Questions and Answers of Fox And McDonald S Introduction To Fluid Mechanics

Determine a set of link lengths for a slider-crank linkage such that the stroke is 16 in and the advance-to-return ratio is 1.25.
Determine the link lengths of a slider-crank linkage to have a stroke of 600 mm and an advance-to-return ratio of 1.20.
A function varies from 0 to 10. Find the Chebyshev spacing for two, three, four, five, and six precision positions.
A vehicle using the differential shown in Fig. 8.28 turns to the right at a speed of 30 mi/h on a curve of 80-ft radius. Use the same tooth numbers as in Problem 8.22. The tire diameter is 15 in. Use
The tooth numbers for the automotive differential shown in Fig. 8.28 are N2 = 17T, N3 = 54T, N4 =11T, and N5 = N6 = 16T. The drive shaft turns at 1 200 rev/min. What is the speed of the right wheel
The marine reduction differential shown in Figure P8.21 has bevel gear 2 driven by engine shaft A. Bevel planets 3 mesh with fixed crown gear 4 and are pivoted on the spider (arm), which is connected
The gear train shown in Figure P8.20 consists of bevel gears, spur gears, and a worm and worm gear.Figure P8.20 The bevel pinion is mounted on a shaft that is driven by a V-belt on pulleys. If pulley
A triple-threaded worm with a lead angle of 20◦and an axial pitch of 0.400 in/tooth drives a worm gear with a velocity reduction of 15 to 1. Determine the following for the worm gear: (a) the
A triple-threaded worm drives a worm gear having 40 teeth. The axial pitch is 1.25 in, and the pitch diameter of the worm is 1.75 in. Calculate the lead and lead angle of the worm. Find the helix
Specify a suitable worm and worm-gear combination for a velocity ratio of 60 and a center distance of 6.50 in. Use an axial pitch of 0.500 in/tooth.
A worm having 4 teeth and a lead of 1.0 in drives a worm gear at a velocity ratio of 7.5. Determine the pitch diameters of the worm and worm gear for a center distance of 1.75 in.
A pair of straight-tooth bevel gears with diametral pitch of 8 teeth/in has 17 teeth and 28 teeth, respectively, and a shaft angle of 105◦. For each gear, calculate the pitch radius, pitch angle,
A pair of straight-tooth bevel gears with diametral pitch of 2 teeth/in have 19 teeth and 28 teeth, respectively. The shaft angle is 90◦. Determine the pitch diameters, pitch angles, addendum,
A pair of straight-tooth bevel gears is to be mounted at a shaft angle of 120◦. The pinion and gear are to have 15 and 33 teeth, respectively. What are the pitch angles?
A pair of straight-tooth bevel gears has a velocity ratio of 1.5 and a shaft angle of 75◦. What are the pitch angles?
A pair of straight-tooth bevel gears is to be manufactured for a shaft angle of 90◦. If the driver is to have 18 teeth, and the velocity ratio is to be 3:1, what are the pitch angles?
In Fig P8.10 gear 2 rotates clockwise and drives gear 3 counterclockwise at a velocity ratio of 2:1. Use a normal diametral pitch of 5 teeth/in, a shaft center distance of about 10 in, and the same
A right-hand helical pinion is to drive a gear at a shaft angle of 90◦. The pinion has 6 teeth and a 75◦helix angle and is to drive the gear at a velocity ratio of 6.5. The normal diametral pitch
A helical pinion is right-handed, has 12 teeth, has a 60◦ helix angle, and is to drive another gear at a velocity ratio of 3.0. The shafts are at a 90◦angle, and the normal diametral pitch of the
In a medium-size truck transmission, a 22-tooth clutch-stem gear meshes continuously with a 41-tooth countershaft gear. The data indicate normal diametral pitch of 7.6 teeth/in, 18 1/2◦ normal
The catalog description of a pair of helical gears is as follows: 14 1/2◦ normal pressure angle, 45◦helix angle, diametral pitch of 8 teeth/in, 1.0-in face width, and normal diametral pitch of
A 16-tooth helical pinion is to run at 1 800 rev/min and drive a helical gear on a parallel shaft at 400 rev/min. The centers of the shafts are to be spaced 11 in apart. Using a helix angle of 23◦
A pair of helical gears is to be cut for parallel shafts whose center distance is to be about 3.5 in to give a velocity ratio of approximately 1.8. The gears are to be cut with a standard 20◦
A parallel-axis helical gearset is made with a 20◦transverse pressure angle and a 35◦ helix angle. The gears have diametral pitch of 10 teeth/in and have 15 and 25 teeth, respectively. If the
A pair of parallel-axis helical gears are cut with a 20◦normal pressure angle and a 30◦ helix angle. They have diametral pitch of 16 teeth/in and have 16 and 40 teeth, respectively. Find the
A pair of parallel-axis helical gears has 14 1/2◦normal pressure angle, diametral pitch of 6 teeth/in, and 45◦ helix angle. The pinion has 15 teeth, and the gear has 24 teeth. Calculate the
In the clock mechanism, a pendulum on shaft A drives an anchor (Fig. 1.12c). The pendulum period is such that 1 tooth of the 30T escapement wheel on shaft B is released every 2 s, causing shaft B to
In Problem 7.57, shaft B rotates at 100 rev/min cw.Find the speed of shaft A and of gears 3 and 4 about their own axes.
If shaft A is the output connected to the arm, and shaft B is the input driving gear 2, determine the speed ratio. Can you identify the Lévai type for this train?
The figure shows a possible arrangement of gears in a lathe headstock. Shaft A is driven by a motor at a speed of 720 rev/min. The three pinions can slide along shaft A to yield the meshes 2 with 5,
The Lévai type-A train of Fig. 7.38 has N2 = 20T and N4 = 32T.(a) If the module is m = 6 mm/tooth, find the number of teeth on gear 5 and the crank arm radius.(b) If gear 2 is fixed and internal
The Lévai type-L train shown in Fig. 7.38 has N2 =16T, N4 = 19T, N5 = 17T, N6 = 24T, and N7 =95T. Internal gear 7 is fixed. Find the speed and direction of rotation of the arm if gear 2 is driven at
Gear 2 is connected to the input shaft, and arm 3 is connected to the output shaft. Determine the speed reduction. What is the sense of rotation of the output shaft? What changes could be made in the
In Fig. P7.50, determine the speed and direction of rotation of shaft C if: (a) shafts A and B both rotate at 360 rev/min ccw; and (b) shaft A rotates at 360 rev/min cw and shaft B rotates at 360
In Fig. P7.50, shaft B is stationary and shaft C is driven at 380 rev/min ccw. Determine the speed and direction of rotation of shaft A.
If shaft C is stationary and gear 2 rotates at 800 rev/min ccw, determine the speed and direction of rotation of shaft B.
If the arm in Fig. P7.48 rotates at 300 rev/min ccw, find the speed and direction of rotation of internal gear 7.
If internal gear 7 rotates at 60 rev/min ccw, determine the speed and direction of rotation of arm 3.Figure P7.48
Consider the gears in a speed-change gearbox used in machine tool applications. By sliding the cluster gears on shafts B and C, nine speed changes can be obtained. The problem of the machine tool
Use the truck transmission of Fig. 7.30 and an input speed of 3 000 rev/min to find the drive shaft speed for each forward gear and for the reverse gear.
For the given pitch diameters of a set of spur gears forming a train, compute the first-order kinematic coefficient of the train. Determine the speeds and directions of rotation of gears 5 and
Find the first-order kinematic coefficient of the gear train. What are the speed and direction of rotation of gear 8?v2 = 1200 rev/min Figure P7.44
A standard 20◦ pressure angle full-depth involute 1-tooth/in diametral pitch 20-tooth pinion drives a 48-tooth gear. The speed of the pinion is 500 rev/min. Using the position of the point of
A pair of involute spur gears with 9 and 36 teeth are to be cut with a 20◦ full-depth cutter with diametral pitch of 3 teeth/in.(a) Determine the amount that the addendum of the gear must be
Using the template cut in Problem 7.40, generate an 11-tooth pinion to mesh with a 44-tooth gear with the long-and-short-addendum system. Determine and record suitable values for gear and pinion
Using the method described for Problems 7.20 to 7.24, cut a 1-tooth/in diametral pitch, 20◦ pressure angle full-depth involute rack tooth from a sheet of clear plastic. Use a nonstandard clearance
A set of gears is cut with a 41/2-in/tooth circular pitch and a 171/2◦ pressure angle.∗ The pinion has 20 full-depth teeth. If the gear has 240 teeth, what maximum addendum may it have to avoid
A pair of mating gears have 24 teeth/in diametral pitch and are generated on the 20◦ full-depth involute system. If the tooth numbers are 15 and 50, what maximum addendums may they have if
The center distance of two 18-tooth, 25◦ pressure angle, full-depth involute spur gears with diametral pitch of 3 teeth/in is increased by 0.062 5 in over the standard distance. At what pressure
The center distance of two 24-tooth, 20◦ pressure angle, full-depth involute spur gears with diametral pitch of 2 teeth/in is increased by 0.125 in over the standard distance. At what pressure
A 22-tooth pinion mates with a 42-tooth gear.The gears have full-depth involute teeth, have a diametral pitch of 16 teeth/in, and are cut with a 171/2◦ pressure angle.∗ Find the contact ratio.
A 25◦ pressure angle 11-tooth pinion is to drive a 23-tooth gear. The gears have a diametral pitch of 8 teeth/in and have involute stub teeth. What is the contact ratio?
Calculate the contact ratio of a 17-tooth pinion that drives a 73-tooth gear. The gears are 96-tooth/in diametral pitch and cut on the 20◦ full-depth involute system.
A set of interchangeable gears with 4-tooth/in diametral pitch is cut on the 20◦ full-depth involute system. The gears have tooth numbers of 24, 32, 48, and 96. For each gear, calculate the radius
The accuracy of cutting gear teeth can be measured by fitting hardened and ground pins in diametrically opposite tooth spaces and measuring the distance over the pins. For a 10-tooth/in diametral
A nonstandard 10-tooth 8-tooth/in diametral pitch involute pinion is to be cut with a 221/2◦ pressure angle. What maximum addendum can be used before the teeth become pointed?
A 25◦ full-depth involute, 12-tooth/in diametral pitch pinion has 18 teeth. Calculate the tooth thickness at the base circle. What are the tooth thickness and pressure angle at the addendum circle?
A tooth is 1.571 in thick at the pitch radius of 16 in and has a pressure angle of 20◦. At what radius does the tooth become pointed?
A tooth is 0.785 in thick at a pitch circle radius of 8 in and has a pressure angle of 25◦. What is the thickness at the base circle?
A 15-tooth pinion has 11/2-tooth/in diametral pitch, 20◦ full-depth involute teeth. Calculate the thickness of the teeth at the base circle. What are the tooth thickness and the pressure angle at
A 10-mm/tooth module gear has 17 teeth, a 20◦pressure angle, an addendum of 1.0 m, and a dedendum of 1.25 m.∗ Find the thickness of the teeth at the base circle and at the addendum circle.What is
Shaper gear cutters have the advantage that they can be used for either external or internal gears and also that only a small amount of runout is necessary at the end of the stroke. The generating
Draw a 2-tooth/in diametral pitch, 26-tooth, 20◦full-depth involute gear in mesh with a rack. (a)Find the lengths of the paths of approach and recess, and the contact ratio. (b) Draw a second rack
Repeat Problem 7.15 using the 25◦ full-depth system.
A gear with a module of 8 mm/tooth and 22 teeth is in mesh with a rack; the pressure angle is 25◦. The addendum and dedendum are 1.0 m and 1.25 m, respectively.∗ Find the lengths of the paths of
A gearset with a module of 5 mm/tooth has involute teeth with 221/2◦ pressure angle, and 19 and 31 teeth, respectively. They have 1.0 m for the addendum and 1.25 m for the dedendum.∗ Tabulate the
A 21/2-teeth/in diametral pitch 17-tooth pinion and a 50-tooth gear are paired. The gears are cut on the 20◦ full-depth involute system. Find the angles of approach and recess of each gear, and the
A 5-tooth/in diametral pitch, 15-tooth pinion is to mate with a 30-tooth internal gear. The gears are 20◦ full-depth involute. Make a drawing of the gears showing several teeth on each gear. Can
A 4-tooth/in diametral pitch, 24-tooth pinion is to drive a 36-tooth gear. The gears are cut on the 20◦full-depth involute system. Find and tabulate the addendum, dedendum, clearance, circular
A gear having a module of 4 mm/tooth and 21 teeth drives another gear at a speed of 240 rev/min. How fast is the 21-tooth gear rotating if the shaft center distance is 156 mm?
Two gears having an angular velocity ratio of 3:1 are mounted on shafts whose centers are 136 mm apart.If the module of the gears is 4 mm/tooth, how many teeth are there on each gear?
A shaft carries a 30-tooth, 3-teeth/in diametral pitch gear that drives another gear at a speed of 480 rev/min. How fast does the 30-tooth gear rotate if the shaft center distance is 9 in?
What is the diameter of a 33-tooth gear if its circular pitch is 0.875 in/tooth?
The pitch diameters of a pair of gears are 60 mm and 100 mm, respectively. If their module is 2.5 mm/tooth, how many teeth are there on each gear?
Find the module and the pitch diameter of a gear whose circular pitch is 40 mm/tooth if the gear has 36 teeth.
The pitch diameters of a pair of mating gears are 3.50 in and 8.25 in, respectively. If the diametral pitch is 16 teeth/in, how many teeth are there on each gear?
Find the diametral pitch and the pitch diameter of a 40-tooth gear whose circular pitch is 3.50 in/tooth.
Find the number of teeth and the circular pitch of a gear whose pitch diameter is 200 mm if the module is 8 mm/tooth.
Determine the module of a pair of gears having 18 and 40 teeth, respectively, whose center distance is 58 mm.
Find the number of teeth and the circular pitch of a 6-in pitch-diameter gear whose diametral pitch is 9 teeth/in.
Find the diametral pitch of a pair of gears having 32 and 84 teeth, respectively, whose center distance is 3.625 in.
Repeat Prob. 6.45 if friction exists with μ = 0.04 and the cycloidal return takes place in 180◦.
A plate cam drives a reciprocating roller follower through distance L = 1.25 in with parabolic motion in 120◦ of cam rotation, dwells for 30◦, and returns with cycloidal motion in 120◦,
Repeat Prob. 6.43 with a speed of 900 rev/min and F14 = 0.110+10.75Y kN, where Y is in meters and the coefficient of sliding friction is μ = 0.025.
A cam-and-follower system similar to the one of Fig. 6.41 uses a plate cam driven at a speed of 600 rev/min and employs simple harmonic rise and parabolic return motions. The events are: rise in
Lever OAB is driven by a cam cut to give the roller a rise of 1 in with parabolic motion and parabolic return with no dwells. The lever and roller are to be assumed weightless and there is no
A cam-and-follower mechanism is shown in abstract form in Fig. P6.36b. The cam is cut so that it causes the mass to move to the right a distance of 25 mm with harmonic motion in 150◦ of cam
Figure P6.36b shows the model of a cam-and-follower system. The motion machined into the cam is to move the mass to the right through a distance of 2 in with parabolic motion in 150◦ of cam
The cam-and-follower system in Fig. P6.36b has k = 1 kN/m, m = 0.90 kg, Y = 15 − 15 cosωt mm, and ω = 60 rad/s. The retaining spring is assembled with a preload of 2.5 N. (a) Compute the maximum
In Fig. P6.36a, the slider has a mass of 2.5 kg. The cam is a simple eccentric and causes the slider to rise 25 mm with no friction. At what cam speed in revolutions per minute will the slider first
In Fig. P6.36a, the mass, m, is driven up and down by the eccentric cam and it has a weight of 10 lb.The cam eccentricity is 1 in. Assume no friction.(a) Derive the equation for the contact force.
The mass, m, is constrained to move only in the vertical direction. The circular cam has an eccentricity of 2 in, a speed of 20 rad/s, and a weight of 8 lb. Neglecting friction, find the angleΘ =
The cam rotation angle, the rise and fall, and the output motion of a disk cam with a reciprocating roller follower are as given in Table P6.35. The diameter of the base circle of the cam is 2.80 in,
The cam angle, the rise and fall, and the output motion of a disk cam with a reciprocating roller follower are given in Table P6.34. The diameter of the base circle of the cam is 75 mm, the diameter
The cam angle, the rise and fall, and the output motion of a disk cam with a reciprocating roller follower are as given in Table P6.33. The diameter of the base circle of the cam is 2.80 in, the
The cam angle, the rise and fall, and the output motion of a disk cam with a reciprocating roller follower are as given in Table P6.32. The diameter of the base circle of the cam is 180 mm, the
The cam angle, the rise and fall, and the output motion of a disk cam with a reciprocating roller follower are as given in Table P6.31. The diameter of the base circle of the cam is 9.60 in, the
The cam rotation angle, the rise and fall, and the output motion of a disk cam with a reciprocating roller follower are given in Table P6.30. The diameter of the base circle of the cam is 90 mm, the
Continue using the same displacement information and the same design parameters as in Prob. 6.28.Use a spreadsheet to determine and plot the following for a complete rotation of the cam: (a) the
A plate cam with a radial reciprocating roller follower is to be designed using the input, the rise and fall, and the output motion shown in Table P6.28. The base circle diameter is 3 in and the

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