Engineering Mechanics: Dynamics
8th Edition
ISBN: 9781118885840
Author: James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher: WILEY
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Chapter 2.2, Problem 18P
To determine
The change in acceleration at 4s and the displacement of the particle during that interval.
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Calculate the y coordinate of the of the centroid of the shape below. Take A= 18.5
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In MATLAB write out a program to integrate the equations of motion of a rigid body. The inertia matrix is given by I = [125 0 0; 0 100 0; 0 0 75] which is a diagonal, where diag operator provides a matrix with given elements placed on its diagonal. Consider three cases where the body rotates 1 rad/sec about each principal axis. Integrate the resulting motion and study the angular rates and the resulting attitude (use any attitude coordinates). For each principal axis case, assume first that a pure spin about the principal axis is performed, and then repeat the simulation where a small 0.1 rad/sec motion is present about another principal axis. Discuss the stability of each motion. The code should produce a total of 6 simulations results when it is ran.
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A strain gauge rosette that is attached to the surface of a stressed component
C). If the strain gauge rosette is of the D°
gives 3 readings (a = A, b = B, &c =
type (indicating the angle between each of the gauges), construct a Mohr's Strain
Circle overleaf. You should assume that gauge A is aligned along the x-axis.
Using the Mohr's Strain Circle calculate the:
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(i) principal strains (1, 2)?
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[5 marks]
(ii) principal angles (1, 2)?
You should measure these anticlockwise from the y-axis.
20
[5 marks]
(iii) maximum shear strain in the plane (ymax)?
Ex = Ea
Ey = εc
[5 marks]
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Ea = A = -210
2
B=E₁ = -50
E₁ = C = 340
D = 45°
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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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