Engineering Mechanics: Dynamics
8th Edition
ISBN: 9781118885840
Author: James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher: WILEY
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Chapter 2.8, Problem 184P
To determine
The velocity of the car
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What is the difference between true stress/strain and engineering stess/strain? And how do I calculate them?
A rotating shaft of 20 mm diameter is simply supported.
The shaft is loaded with a transverse load of 10 kN as shown in
the figure. The shaft is made from AISI 1095 hot-rolled steel. The
surface has been machined. The shaft operate at
temperature T = 450 °C. Consider a reliability factor of 95%.
Determine
(a) Calculate the reaction forces R, and R₂ (2 points)
(b) Draw the shear force and bending moment diagrams
and determine the maximum bending moment and
shear force. (6 points)
200 mm
20 mm
10,000 N
-50 mm-
A
Not to scale.
(c) Determine the critical location of the shaft and the maximum effective stresses. (3 points)
(d) Calculate the safety factor against yielding. Does the shaft undergo local yielding? (2 points)
(e) Determined the endurance limit, adjusted as necessary with Marin factors. (12 points)
(f) Calculate the fatigue factor of safety based on achieving infinite life. (2 points)
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Chapter 2 Solutions
Engineering Mechanics: Dynamics
Ch. 2.2 - Prob. 1PCh. 2.2 - Problems 2/1 through 2/8 treat the motion of a...Ch. 2.2 - Problems 2/1 through 2/8 treat the motion of a...Ch. 2.2 - Problems 2/1 through 2/8 treat the motion of a...Ch. 2.2 - Problems 2/1 through 2/8 treat the motion of a...Ch. 2.2 - Problems 2/1 through 2/8 treat the motion of a...Ch. 2.2 - Problems 2/1 through 2/8 treat the motion of a...Ch. 2.2 - Problems 2/1 through 2/8 treat the motion of a...Ch. 2.2 - Prob. 9PCh. 2.2 - A particle in an experimental apparatus has a...
Ch. 2.2 - Ball 1 is launched with an initial vertical...Ch. 2.2 - Experimental data for the motion of a particle...Ch. 2.2 - In the pinewood-derby event shown, the car is...Ch. 2.2 - A ball is thrown vertically up with a velocity of...Ch. 2.2 - A car comes to a complete stop from an initial...Ch. 2.2 - The pilot of a jet transport brings the engines to...Ch. 2.2 - A game requires that two children each throw a...Ch. 2.2 - Prob. 18PCh. 2.2 - In the final stages of a moon landing, the lunar...Ch. 2.2 - A girl rolls a ball up an incline and allows it to...Ch. 2.2 - At a football tryout, a player runs a 40-yard dash...Ch. 2.2 - The main elevator A of the CN Tower in Toronto...Ch. 2.2 - A Scotch-yoke mechanism is used to convert rotary...Ch. 2.2 - A train which is traveling at 80 mi/hr applies its...Ch. 2.2 - Small steel balls fall from rest through the...Ch. 2.2 - Car A is traveling at a constant speed vA = 130...Ch. 2.2 - Prob. 27PCh. 2.2 - A particle moving along a straight line has an...Ch. 2.2 - Prob. 29PCh. 2.2 - An electric car is subjected to acceleration tests...Ch. 2.2 - A vacuum-propelled capsule for a high-speed tube...Ch. 2.2 - If the velocity v of a particle moving along a...Ch. 2.2 - The 230,000-lb space-shuttle orbiter touches down...Ch. 2.2 - Prob. 35PCh. 2.2 - The cart impacts the safety barrier with speed v0...Ch. 2.2 - Prob. 37PCh. 2.2 - Prob. 38PCh. 2.2 - Prob. 39PCh. 2.2 - Prob. 41PCh. 2.2 - A projectile is fired downward with initial speed...Ch. 2.2 - The aerodynamic resistance to motion of a car is...Ch. 2.2 - Prob. 44PCh. 2.2 - Prob. 45PCh. 2.2 - Prob. 46PCh. 2.2 - The stories of a tall building are uniformly 10...Ch. 2.2 - Prob. 48PCh. 2.2 - Prob. 49PCh. 2.2 - Prob. 50PCh. 2.2 - Prob. 51PCh. 2.2 - Car A travels at a constant speed of 65 mi/hr....Ch. 2.2 - Prob. 53PCh. 2.2 - Prob. 54PCh. 2.2 - Prob. 55PCh. 2.2 - Prob. 56PCh. 2.2 - Prob. 57PCh. 2.2 - Repeat Prob. 2/57 for the case where aerodynamic...Ch. 2.4 - At time t = 10 s, the velocity of a particle...Ch. 2.4 - Prob. 60PCh. 2.4 - At time t = 0, a particle is at rest in the x-y...Ch. 2.4 - The rectangular coordinates of a particle which...Ch. 2.4 - For a certain interval of motion the pin A is...Ch. 2.4 - With what minimum horizontal velocity u can a boy...Ch. 2.4 - Prove the well-known result that, for a given...Ch. 2.4 - A placekicker is attempting to make a 64-yard...Ch. 2.4 - Prob. 67PCh. 2.4 - Prob. 68PCh. 2.4 - If a strong wind induces a constant rightward...Ch. 2.4 - Prob. 70PCh. 2.4 - Prob. 71PCh. 2.4 - A boy tosses a ball onto the roof of a house. For...Ch. 2.4 - A small airplane flying horizontally with a speed...Ch. 2.4 - As part of a circus performance, a man is...Ch. 2.4 - Prob. 75PCh. 2.4 - Prob. 76PCh. 2.4 - Prob. 77PCh. 2.4 - Prob. 78PCh. 2.4 - If the tennis player serves the ball horizontally...Ch. 2.4 - A golfer is attempting to reach the elevated green...Ch. 2.4 - Prob. 81PCh. 2.4 - Prob. 82PCh. 2.4 - A ski jumper has the takeoff conditions shown....Ch. 2.4 - Prob. 84PCh. 2.4 - Prob. 85PCh. 2.4 - Prob. 86PCh. 2.4 - A projectile is launched from point A with the...Ch. 2.4 - A team of engineering students is designing a...Ch. 2.4 - Prob. 89PCh. 2.4 - Determine the location h of the spot toward which...Ch. 2.4 - A projectile is launched from point A with υ0 = 30...Ch. 2.4 - A projectile is fired with a velocity u at right...Ch. 2.4 - A projectile is launched from point A with an...Ch. 2.4 - A projectile is launched from point A and lands on...Ch. 2.4 - A projectile is launched with speed υ0 from point...Ch. 2.4 - A projectile is ejected into an experimental fluid...Ch. 2.5 - A test car starts from rest on a horizontal...Ch. 2.5 - If the compact disc is spinning at a constant...Ch. 2.5 - Prob. 99PCh. 2.5 - Determine the maximum speed for each car if the...Ch. 2.5 - An accelerometer C is mounted to the side of the...Ch. 2.5 - The driver of the truck has an acceleration of...Ch. 2.5 - A particle moves along the curved path shown. The...Ch. 2.5 - Prob. 104PCh. 2.5 - A sprinter practicing for the 200-m dash...Ch. 2.5 - A train enters a curved horizontal section of...Ch. 2.5 - Prob. 107PCh. 2.5 - Prob. 108PCh. 2.5 - An overhead view of part of a pinball game is...Ch. 2.5 - Prob. 110PCh. 2.5 - The speed of a car increases uniformly with time...Ch. 2.5 - A minivan starts from rest on the road whose...Ch. 2.5 - Consider the polar axis of the earth to be fixed...Ch. 2.5 - Prob. 114PCh. 2.5 - Prob. 115PCh. 2.5 - Prob. 116PCh. 2.5 - Prob. 117PCh. 2.5 - The preliminary design for a “small” space station...Ch. 2.5 - Prob. 119PCh. 2.5 - Prob. 120PCh. 2.5 - The figure shows a portion of a plate cam used in...Ch. 2.5 - Prob. 122PCh. 2.5 - During a short interval the slotted guides are...Ch. 2.5 - The particle P starts from rest at point A at time...Ch. 2.5 - Prob. 125PCh. 2.5 - Prob. 126PCh. 2.5 - In the design of a control mechanism, the vertical...Ch. 2.5 - In a handling test, a car is driven through the...Ch. 2.5 - A particle which moves with curvilinear motion has...Ch. 2.5 - A projectile is launched at time t = 0 with the...Ch. 2.6 - A car P travels along a straight road with a...Ch. 2.6 - The sprinter begins from rest at position A and...Ch. 2.6 - A drone flies over an observer O with constant...Ch. 2.6 - Motion of the sliding block P in the rotating...Ch. 2.6 - Rotation of bar OA is controlled by the lead screw...Ch. 2.6 - Prob. 136PCh. 2.6 - The boom OAB pivots about point O, while section...Ch. 2.6 - Prob. 138PCh. 2.6 - Consider the portion of an excavator shown. At the...Ch. 2.6 - Prob. 140PCh. 2.6 - Prob. 141PCh. 2.6 - A helicopter starts from rest at point A and...Ch. 2.6 - Prob. 143PCh. 2.6 - Prob. 144PCh. 2.6 - A fireworks shell P is launched upward from point...Ch. 2.6 - Prob. 146PCh. 2.6 - The rocket is fired vertically and tracked by the...Ch. 2.6 - Prob. 148PCh. 2.6 - Prob. 149PCh. 2.6 - Instruments located at O are part of the ground...Ch. 2.6 - Prob. 152PCh. 2.6 - At the bottom of a loop in the vertical (r-θ)...Ch. 2.6 - The member OA of the industrial robot telescopes...Ch. 2.6 - Prob. 155PCh. 2.6 - Prob. 156PCh. 2.6 - Prob. 157PCh. 2.6 - Prob. 158PCh. 2.6 - An earth satellite traveling in the elliptical...Ch. 2.6 - A meteor P is tracked by a radar observatory on...Ch. 2.6 - Prob. 161PCh. 2.6 - At time t = 0, the baseball player releases a ball...Ch. 2.6 - The racing airplane is beginning an inside loop in...Ch. 2.6 - A golf ball is driven with the initial conditions...Ch. 2.7 - The rectangular coordinates of a particle are...Ch. 2.7 - A projectile is launched from point O with an...Ch. 2.7 - Prob. 167PCh. 2.7 - Prob. 168PCh. 2.7 - Prob. 169PCh. 2.7 - The radar antenna at P tracks the jet aircraft A,...Ch. 2.7 - The rotating element in a mixing chamber is given...Ch. 2.7 - Prob. 172PCh. 2.7 - For the helicopter of Prob. 2/172, find the values...Ch. 2.7 - Prob. 174PCh. 2.7 - An industrial robot is being used to position a...Ch. 2.7 - Prob. 176PCh. 2.7 - Initial calculate the velocity of the spherical...Ch. 2.7 - Prob. 178PCh. 2.7 - Prob. 179PCh. 2.7 - Prob. 180PCh. 2.7 - Prob. 181PCh. 2.7 - The disk A rotates about the vertical z-axis with...Ch. 2.8 - Rapid-transit trains A and B travel on parallel...Ch. 2.8 - Prob. 184PCh. 2.8 - Prob. 185PCh. 2.8 - A helicopter approaches a rescue scene. A victim P...Ch. 2.8 - Prob. 187PCh. 2.8 - Train A travels with a constant speed vA = 120...Ch. 2.8 - The car A has a forward speed of 18 km/h and is...Ch. 2.8 - For the instant represented, car A has an...Ch. 2.8 - A drop of water falls with no initial speed from...Ch. 2.8 - Plano A travels along the indicated path with a...Ch. 2.8 - For the planes of Prob. 2/192, beginning at the...Ch. 2.8 - Prob. 194PCh. 2.8 - At the instant illustrated, car B has a speed of...Ch. 2.8 - Car A is traveling at 25 mi/hr and applies the...Ch. 2.8 - As part of an unmanned-autonomous-vehicle (UAV)...Ch. 2.8 - Prob. 199PCh. 2.8 - Prob. 200PCh. 2.8 - Prob. 201PCh. 2.8 - Prob. 202PCh. 2.8 - Prob. 203PCh. 2.8 - Prob. 204PCh. 2.8 - The aircraft A with radar detection equipment is...Ch. 2.8 - Prob. 206PCh. 2.9 - If the velocity of block A up the incline is...Ch. 2.9 - Prob. 208PCh. 2.9 - At a certain instant, the velocity of cylinder B...Ch. 2.9 - Determine the velocity of cart A if cylinder B has...Ch. 2.9 - An electric motor M is used to reel in cable and...Ch. 2.9 - Determine the relation which governs the...Ch. 2.9 - Determine an expression for the velocity vA of the...Ch. 2.9 - Neglect the diameters of the small pulleys and...Ch. 2.9 - Under the action of force P, the constant...Ch. 2.9 - Prob. 216PCh. 2.9 - Prob. 217PCh. 2.9 - Prob. 218PCh. 2.9 - Prob. 219PCh. 2.9 - Prob. 220PCh. 2.9 - Determine the vertical rise h of the load W during...Ch. 2.9 - Prob. 222PCh. 2.9 - Prob. 223PCh. 2.9 - Prob. 224PCh. 2.9 - Prob. 225PCh. 2.9 - Prob. 226PCh. 2.9 - The two sliders are connected by the light rigid...Ch. 2.9 - Prob. 228PCh. 2.10 - Prob. 229RPCh. 2.10 - Prob. 230RPCh. 2.10 - Prob. 231RPCh. 2.10 - Prob. 232RPCh. 2.10 - Prob. 233RPCh. 2.10 - Two airplanes are performing at an air show. Plane...Ch. 2.10 - Prob. 235RPCh. 2.10 - A bicyclist rides along the hard-packed sand beach...Ch. 2.10 - Prob. 237RPCh. 2.10 - Prob. 238RPCh. 2.10 - Prob. 239RPCh. 2.10 - Prob. 240RPCh. 2.10 - Prob. 241RPCh. 2.10 - Prob. 242RPCh. 2.10 - Prob. 243RPCh. 2.10 - Prob. 244RPCh. 2.10 - Prob. 245RPCh. 2.10 - Prob. 246RPCh. 2.10 - Prob. 247RPCh. 2.10 - If all frictional effects are neglected, the...Ch. 2.10 - Prob. 250RPCh. 2.10 - Prob. 251RPCh. 2.10 - A projectile is launched from point A with speed...Ch. 2.10 - Prob. 254RPCh. 2.10 - Prob. 256RP
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