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

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
A plate cam with an offset reciprocating roller follower is to be designed using the input, the rise and fall, and the output motion shown in Table P6.27. The radius of the base circle is 30 mm, the
A plate cam with an offset reciprocating roller follower has a dwell of 60◦ and then rises in 90◦ to another dwell of 120◦, after which it returns in 90◦of cam rotation. The radius of the
Write a computer program to plot the cam profile for Prob. 6.2.
Write computer programs for each of the displacement equations of Sec. 6.7.
Equations (6.30) and (6.31) describe the profile of a plate cam with a reciprocating flat-face follower.If such a cam is to be cut on a milling machine with cutter radius Rc, determine similar
Using a roller diameter of 20 mm, determine whether the cam of Prob. 6.19 is undercut.
Repeat Prob. 6.19 except that the motion is eighth-order polynomial.
Repeat Prob. 6.19 except that the motion is cycloidal.
A plate cam rotates at 300 rev/min and drives a reciprocating radial roller follower through a full rise of 75 mm in 180◦ of cam rotation. Find the minimum radius of the prime circle if simple
Graphically construct the cam profile of Prob. 6.17 using a roller radius of 0.75 in. Cam rotation is to be clockwise.
A radial reciprocating roller follower is to have the motion described in Prob. 6.7. Using a prime-circle radius of 20 in, determine the maximum pressure angle and the maximum roller radius that can
Graphically construct the cam profile of Prob. 6.15 for clockwise cam rotation.
A radial reciprocating flat-face follower is to have the motion described in Prob. 6.7. Determine the minimum prime-circle radius if the radius of curvature of the cam is not to be less than 0.5 in.
Determine the maximum pressure angle and the minimum radius of curvature for the cam of Prob. 6.1.
Determine the minimum face width using 0.1-in allowances at each end and determine the minimum radius of curvature for the cam of Prob. 6.2.
The boundary conditions for a polynomial cam motion are as follows: for θ = 0, y = 0, and y = 0, whereas for θ = β, y = L, and y = 0. Determine the appropriate displacement equation and the
Determine the maximum velocity and acceleration of the follower for Prob. 6.10, assuming that the cam is driven at a constant speed of 600 rev/min.
A plate cam with an oscillating follower is to rise through 20◦ in 60◦ of cam rotation, dwell for 45◦, then rise through an additional 20◦, return, and dwell for 60◦ of cam rotation.
If the cam of Prob. 6.7 is driven at constant speed, determine the time of the dwell and the maximum and minimum velocity and acceleration of the follower for the cam cycle.
Repeat Prob. 6.7 except with a dwell for 20◦ of cam rotation.
A plate cam with a reciprocating follower is to rotate clockwise at 400 rev/min. The follower is to dwell for 60◦ of cam rotation, after which it is to rise to a lift of 2.5 in. During 1 in of the
For full-rise cycloidal motion, determine the values of θ for which the acceleration is maximum and minimum. What are the formulae for the accelerations at these positions? Find the equations for
For full-rise simple harmonic motion, write the equations for the velocity and the jerk at the midpoint of the motion. Also, determine the acceleration at the beginning and the end of the motion.
A plate cam with an oscillating roller follower is to produce the same motion as in Prob. 6.3. The prime-circle radius is 60 mm, the roller radius is 10 mm, the length of the follower is 100 mm, and
Construct the displacement diagram and the cam profile for a plate cam with an oscillating radial flat-face follower that rises through 30◦ with cycloidal motion in 150◦ of counterclockwise cam
A plate cam with a reciprocating flat-face follower has the same motion as in Prob. 6.1. The prime-circle radius is 2 in, and the cam rotates counterclockwise.Construct the displacement diagram and
The reciprocating radial roller follower of a plate cam is to rise 2 in with simple harmonic motion in 180◦ of cam rotation and return with simple harmonic motion in the remaining 180◦. If the
The mechanism has rolling contact between rack 3 and gear 4 at point F, between gears 4 and 5 at point C, and between gears 5 and 6 at point E. Link 2 has constant angular velocity ω2 = 50 rad/s
The mechanism has rolling contact at point A. For the current posture θ2 = 60◦. Link 2 has constant angular velocity ω2 = 50 rad/s ccw, and link 3 has angular velocity ω5 = 25 rad/s cw and
The mechanism has rolling contact at point A, but there can be slipping at point B. Link 2 has a constant angular velocity of ω2 = 20 rad/s ccw, and link 3 has an angular velocity ω3 = 5 rad/s cw
Tracing point C of the pantograph linkage is required to follow a prescribed curve; that is, its two independent input variables are xC and yC.Then, point P, which carries a pen, traces a similar
The circular cam is driven by link 2 at a constant angular velocity ω2 = 15 rad/s ccw. Link 3 is rotating at a constant angular velocity ω3 = 5 rad/s cw, causing slipping at point C. Determine: (a)
To successfully transfer an object between two robots, as described in Probs. 5.7 and 5.8, it is helpful if the accelerations are also matched at point P. Assuming that the two input accelerations
For the transfer of the object described in Prob. 5.7, it is necessary that the velocities of point P of the two robots match. If the two input velocities of the first robot are ω2 = 10 rad/s cw and
For the transfer of the object described in Prob.5.7, it is necessary that the velocities of point P of the two robots match. If the two input velocities of the first robot are ω2 = 10 rad/s cw and
For the transfer of the object described in Prob.5.7, it is necessary that the velocities of point P of the two robots match. If the two input velocities of the first robot are ω2 = 10 rad/s cw and
The left two-link planar robot is attempting to transfer a small object labeled P to the similar right robot. At the posture indicated, θ2 =45◦ and θ3/2 =−15◦. (Note that θ3/2 = θ3 −θ2
For Prob. 5.5, determine the value of the sliding velocity, VP3/2, that minimizes the absolute velocity of point P of block 3. In addition, find the value of VP3/2 that minimizes the absolute
Link 2 rotates at a constant angular velocity of 10 rad/s ccw, while sliding block 3 slides toward point A on link 2 at a constant rate of 5 in/s. Find the absolute velocity and absolute acceleration
For Prob. 5.2, assuming that the two given input velocities are constant, determine the angular acceleration of link 3 at the instant indicated.
For the five-bar linkage in the posture shown in Fig. P5.2, the angular velocity of link 2 is ω2 =25 rad/s ccw and the apparent velocity VB4/5 is 5 m/s upward along link 5. Determine the angular
For the five-bar linkage in the posture shown, the angular velocity of link 2 is 15 rad/s cw and the angular velocity of link 5 is 15 rad/s cw. Determine the angular velocity of link 3 and the
Slotted links 2 and 3 are driven independently at constant speeds of ω2 = 30 rad/s cw and ω3 = 20 rad/s cw, respectively. Find the absolute velocity and acceleration of the center of pin P carried
For the mechanism in the posture shown, the first- and second-order kinematic coefficients areθ3 = 2.165 rad/rad, θ4 = −7.143 rad/rad, θ3 =−9.369 rad/rad2, and θ4 = 26.784
For the linkage of Prob. 3.61 in the posture shown, the first- and second-order kinematic coefficients are θ3 = θ4 = 1 rad/rad, R34 = −12 in/rad, θ3 =θ4 = +2.309 rad/rad2, and R34 =
For the mechanism in the posture shown, the firstand second-order kinematic coefficients are θ3 =−4.333 rad/rad, θ4 = 0, R4 = 26 in/rad, θ3 =0, θ4 = 0.813 rad/rad2, and R4 = 4.875
For the linkage in the posture shown, the first- and second-order kinematic coefficients are θ3 = θ4 = 0.5 rad/rad, θ3 = θ4 = 0, R34 = 0, and R34 =−50 mm/rad 2 (where R34 is the vector
For the mechanism in the posture shown, the first- and second-order kinematic coefficients areθ3 = −3.464 rad/rad, θ4 = 1 rad/rad, θ3 = 5.464 rad/rad2, and θ4 = 7.732 rad/rad2,
For the linkage in the posture shown, the first- and second-order kinematic coefficients areθ3 = −3.0 rad/rad, R4 = 86.6 mm/rad, θ3 =−13.856 rad/rad2, and R4 = 150 mm/rad 2 (where R4 is
For the mechanism in the posture shown, link 4 is rolling without slipping on the ground at point C, and the first- and second-order kinematic coefficients are θ3 = −1.341 rad/rad, R4 =−3.097
For the gear train in Prob. 3.55, the angular velocity and acceleration of input arm 2 are ω2 = 50 rad/s cw and α2 = 15 rad/s2 cw, respectively. Using the method of kinematic coefficients,
For the gear train in Prob. 3.54, the angular velocity and acceleration of input gear 2 are ω2 = 77 rad/s ccw and α2 = 5 rad/s 2 cw, respectively. Determine: (a) the second-order kinematic
For the rack-and-pinion mechanism in the posture shown, the first- and second-order kinematic coefficients are R2 = −400 mm/rad, R4 =−346.41 mm/rad, R2 = 1 385.6 mm/rad 2, and R4 = 1 400
For the mechanism in the posture shown, the first- and second-order kinematic coefficients are θ3 = 0.50 rad/ft, R4 = −1.00 ft/ft, θ3 = 0.25 rad/ft2, and R4 = −1.00 ft/ft2. Roller 4 is
For the mechanism in the posture shown in Fig. P3.51, the first- and second-order kinematic coefficients are θ3 = −8.333 rad/rad,r2 =−100 mm/rad, θ3 = −8.642 rad/rad2, and r2
On 18 in × 24 in paper, draw the four-bar linkage full size, placing A 6 in up from the lower edge and 7 in left of the right edge. (Better utilization of the paper is obtained by tilting the frame
Figure P3.32 illustrates an epicyclic gear train driven by the arm, link 2, with an angular velocityω2 = 3.33 rad/s cw and an angular accelerationα2 = 15 rad/s 2 ccw. Define point E as a point on
For the linkage of Prob. 3.17, link 2 is rotating with an angular velocity ω2 = 15 rad/s ccw and an angular acceleration α2 = 320.93 rad/s 2 cw.For the instantaneous motion of connecting rod 3,
Consider the double-slider linkage in the posture given in Prob. 3.8. Point B moves with a constant velocity VB = 40 m/s to the left, as shown in the figure. The angular velocity and angular
For the four-bar linkage in the posture shown, link 2 is 30◦ counterclockwise from the ground link, and the angular velocity and angular acceleration of the coupler link are ω3 = 5 rad/s ccw and
For the motion of the coupler relative to the frame, find the inflection circle, the centrode normal, the centrode tangent, and the centers of curvature of points C and D of the linkage of Prob.
Draw the inflection circle for the absolute motion of the coupler of the four-bar linkage. Find the center of curvature of the coupler curve of point C and generate a portion of the path of C to

Showing 200 - 300 of 1101