = 0, both = 0 and = 0....

For the cars of Prob. 2 /195, determine the instantaneous values of r and if car A is slowing down at a rate of 1.25 m/s 2 and car B is speeding up at a rate of 2.5 m/s 2 . Refer to the printed...

The coordinates of a particle which moves with curvilinear motion are given by x = 10.25t + 1.75t 2 0.45t 3 and y = 6.32 + 14.65t 2.48t 2 , where x and y are in millimeters and the time t is in...

The 10-Mg truck hauls the 20-Mg trailer. If the unit starts from rest on a level road with a tractive force of 20 kN between the driving wheels of the truck and the road, compute the tension T in the...

Determine the weight of cylinder B which would cause block A to accelerate (a) 5 ft /sec2 down the incline and (b) 5 ft /sec2 up the incline. Neglect all friction. 100 lb 25 B WB

The robot arm is elevating and extending simultaneously. At a given instant, = 30, = 40 deg /s, = 120 deg /s 2 , l = 0.5 m, l = 0.4 m /s, and l = 0.3 m /s 2 . Compute the radial and transverse...

In the design of a conveyor-belt system, small metal blocks are discharged with a velocity of 0.4 m/s onto a ramp by the upper conveyor belt shown. If the coefficient of kinetic friction between the...

The two particles of equal mass are joined by a rod of negligible mass. If they are released from rest in the position shown and slide on the smooth guide in the vertical plane, calculate their...

In a railroad classification yard, a 68-Mg freight car moving at 0.5 m/s at A encounters a retarder section of track at B which exerts a retarding force of 32 kN on the car in the direction opposite...

The small bodies A and B each of mass m are connected and supported by the pivoted links of negligible mass. If A is released from rest in the position shown, calculate its velocity v A as it crosses...

The assembly starts from rest and reaches an angular speed of 150 rev/min under the action of a 20-N force T applied to the string for t seconds. Determine t. Neglect friction and all masses except...

A particle with a mass of 4 kg has a position vector in meters given by r = 3t 2 i 2tj 3k, where t is the time in seconds. For t = 5 s determine the angular momentum of the particle and the moment...

The assembly of two 5-kg spheres is rotating freely about the vertical axis at 40 rev/min with = 90. If the force F which maintains the given position is increased to raise the base collar and...

A quality control engineer samples five from a large lot of manufactured firing pins and checks for defects. Unknown to the inspector, three of the five sampled firing pins are defective. The...

Water issues from a nozzle with an initial velocity v and supports a thin plate of mass m at a height h above the nozzle exit. A hole in the center of the plate allows some of the water to travel...

Refer to the Computers & Security (July, 2013) study of Microsoft program security issues, Exercise 2.4. Recall that Microsoft periodically issues a Security Bulletin that reports the software --...

A system is represented by the state and output equations that follow. Without solving the state equation, find the poles of the system. X = -4 3. x+ -2 u(t) y = [5 1]x

Refer to the Journal of Systems Sciences & Systems Engineering (March, 2013) study of the reliability of a manufacturing system that involves multiple production lines, Exercise 4.6. Consider, again,...

For each of the following transfer functions with zeros, find the component parts of the unit step response: (1) the derivative of the response without a zero and (2) the response without a zero,...

Find the range of gain, K, to ensure stability in the unity feedback system of Figure P6.3 with K(s+ 2) (s2 + 1)(s +4)(s - 1) G(s) = R(s) + E(s) C(s) G(s) FIGURE P6.3

Figure P7.2 shows the ramp input r(t) and the output c(t) of a system. Assuming the outputs steady state can be approximated by a ramp, find a. The steady-state error; b. The steady-state error if...

Find the value of K in the system of Figure P6.10 that will place the closed-loop poles as shown. R(s) K C(s) s+3 ja FIGURE P6.10 Closed-loop system with pole plot

The Scotch-yoke mechanism converts rotational motion of the disk to oscillatory translation of the shaft. For given values of , , , r, and d, determine the velocity and acceleration of point P of the...

At time t = 0, the arm is rotating about the fixed z-axis with an angular velocity = 200 rad/s in the direction shown. At that time, a constant angular deceleration begins and the arm comes to a...

The flywheel has a diameter of 600 mm and rotates with increasing speed about its z-axis shaft. When point P on the rim crosses the y-axis with = 90, it has an acceleration given by a = 1.8i 4.8j m...

Derive an expression for the upward velocity v of the car hoist in terms of . The piston rod of the hydraulic cylinder is extending at the rate s. b. 26 b. L

For the instant represented, corner A of the rectangular plate has a velocity v A = 2.8 m/s and the plate has a clockwise angular velocity w = 12 rad/s. Determine the magnitude of the corresponding...

The spoked wheel of radius r is made to roll up the incline by the cord wrapped securely around a shallow groove on its outer rim. For a given cord speed v at point P, determine the velocities of...

The rear driving wheel of a car has a diameter of 26 in. and has an angular speed N of 200 rev/min on an icy road. If the instantaneous center of zero velocity is 4 in. above the point of contact of...

The flexible band F is attached at E to the rotating sector and leads over the guide pulley G. Determine the angular velocities of links AB and BD for the position shown if the band has a speed of 2...

At the instant under consideration, the rod of the hydraulic cylinder is extending at the rate v A = 2 m/s. Determine the corresponding angular velocity w OB of link OB. A VA = 2 m/s 60 180 mm 120 mm...

Finding F values. Find F .05 for an F distribution with: a. Numerator df = 7, denominator df = 25 b. Numerator df = 10, denominator df = 8 c. Numerator df = 30, denominator df = 60 d. Numerator df...

Refer to the Environmental Science & Technology (Jan. 2005) study of methyl tert-butyl ether (MTBE) contamination in New Hampshire wells, Exercise 2.12 (p. 29). Data collected for a sample of 223...

The 30-kg spool of outer radius r o = 450 mm has a centroidal radius of gyration k = 275 mm and a central shaft of radius r i = 200 mm. The spool is at rest on the incline when a tension T = 300 N is...

A uniform slender rod rests on a car seat as shown. Determine the deceleration a for which the rod will begin to tip forward. Assume that friction at B is sufficient to prevent slipping. Vertical ...

The gear train shown operates in a horizontal plane and is used to transmit motion to the rack D of mass m D . If an input torque M is applied to gear A, what will be the resulting acceleration a of...

The large power-cable reel is rolled up the incline by the vehicle as shown. The vehicle starts from rest with x = 0 for the reel and accelerates at the constant rate of 2 ft/sec 2 . For the instant...

Car A is traveling along the straightaway with constant speed v. Car B is moving along the circular on-ramp with constant speed v/2. Determine the velocity and acceleration of car A as seen by an...

Car B is rounding the curve with a constant speed of 54 km/h, and car A is approaching car B in the intersection with a constant speed of 72 km/ h. Determine the velocity which car A appears to have...

The cars of the roller coaster have a speed v = 25 ft/sec at the instant under consideration. As rider B passes the topmost point, she observes a stationary friend A. What velocity of A does she...

The slotted wheel rolls to the right without slipping, with a constant speed v = 2 ft/sec of its center O. Simultaneously, motion of the sliding block A is controlled by a mechanism not shown so that...

The sector rotates with the indicated angular quantities about a fixed axis through point B. Simultaneously, the particle A moves in the curved slot with constant speed u relative to the sector....

The elements of a power hacksaw are shown in the figure. The saw blade is mounted in a frame which slides along the horizontal guide. If the motor turns the flywheel at a constant counterclockwise...

Determine the angular momentum of the earth about the center of the sun. Assume a homogeneous earth and a circular earth orbit of radius 149.6(10 6 ) km. Consult Table D/2 of Appendix D for other...

Many hand tools used by mechanics involve attachments that fit into sockets (e.g., a socket wrench). In the manufacturing of the tools, specifications require that the inside diameter of the socket...

Refer to Exercise 16.15. Find a 99% tolerance interval for at least 95% of the distance measurements assuming each of the following: a. A normal distribution b. A non normal distribution Data from...

Refer to the x- and R-charts, Exercises 16.15 and 16.24. Conduct a runs analysis to detect any trend in the process. Data from Exercise 16.15 Refer to the manufacture of a rheostat knob, Exercise...

In a designed experiment, a. What two factors affect the quantity of information? b. How does blocking increase the quantity of information?

Different signal-flow graphs can represent the same system. Which form facilitates the calculation of the variable gains during controller design?

Refer to Exercise 16.16 and the hourly data collected by BPI consulting. a. Construct an R-chart for the data. Is the process variation in control? b. Round each measurement in the data set to a...

A soft-drink bottling company is interested in monitoring the amount of cola injected into 16-ounce bottles by a particular filling head. The process is entirely automated and operates 24 hours a...

A 200-kg machine rests on four floor mounts, each of which has an effective spring constant k = 250 kN/m and an effective viscous damping coefficient c = 1000 N s/m. The floor is known to vibrate...

The uniform bar of mass M and length l has a small roller of mass m with negligible bearing friction at each end. Determine the period ???? of the system for small oscillations on the curved track....

Refer to the manufacture of a rheostat knob, Exercise 16.7. To monitor the process mean, five knobs from each hours production were randomly sampled and the distance from the back of the knob to the...

Refer to Exercise 14.77 and the study to determine the effects of acid rain on the acidity of soils in a natural ecosystem. Recall that experimental plots were irrigated with acid rain at two pH...

Refer to the Journal of Food Engineering (September, 2013) study of the cooling performances fruit container designs, Exercise 14.23. Recall that three container types were investigated Standard,...

Refer to the Applied Animal Behavior Science (June 2010) study of stress in cows prior to slaughter, Exercise 14.22. In the experiment, recall that the heart rate (beats per minute) of a cow was...

Refer to the IEICE Transactions on Information & Systems (Jan. 2005) comparison of two methods of testing electronic circuits, Exercise 8.50. Recall that each of 11 circuits was tested using the...

Digital versatile disc (DVD) players incorporate several control systems for their operations. The control tasks include (1) keeping the laser beam focused on the disc surface, (2) fast track...

The plate has a mass of 3 kg and is welded to the fixed vertical shaft, which rotates at the constant speed of 20 rad/s. Compute the moment M applied to the shaft by the plate due to dynamic...

The crane has a boom of length OP = 24 m and is revolving about the vertical axis at the constant rate of 2 rev/min in the direction shown. Simultaneously, the boom is being lowered at the constant...

Use LabVIEW with the Control Design and Simulation Module and MathScript RT Module to do the following: Modify the CDEx Nyquist Analysis.vi to obtain the range of K for stability using the Nyquist...

Is the navigational behavior of cockroaches scavenging for food random or linked to a chemical trail? In an attempt to answer this question, an entomologist designed an experiment to test a...

Check the assumptions for the randomized block ANOVA of Exercise 14.25. Data from Exercise 14.25 Refer to the Journal of Bacteriology (July 2002) study of the sensitivity of bacteria genes to light,...

Refer to the Landscape Ecology Journal (Jan. 2013) study of mowing effects on vegetation in highway rights-of-way, Exercise 14.35. Recall that a 3 3 factorial design was employed to estimate the...

The 5-kg bar is released from rest while in the position shown and its end rollers travel in the vertical-plane slot shown. If the speed of roller A is 3.25 m/s as it passes point C, determine the...

An analyst tested the null hypothesis 20 against the alternative hypothesis that < 20. The analyst reported a p-value of .06. What is the smallest value of for which the null hypothesis would be...

Computer mediated communication (CMC) is a form of interaction that heavily involves technology (e.g., instant messaging, e-mail). Refer to the Journal of Computer-Mediated Communication (Apr. 2004)...

Refer to the International Journal of Foresting Engineering (Vol. 19, 2008) study of neck muscle activity patterns among forestry vehicle operators, Exercise 12.23. Recall that the researchers...

Refer to the International Journal of Foresting Engineering (Vol. 19, 2008) study of neck muscle activity patterns among forestry vehicle operators, Exercise 12.23. Recall that the researchers...

Find the total steady-state error due to a unit step input and a unit step disturbance in the system of Figure P7.14. D(s) R(s) + 1 100 C(s) s+5 s+2 FIGURE P7.14

Refer to the Journal of the Institute of Engineering (Vol. 8, 2011) study of methane gas (milligrams per liter) emitted from wastewater treatment sludge, Exercises 12.42 and 12.51. Recall that two...

Refer to the Journal of the Institute of Engineering (Vol. 8, 2011) study of methane gas (milligrams per liter) emitted from wastewater treatment sludge, Exercise 12.42. Recall that two different...

Refer to the Journal of Transportation Engineering (June 2013) study of overcrowding at a train station, Exercise 12.14. Using data collected for a sample of 20 train stops (see below), you analyzed...

In the oil industry, water that mixes with crude oil during production and transportation must be removed. Chemists have found that the oil can be extracted from the water/oil mix electrically....

Refer to the Journal of Engineering for Gas Turbines and Power (Jan. 2005) study of a high-pressure inlet fogging method for a gas turbine engine, Exercise 8.29 (p. 392). Recall that the heat rate...

Refer to Exercise 14.8. Use Bonferronis method to compare the mean heat rates of the three gas turbine engines. Use = .06. Data from Exercise 14.8 Refer to the Journal of Engineering for Gas...

Refer to the Environmental Science & Technology (Jan. 2005) study of the reliability of a commercial kit to test for arsenic in groundwater, Exercise 7.59. Recall that a field kit was used to test a...

Which of the following is the formula for the gage pressure within a very small spherical droplet of water: (a) p = /d, (b) p = 4/d, (c) p = 8/d?

To improve the quality of the output of any production process, it is necessary first to understand the capabilities of the process (Deming, Out of the Crisis, 1982). In a particular manufacturing...

Ecologists classify the cause of forest fragmentation as either anthropogenic (i.e., due to human development activities such as road construction or logging) or natural in origin (e.g., due to...

According to the Highway Loss Data Institute (HLDI), hybrid [automobiles] have a safety edge over their conventional twins when it comes to shielding their occupants from injuries in crashes. (HLDI...

Refer to the Human Factors (Dec. 1988) study of orientation clues, Exercise 9.6. Conduct a test to compare the proportions of subjects that fall in the three disk-orientation categories. Assume you...

Refer to the Human Factors (Dec. 1988) study of color brightness as a body orientation clue, Exercise 7.65. Ninety college students, reclining on their backs in the dark, were disoriented when...