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

For the mechanism in the posture shown, line AB is vertical and line CD is horizontal. Determine the first-order kinematic coefficients of the mechanism. If the angular velocity of the input link 2
For the mechanism in the posture shown, determine the first-order kinematic coefficients of links 3, 4, 5, and 6. If the constant input velocity VA2 = 0.090ˆj m/s, determine the angular velocities
For the mechanism in the posture shown, the pinion(link 3) rolls without slip on rack 4 at point B.Determine the first-order kinematic coefficients of the mechanism. If the velocity of input link 2
For the mechanism in the posture shown, the radius of the wheel (link 5) is rolling on the circular ground link. Determine the first-order kinematic coefficients of the mechanism. If the input link
For the mechanism in the posture shown, the input arm, link 2, is pinned to the ground at O1 and is pinned to the center of gear 3 at A. The center of gear 4 is also pinned to the ground at O1, and
For the mechanism in the posture shown, the internal track of input gear 2 is in rolling contact with gear 3 at point C, and the external track is in rolling contact with rack 5 at point F. Gear 3 is
For the mechanism in the posture shown, determine the first-order kinematic coefficients of the mechanism. If the velocity of link 2 is VA2 = 0.30 m/s in the direction shown, determine: (a) the
For the linkage in the posture shown, link 2 is the input, link 3 is horizontal, and link 4 is vertical. Write the vector loop equation and determine the kinematic coefficients of the mechanism. If
For the mechanism in the posture shown, wheel 3 is rolling without slipping on the ground link at point C while sliding in the slot in link 2. Write the vector loop equation and determine the
For the mechanism in the posture shown in Fig. P2.17, link 4 is parallel to the x axis and link 5 is coincident with the y axis. The radius of wheel 3 is ρ3 = 0.75 in, RO2O5 = 7.0 in, RBA = 5.5 in,
For the mechanism in the posture shown in Fig. P2.16, ρ2 = 1 in, ρ5 = 2 in, RBA = 7.071 in, and RBC = 6 in. Determine the first-order kinematic coefficients of links 3, 4, and 5. If link 2 is
For the rack-and-pinion mechanism in the posture shown in Fig. P2.15, the input link, 2, is vertical, and ∠BAO2 is 150◦. The dimensions are ρ5 = 2.5 in, RO5O2 = −8ˆi + 4ˆj in, RAO2 = 2 in,
For the inverted slider-crank linkage in the posture shown, where θ4 = 60◦, the input link, 2, is moving parallel to the x axis. Determine the first-order kinematic coefficients of links 3 and 4.
For the mechanism in the posture shown, whereθ2 = 150◦, RPA = RAO4 , and RPB = RBA, determine the first-order kinematic coefficients of links 3, 4, and 5. If the angular velocity of the input link
For the mechanism in the posture shown, where RAO4 = 40 mm, pinion 4, is rolling without slipping on rack 3 at point B. Determine the first-order kinematic coefficients of rack 3 and pinion 4. If VA
For the mechanism in the posture shown in Fig. P3.30, input crank 2 has an angular velocityω2 = 10 rad/s ccw, and there is rolling contact between links 5 and 6 at point F. Determine the first-order
For the mechanism in the posture shown, RAO4 =10 in, and the input velocity is VA = −5ˆi in/s.Determine the first-order kinematic coefficients to obtain the angular velocity of link 3 and the
For the rack-and-pinion mechanism of Example 2.8 (Figs. 2.33 and 2.34), the dimensions are R1 = 800 mm, R9 = 550 mm, θ34 = 60◦, andρ3 = 500 mm. In the posture where R2 = 750 mm, input link 2 has
For the rack-and-pinion mechanism in the posture shown, link 2 is the input, and pinion 3 is rolling without slipping on rack 4 at point D. Determine the first-order kinematic coefficients of links 3
The posture of the input link 2 is RAO4 =−120ˆi mm, and the velocity of point A is VA =15ˆi m/s. Determine the first-order kinematic coefficients for the mechanism. Find the angular velocities of
Locate all instant centers for the mechanism of Prob. 3.29.
Locate all instant centers for the mechanism of Prob. 3.28.
Locate all instant centers for the mechanism of Prob. 3.27.
Locate all instant centers for the mechanism of Prob. 3.26.
Locate all instant centers for the mechanism of Prob. 3.25.
Locate all instant centers for the linkage of Prob. 3.22.
The diagram shows a planar schematic approximation of an automotive front suspension. The roll center is the term used by the industry to describe the point about which the auto body seems to rotate
The epicyclic gear train is driven by the arm, link 2, at ω2 = 10 rad/s cw. Determine the angular velocity of the output shaft, which is attached to gear 3.
The two-piston pump, in the posture shown, is driven by a circular eccentric, link 2, at ω2 = 25 rad/s ccw. Find the velocities of the two pistons, links 6 and 7.Figure P3.31
The mechanism in the posture shown is driven by link 2 at 10 rad/s ccw. There is rolling contact at point F. Determine the velocities of points E and G, and the angular velocities of links 3, 4, 5,
For the circular cam in the posture shown, the angular velocity of the cam is ω2 = 15 rad/s ccw.There is rolling contact between the cam and the roller, link 3. Find the angular velocity of the
For the mechanism in the posture shown, the velocity of point C is VC = 10 in/s to the left.There is rolling contact between links 1 and 2,but slip is possible between links 2 and 3. Determine the
Perform a complete velocity analysis of the modified four-bar linkage for ω2 = 72 rad/s ccw.Figure P3.27 RAO2 = RDC = 1.5 in, RBA = 10.5 in, RO4O2 = 6 in, RBO4 = 5 in, RO6O2 = 7 in, and REO6 = 8 in.
A variation of the Scotch-yoke linkage in the posture shown is driven by crank 2 at ω2 = 36 rad/s ccw. Find the velocity of the crosshead, link 4.Figure P3.26 RAO2 = 250 mm.
For the linkage in the posture shown, the velocity of point A is 1ˆi ft/s. Find the velocity of coupler point B.Figure P3.25
For the inverted slider-crank linkage in the posture shown, the angular velocity of the crank is ω2 =24 rad/s cw. Make a complete velocity analysis of the linkage. What is the absolute velocity of
For the linkage used in a two-cylinder 60◦V-engine consisting, in part, of an articulated connecting rod crank 2 rotates at 2 000 rev/min cw. Find the velocities of points B, C, and D.
For the double-slider linkage in the posture shown, the angular velocity of the input crank 2 is 42 rad/s cw. Find the velocities of points B, C, and D.Figure P3.22 RAO2 = 2 in, RBA = 10 in, RCA =4
For the four-bar linkage in the posture shown, link 2 has an angular velocity of 56 rad/s ccw. Find the velocity of point C.Figure P3.21 RAO2 = 150 mm, RBA = RBO4 =250 mm, RO4O2 = 100 mm, and RCA =
For the four-bar linkage in the posture shown, the angular velocity of the input link 2 is 8 rad/s ccw. Find the velocity of point C and the angular velocity of link 3.Figure P3.20 RAO2 = 150 mm, RBA
For the four-bar linkage in the posture shown, link 2 is driven at ω2 = 36 rad/s cw. Find the angular velocity of link 3 and the velocity of point B.Figure P3.19 RAO2 = 5 in, RBA = RBO4 = 8 in, and
For the four-bar linkage shown, the angular velocity of crank 2 is a constant 16 rad/s cw. Plot a polar velocity diagram for the velocity of point B for all crank positions. Check the positions of
For the modified slider-crank linkage in the posture shown, crank 2 has an angular velocity of 10 rad/s ccw. Find the angular velocity of link 6 and the velocities of points B, C, and D.
For the four-bar linkage in the posture shown, crank 2 has an angular velocity of 30 rad/s cw.Find the velocity of coupler point C and the angular velocities of links 3 and 4.Figure P3.16 RAO2 = 3
Crank 2 of the inverted slider-crank linkage, in the posture shown, is driven at ω2 = 60 rad/s ccw.Find the angular velocities of links 3 and 4, and the velocity of point B.Figure P3.15 RAO2 = 75
For the four-bar linkage in the posture shown, link 2 has an angular velocity of 60 rad/s ccw. Find the angular velocities of links 3 and 4, and the velocity of point C.Figure P3.14 RAO2 = RBA = 6
The antiparallel, or crossed, four-bar linkage in the posture shown is driven by link 2 at ω2 = 1 rad/s ccw. Find the velocities of points C and D.Figure P3.13 RAO2 = RBO4 = 300 mm, RBA = RO4O2 =150
For the parallelogram four-bar linkage, demonstrate that ω3 is always zero and that ω4 = ω2.How would you describe the motion of link 4 with respect to link 2?
The four-bar linkage in the posture shown is driven by crank 2 at ω2 = 48 rad/s ccw. Find the angular velocity of link 3 and the velocity of point C on link 4.Figure P3.11 RAO2 = 8 in, RBA = 32 in,
The four-bar linkage in the posture shown is driven by crank 2 at ω2 = 60 rad/s cw. Find the angular velocities of links 3 and 4, and the velocity of pin B and point C on link 3.Figure P3.10 RAO2 =
The four-bar linkage in the posture shown is driven by crank 2 at ω2 = 45 rad/s ccw. Find the angular velocities of links 3 and 4.Figure P3.9 RAO2 = 4 in, RBA = 10 in, RO4O2 = 10 in, and RBO4 = 12
For the double-slider linkage in the posture shown, the velocity of point B is 40 m/s. Find the velocity of point A and the angular velocity of link 3.Figure P3.8 RAB = 400 mm.
Include a wind of 30 mi/h from the west with the data of Prob. 3.6. (a) If airplane A flies at the same heading, what is its new path? (b) What change does the wind make in the results of Prob. 3.6?
An airplane takes off from point B and flies east at 350 mi/h. Simultaneously, another airplane at point A, 200 miles southeast, takes off and flies northeast at 390 mi/h. (a) How close will the
The distance between points A and B, located along the radius of a wheel, is RBA = 300 mm. The speeds of points A and B are VA = 80 m/s and VB =140 m/s, respectively. Find the diameter of the wheel,
Wheel 2 rotates at 600 rev/min cw and drives wheel 3 without slipping. Find the velocity difference between points B and A.Figure P3.4
Automobile A is traveling south at 55 mi/h and automobile B is traveling north 60◦ east at 40 mi/h.Find the velocity difference between B and A and the apparent velocity of B to the driver of A.
The path of a point is defined by the equation R =t 2 +4e−jπt/10, where R is in meters. Find the velocity of the point at t = 20 s.
The position vector of a point is given by the equation R = 100ejπt, where R is in inches. Find the velocity of the point at t = 0.40 s.
A crank-rocker four-bar linkage is shown in two different postures for which θ2 = 150◦ and θ2 =240◦. Determine θ3 and θ4 for the open posture andθ3 and θ4 for the crossed posture.
Consider a four-bar linkage for which ground link 1 is 14 in, input link 2 is 7 in, coupler link 3 is 10 in, and output link 4 is 8 in. The fixed x and y axes are specified as horizontal and
For the input angle θ2 = 60◦, measured counterclockwise from the x axis, determine the two postures of link 4.
For the input angle θ2 = 300◦, measured counterclockwise from the x axis, determine the two postures of link 4.Figure P2.31 r2 = 60 mm, r3 = 140 mm, r4 = 140 mm, and r1 = 160 mm.
Define a set of vectors that is suitable for a complete kinematic analysis of the mechanism. Label and show the sense and orientation of each vector.Write the vector loop equation(s) for the
Define a set of vectors that is suitable for a complete kinematic analysis of the mechanism.Label and show the sense and orientation of each vector. Write the vector loop equation(s)for the
Define a set of vectors that is suitable for a complete kinematic analysis of the mechanism.Label and show the sense and orientation of each vector. Write the vector loop equation(s) for Figure P2.27
Section 1.10 states that the transmission angle reaches an extreme value for the four-bar linkage when the crank lies on the line between the fixed pivots. Referring to Fig. 2.19, this means that
Using the offset slider-crank linkage in Fig. P2.13, find the crank angles corresponding to the extreme values of the transmission angle.
Plot the path of point P for: (a) inverted slider-crank linkage; (b) second inversion of the slider-crank linkage; (c) Scott-Russell straight-line linkage; and (d) drag-link linkage.Figure P2.24 (a)
Write a computer program to plot the coupler curve of any crank-rocker or double-crank form of the four-bar linkage. The program should accept four link lengths and either rectangular or polar
Write a calculator program to find the sum of any number of two-dimensional vectors expressed in mixed rectangular or polar forms. The result should be obtainable in either form with the magnitude
For the mechanism in Fig. P1.10, define a set of vectors that is suitable for a complete kinematic analysis of the mechanism. Label and show the sense and orientation of each vector. Write the vector
For the mechanism in Fig. P1.9, define a set of vectors that is suitable for a complete kinematic analysis of the mechanism. Label and show the sense and orientation of each vector. Write the vector
For the mechanism in Fig. P1.8, define a set of vectors that is suitable for a complete kinematic analysis of the mechanism. Label and show the sense and orientation of each vector. Write the vector
For the mechanism in Fig. P1.6, define a set of vectors that is suitable for a complete kinematic analysis of the mechanism. Label and show the sense and orientation of each vector.Write the vector
Gear 3, which is pinned to link 4 at point B, is rolling without slipping on semicircular ground link 1. The radius of gear 3 is ρ3, and the radius of the ground link is ρ1. Define a set of vectors
Define a set of vectors that is suitable for a complete kinematic analysis of the mechanism.Label and show the sense and orientation of each vector. Assuming rolling with no slipping between gears 2
Define a set of vectors that is suitable for a complete kinematic analysis of the rack-and-pinion mechanism. Label and show the sense and orientation of each vector. Assuming rolling with no slip
Define a set of vectors that is suitable for a complete kinematic analysis of the mechanism.Label and show the sense and orientation of each vector. Write the vector loop equation(s)for the
The offset slider-crank linkage is driven by crank 2. Write the loop-closure equation. Solve for the position of slider 4 as a function of θ2.Figure P2.13 RAO = 1 in, RBA = 2.5 in, and RCB = 7 in.
The double-slider linkage is driven by moving sliding block 2. Write the loop-closure equation.Solve analytically for the position of sliding block 4. Check the result graphically for the position
A point Q moves from A to B along link 3 while link 2 rotates from θ2 = 30◦ to θ2 = 120◦. Find the absolute displacement of Q.Figure P2.11 RAO2 = RBO4 = 3 in and RBA = RO4O2 = 6 in.
A wheel with center at O rolls without slipping on the ground at point P. If point O is displaced 10 in to the right, determine the displacement of point P during this interval.Figure P2.10 Rolling
Link 2 rotates according to the equation θ = πt/4.Block 3 slides outward on link 2 according to the equation r = t 2 + 2. What is the absolute displacement RP3 from t = 1 to t = 2? What is the
The location of a point is defined by the equation R = (4t +2)ejπt 2/30. Motion of the point is initiated when t = 0. What is the displacement until t = 3? Find the change in angular orientation of
The equation R = (t 2 +4)e−jπt/10 defines the position of a point. In which direction is the position vector rotating? Where is the point located when t = 0? What is the next value t can have if
The position of a point is given by the equation R =100ej2πt. What is the path of the point? Determine the displacement of the point from t = 0.10 to t = 0.40.
If point A moves on the locus of Problem 2.1, find its displacement from t = 2 to t = 2.5.
The path of a moving point P is defined by the equation y = 60 − x3/3. What is the displacement of the point if its motion begins at Rx P = 0 and ends at Rx P = 3?
The path of a moving point is defined by the equation y = 2x2 −28. Find the position difference from point P to point Q if Rx P = 4 and Rx Q = −3.
Find the position difference from point P to point Q on the curve y = x2 + x − 16, where Rx P = 2 and Rx Q = 4.
Describe and sketch the locus of a point A, which moves according to the equations Rx A = atcos(2πt), Ry A = atsin(2πt), and Rz A = 0.
A large and very high-speed turbine is to operate at an angular velocity of ω = 18 000 rev/min and will have a rotor with a principal mass moment of inertia of Is = 225 in · lb · s2. It has been
The propeller of an outboard motorboat is spinning at high speed and is caused to precess by steering to the right or left. Do the gyroscopic effects tend to raise or lower the rear of the boat? What
The oscillating fan precesses sinusoidally according to the equation θp = β sin 1.5t, where β =30◦; the fan blade spins at ωs = 1 800ˆi rev/min.The weight of the fan and motor armature is 5.25
Using the gyroscopic formulae, Eqs. (16.33)–(16.35), solve the problem presented in Example 12.9 of Chap. 12.
In a pendulum mill, shown schematically in Fig. P16.6, the grinding is by a conical muller that is free to spin about a pendulous axle that, in turn, is connected to a powered vertical shaft by a
Find Tm for the four-cylinder engine whose torque displacement is that of Fig. 16.4.
The load torque required by a 200-ton punch press is displayed in Table P16.4 for one revolution of the flywheel. The flywheel is to have a nominal angular velocity of 2 400 rev/min and to be
Using the data of Table 16.1, find the mean output torque and the flywheel inertia required for a three-cylinder in-line engine corresponding to a nominal speed of 2 400 rev/min. Use Cs = 0.03.

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