Engineering Mechanics: Dynamics (14th Edition)
14th Edition
ISBN: 9780133915389
Author: Russell C. Hibbeler
Publisher: PEARSON
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Chapter 15.9, Problem 145P
To determine
The upward acceleration of the helicopter.
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assignment in Blackboard.
missing information to present a completed program. (Hint: You may have to look up geometry
for the center drill and standard 0.5000 in twist drill to know the required depth to drill).
1. What are the x and y dimensions for the center position of holes 1,2, and 3 in the part shown in
Figure 26.2 (below)?
6.0000
Zero
reference
point
7118
1.0005
1.0000
1.252
Bore
6.0000
.7118
Cbore
0.2180 deep
(3 holes)
2.6563 1.9445
Figure 26.2
026022 (8lot and Drill Part)
(Setup Instructions---
(UNITS: Inches
(WORKPIECE NAT'L SAE 1020 STEEL
(Workpiece: 3.25 x 2.00 x0.75 in. Plate
(PRZ Location 054:
'
XY 0.0 - Upper Left of Fixture
TOP OF PART 2-0
(Tool List
( T02 0.500 IN 4 FLUTE FLAT END MILL
#4 CENTER DRILL
Dashed line indicates-
corner of original stock
( T04
T02
3.000 diam. slot
0.3000 deep.
0.3000 wide
Intended toolpath-tangent-
arc entry and exit sized to
programmer's judgment…
A program to make the part depicted in Figure 26.A has been created, presented in figure 26.B, but some information still needs to be filled in. Compute the tool locations, depths, and other missing information to present a completed program. (Hint: You may have to look up geometry for the center drill and standard 0.5000 in twist drill to know the required depth to drill).
We consider a laminar flow induced by an impulsively started infinite flat
plate. The y-axis is normal to the plate. The x- and z-axes form a plane parallel
to the plate. The plate is defined by y = 0. For time t <0, the plate and the flow
are at rest. For t≥0, the velocity of the plate is parallel to the 2-coordinate;
its value is constant and equal to uw. At infinity, the flow is at rest. The flow
induced by the motion of the plate is independent of z.
(a) From the continuity equation, show that v=0 everywhere in the flow and
the resulting momentum equation is
მu
Ət
Note that this equation has the form of a diffusion equation (the same form as
the heat equation).
(b) We introduce the new variables T, Y and U such that
T=kt, Y=k/2y, U = u
where k is an arbitrary constant. In the new system of variables, the solution
is U(Y,T). The solution U(Y,T) is expressed by a function of Y and T and the
solution u(y, t) is expressed by a function of y and t. Show that the functions are
identical.…
Chapter 15 Solutions
Engineering Mechanics: Dynamics (14th Edition)
Ch. 15.2 - Determine the impulse of the force for t = 2 s.Ch. 15.2 - Determine the magnitude of the impulse the ground...Ch. 15.2 - The crate starts from rest and is towed by the...Ch. 15.2 - Determine the speed of the 25-kg crate when t = 4...Ch. 15.2 - If the car starts from rest, determine its speed...Ch. 15.2 - The traction force developed at the wheels is FD =...Ch. 15.2 - Determine the impulse of his foot on the ball at...Ch. 15.2 - The crate starts from rest and is towed by the...Ch. 15.2 - Determine the average tension in each of the two...Ch. 15.2 - If the uniform beam has a weight of 5000 lb,...
Ch. 15.2 - Determine the magnitude of the net impulse exerted...Ch. 15.2 - If it takes 80 s for the train to increase its...Ch. 15.2 - If they start from rest, determine their speed...Ch. 15.2 - If the impact occurs in 0.06 s, determine the...Ch. 15.2 - The winch delivers a horizontal towing force T to...Ch. 15.2 - If the crate starts from rest and achieves a speed...Ch. 15.2 - To achieve this the 2-kg spike S is fired into the...Ch. 15.2 - If the van has a speed of 20 km/h when t = 0,...Ch. 15.2 - If the speed decreases to 40 km/h in 5 s,...Ch. 15.2 - If it strikes the barrier, determine the...Ch. 15.2 - If the 100 kg crate is originally at rest at t = 0...Ch. 15.2 - From the data shown in the graphs, determine the...Ch. 15.2 - Determine its speed, starting from rest, when t =...Ch. 15.2 - Determine the speed of the crate when t = 3 s and...Ch. 15.2 - If these loadings vary in the manner shown on the...Ch. 15.2 - If the cabinet is initially moving to the left...Ch. 15.2 - The propeller provides the propulsion force F...Ch. 15.2 - Determine the sleds maximum velocity and the...Ch. 15.2 - If the 34-lb crate is originally on the ground at...Ch. 15.2 - If the 34-lb crate is originally at rest on the...Ch. 15.2 - The balloon is rising at a constant velocity of 18...Ch. 15.2 - Prob. 26PCh. 15.2 - Determine the speed of the crate when t = 3 s,...Ch. 15.2 - Determine how high the crate has moved upward when...Ch. 15.2 - As a result of the explosion, the cylinder...Ch. 15.2 - If the carrier is traveling forward with a speed...Ch. 15.2 - If B is moving downward with a velocity (vB)1 = 3...Ch. 15.2 - Prob. 32PCh. 15.2 - The winch delivers a horizontal towing force T to...Ch. 15.2 - It then travels along the trajectory shown before...Ch. 15.2 - Determine the velocity of A after collision if the...Ch. 15.2 - If the cart has a smooth surface and it is...Ch. 15.3 - If the two blocks couple together after collision,...Ch. 15.3 - If the spring is compressed s = 200 mm and then...Ch. 15.3 - If A is stationary and B has a velocity of 15 m/s...Ch. 15.3 - If a 20-kg projectile is fired from the cannon...Ch. 15.3 - Meanwhile a 2-Mg car A is traveling at 15 m/s to...Ch. 15.3 - Determine the distance s the boy reaches up the...Ch. 15.3 - At the same time another car having a mass of 12...Ch. 15.3 - When a 2-g bullet strikes and becomes embedded in...Ch. 15.3 - If he lands on the second fiat car B, determine...Ch. 15.3 - Determine the speed of the block just after the...Ch. 15.3 - Determine the speed of the block just after the...Ch. 15.3 - Determine the distance the block will slide before...Ch. 15.3 - When the toboggan reaches the bottom of the slope...Ch. 15.3 - Determine its speed v2 and its direction 2 when it...Ch. 15.3 - A spring, having a stiffness of k = 60 N/m, is...Ch. 15.3 - Determine the maximum compression of the spring...Ch. 15.3 - They are placed on a smooth surface and the spring...Ch. 15.3 - If they exchange positions, A going to B and then...Ch. 15.3 - If A walks to B and stops, and both walk back...Ch. 15.3 - If someone drives the automobile to the other side...Ch. 15.3 - A 10-kg crate is released from rest at A and...Ch. 15.3 - Block A has a mass of 5 kg and is placed on the...Ch. 15.3 - if the coefficient of kinetic friction between A...Ch. 15.3 - When it reaches the bottom, a spring loaded gun...Ch. 15.3 - If the belt starts from rest and begins to run...Ch. 15.3 - If the 10-g bullet is traveling at 300 m/s when it...Ch. 15.3 - The velocities of A and B before and after the...Ch. 15.3 - If the coefficient of restitution between the...Ch. 15.4 - As it slides down the ramp, it strikes the 80-lb...Ch. 15.4 - If the coefficient of restitution between the ball...Ch. 15.4 - Disk B has a mass of 11 kg and is initially at...Ch. 15.4 - Two disks A and B each have a mass of 1 kg and the...Ch. 15.4 - Disk A has a mass of 250 g and is sliding on a...Ch. 15.4 - After the collision, the car moves with a velocity...Ch. 15.4 - If the coefficient of restitution between the...Ch. 15.4 - The block has a velocity v = 10 m/s when it is s =...Ch. 15.4 - If A and B are rolling forward with velocity v and...Ch. 15.4 - If A and B are rolling forward with velocity v and...Ch. 15.4 - If e = 0.7, determine the velocity of each ball...Ch. 15.4 - If the coefficient of restitution between A and B...Ch. 15.4 - If the coefficient of restitution between A and B...Ch. 15.4 - If ball A is released from rest and strikes ball B...Ch. 15.4 - Determine (a) the velocity at which it strikes the...Ch. 15.4 - If the coefficient of restitution between the ball...Ch. 15.4 - If A is given a velocity of 0, while sphere B is...Ch. 15.4 - Determine the initial velocity vA of the ball and...Ch. 15.4 - Determine the initial velocity vA, the final...Ch. 15.4 - If both disks are moving with the velocities shown...Ch. 15.4 - If both disks are moving with the velocities shown...Ch. 15.4 - If the coefficient of restitution between the ball...Ch. 15.4 - If it rebounds to a height of hl, determine the...Ch. 15.4 - If it makes a direct collision with ball B (e =...Ch. 15.4 - If the coefficient of restitution between the...Ch. 15.4 - If they collide with the initial velocities shown,...Ch. 15.4 - If the coefficient of restitution between the ball...Ch. 15.4 - Determine (a) the velocity at which it strikes the...Ch. 15.4 - The box has a velocity v = 15 ft/s when it is 2 ft...Ch. 15.4 - Prob. 83PCh. 15.4 - If it rebounds at an angle and the coefficient of...Ch. 15.4 - If it rebounds at the same angle = 45 , determine...Ch. 15.4 - lf A strikes B with a velocity (vA)1 = 1.5 m/s as...Ch. 15.4 - If each "stone" is smooth and has a weight of 47...Ch. 15.4 - If each "stone" is smooth and has a weight of 47...Ch. 15.4 - If they have masses mA = 4 kg and mB = 2 kg,...Ch. 15.4 - if cranberries having an e 0.8 are to be...Ch. 15.4 - Prob. 91PCh. 15.4 - Prob. 92PCh. 15.4 - If they are sliding on a smooth horizontal plane...Ch. 15.4 - Determine its angular momentum HO about point O.Ch. 15.4 - Determine its angular momentum Hp about point P.Ch. 15.7 - If a constant tangential force F = 5 N is applied...Ch. 15.7 - If the block starts from rest, determine its speed...Ch. 15.7 - If the system is subjected to a couple moment M =...Ch. 15.7 - If the spheres are subjected to tangential forces...Ch. 15.7 - Determine the angular momentum HO of the 6-lb...Ch. 15.7 - Determine the angular momentum HP of the 6-lb...Ch. 15.7 - Determine the angular momentum HO, of each of the...Ch. 15.7 - Determine the angular momentum Hp, of each of the...Ch. 15.7 - Determine the angular momentum HO of the 3-kg...Ch. 15.7 - Determine the angular momentum Hp of the 3-kg...Ch. 15.7 - If the rod is subjected to a torque M = (t2 + 2) N...Ch. 15.7 - If the helix descends 8 ft for every one...Ch. 15.7 - If the helix descends 8 ft for every one...Ch. 15.7 - If the attached cord is pulled down through the...Ch. 15.7 - If the attached cord is pulled down through the...Ch. 15.7 - The blocks are fixed to the horizontal rods, and...Ch. 15.7 - The particle is placed at the position shown and...Ch. 15.7 - The car starts from rest. The total mass of the...Ch. 15.7 - If the force F on the cord is increased, the bob...Ch. 15.7 - It is attached to a fixed point at A and a block...Ch. 15.7 - If at t = 0, the cable OA is pulled in toward O at...Ch. 15.7 - If the rope is pulled inward with a constant speed...Ch. 15.7 - If the track is flat and banked at an angle of 60,...Ch. 15.7 - If the launch angle at this position is A = 70,...Ch. 15.7 - Prob. 114PCh. 15.9 - If the water has a cross-sectional area of 0.05...Ch. 15.9 - If the fan ejects air with a speed of 14 m/s,...Ch. 15.9 - Prob. 117PCh. 15.9 - Prob. 118PCh. 15.9 - If one-fourth of the water flows downward while...Ch. 15.9 - Water flows through the pipe at A with a velocity...Ch. 15.9 - Prob. 121PCh. 15.9 - Prob. 122PCh. 15.9 - If the locomotive is traveling at a constant speed...Ch. 15.9 - Prob. 124PCh. 15.9 - Prob. 125PCh. 15.9 - The machine discharges the snow through a tube T...Ch. 15.9 - Prob. 127PCh. 15.9 - Prob. 128PCh. 15.9 - It is then divided equally between the two outlets...Ch. 15.9 - Prob. 130PCh. 15.9 - Prob. 131PCh. 15.9 - Prob. 132PCh. 15.9 - Prob. 133PCh. 15.9 - Prob. 134PCh. 15.9 - Prob. 135PCh. 15.9 - Prob. 136PCh. 15.9 - Prob. 137PCh. 15.9 - Prob. 138PCh. 15.9 - Prob. 139PCh. 15.9 - The jet is traveling at a speed of 720 km/h. If...Ch. 15.9 - Prob. 141PCh. 15.9 - Air enters the intake scoops S at the rate of 50...Ch. 15.9 - Prob. 143PCh. 15.9 - Prob. 144PCh. 15.9 - Prob. 145PCh. 15.9 - Prob. 146PCh. 15.9 - Prob. 147PCh. 15.9 - Prob. 148PCh. 15.9 - Prob. 149PCh. 15.9 - If the ball then moves horizontally to the right,...Ch. 15.9 - Prob. 2CPCh. 15.9 - If the coefficient of kinetic friction between the...Ch. 15.9 - The coefficient of kinetic friction between the...Ch. 15.9 - If a horizontal force F is applied such that it...Ch. 15.9 - They are traveling along the track with the...Ch. 15.9 - If the projectile penetrates and emerges from the...Ch. 15.9 - If the collision is perfectly elastic (e = 1),...Ch. 15.9 - If A strikes B with a velocity of (vA)1 = 2 m/s as...Ch. 15.9 - If the frame is subjected to a couple M = (8t2 +...
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- Part A: Suppose you wanted to drill a 1.5 in diameter hole through a piece of 1020 cold-rolled steel that is 2 in thick, using an HSS twist drill. What values if feed and cutting speed will you specify, along with an appropriate allowance? Part B: How much time will be required to drill the hole in the previous problem using the HSS drill?arrow_forward1.1 m 1.3 m B 60-mm diameter Brass 40-mm diameter Aluminum PROBLEM 2.52 - A rod consisting of two cylindrical portions AB and BC is restrained at both ends. Portion AB is made of brass (E₁ = 105 GPa, α = 20.9×10°/°C) and portion BC is made of aluminum (Ę₁ =72 GPa, α = 23.9×10/°C). Knowing that the rod is initially unstressed, determine (a) the normal stresses induced in portions AB and BC by a temperature rise of 42°C, (b) the corresponding deflection of point B.arrow_forward30 mm D = 40 MPa -30 mm B C 80 MPa PROBLEM 2.69 A 30-mm square was scribed on the side of a large steel pressure vessel. After pressurization, the biaxial stress condition at the square is as shown. For E = 200 GPa and v=0.30, determine the change in length of (a) side AB, (b) side BC, (c) diagnonal AC.arrow_forward
- Please solve in detail this problem thank youarrow_forward0,5 mm 450 mm 350 mm Bronze A = 1500 mm² E = 105 GPa प 21.6 × 10-PC Aluminum A = 1800 mm² £ = 73 GPa = a 23.2 × 10-PC PROBLEM 2.58 Knowing that a 0.5-mm gap exists when the temperature is 24°C, determine (a) the temperature at which the normal stress in the aluminum bar will be equal to -75 MPa, (b) the corresponding exact length of the aluminum bar.arrow_forward0.5 mm 450 mm -350 mm Bronze Aluminum A 1500 mm² A 1800 mm² E 105 GPa E 73 GPa K = 21.6 X 10 G < = 23.2 × 10-G PROBLEM 2.59 Determine (a) the compressive force in the bars shown after a temperature rise of 82°C, (b) the corresponding change in length of the bronze bar.arrow_forward
- The truss shown below sits on a roller at A and a pin at E. Determine the magnitudes of the forces in truss members GH, GB, BC and GC. State whether they are in tension or compression or are zero force members.arrow_forwardA weight (W) hangs from a pulley at B that is part of a support frame. Calculate the maximum possible mass of the weight if the maximum permissible moment reaction at the fixed support is 100 Nm. Note that a frictionless pin in a slot is located at C.arrow_forwardIt is the middle of a winter snowstorm. Sally and Jin take shelter under an overhang. The loading of the snow on top of the overhang is shown in the figure below. The overhang is attached to the wall at points A and B with pin supports. Another pin is at C. Determine the reactions of the pin supports at A and B. Express them in Cartesian vector form.arrow_forward
- Recall that the CWH equation involves two important assumptions. Let us investigate how these assumptions affect the accuracy of state trajectories under the control inputs optimized in (a) and (b). (c.1): Discuss the assumptions about the chief and deputy orbits that are necessary for deriving CWH.arrow_forwardPROBLEM 2.50 1.8 m The concrete post (E-25 GPa and a = 9.9 x 10°/°C) is reinforced with six steel bars, each of 22-mm diameter (E, = 200 GPa and a, = 11.7 x 10°/°C). Determine the normal stresses induced in the steel and in the concrete by a temperature rise of 35°C. 6c " 0.391 MPa 240 mm 240 mm 6₁ = -9.47 MPaarrow_forwardFor some viscoelastic polymers that are subjected to stress relaxation tests, the stress decays with time according to a(t) = a(0) exp(-4) (15.10) where σ(t) and o(0) represent the time-dependent and initial (i.e., time = 0) stresses, respectively, and t and T denote elapsed time and the relaxation time, respectively; T is a time-independent constant characteristic of the material. A specimen of a viscoelastic polymer whose stress relaxation obeys Equation 15.10 was suddenly pulled in tension to a measured strain of 0.5; the stress necessary to maintain this constant strain was measured as a function of time. Determine E (10) for this material if the initial stress level was 3.5 MPa (500 psi), which dropped to 0.5 MPa (70 psi) after 30 s.arrow_forward
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