Vector Mechanics for Engineers: Statics and Dynamics
11th Edition
ISBN: 9780073398242
Author: Ferdinand P. Beer, E. Russell Johnston Jr., David Mazurek, Phillip J. Cornwell, Brian Self
Publisher: McGraw-Hill Education
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Chapter 11.5, Problem 11.150P
A projectile is fired from point A with an initial velocity v0. (a) Show that the radius of curvature of the trajectory of the projectile reaches its minimum value at the highest point B of the trajectory. (b) Denoting by θ the angle formed by the trajectory and the horizontal at a given point C, show that the radius of curvature of the trajectory at C is ρ = ρmin/cos3θ.
Fig. P11.150
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6. If the 50-kg load A is hoisted by motor M so that the load has a constant velocity of 1.5
m/s, determine the power input to the motor, which operates at an efficiency € = 0.8.
1.5 m/s
2
7. The sports car has a mass of 2.3 Mg, and while it is traveling at 28 m/s the driver causes
it to accelerate at 5m/s². If the drag resistance on the car due to the wind is FD= 0.3v²N,
where v is the velocity in m/s, determine the power supplied to the engine at this instant.
The engine has a running efficiency of P = 0.68.
8. If the jet on the dragster supplies a constant thrust of T-20 kN, determine the power
generated by the jet as a function of time. Neglect drag and rolling resistance, and the loss
of fuel. The dragster has a mass of 1…
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Question 1
The engine of a 3500-N car is generating a constant power of 50 hp (horsepower)
while the car is traveling up the slope with a constant speed. If the engine is
operating with an efficiency of € 0.8, determine the speed of the car. Neglect
drag and rolling resistance. Use g 9.81 m/s² and 1 hp = 745.7 W.
10
го
Question 2
A man pushes on a 60-N crate with a force F. The force is always directed downward at an angle of 30°
from the horizontal, as shown in the figure. The magnitude of the force is gradually increased until the crate
begins to slide. Determine the crate's initial acceleration once it starts to move. Assume the coefficient of
static friction is μ = 0.6, the coefficient of kinetic…
state is
Derive an expression for the volume expansivity of a substance whose equation of
RT
P
=
v-b
a
v(v + b)TZ
where a and b are empirical constants.
Chapter 11 Solutions
Vector Mechanics for Engineers: Statics and Dynamics
Ch. 11.1 - A bus travels the 100 miles between A and B at 50...Ch. 11.1 - Two cars A and B race each other down a straight...Ch. 11.1 - A snowboarder starts from rest at the top of a...Ch. 11.1 - Prob. 11.2PCh. 11.1 - Prob. 11.3PCh. 11.1 - A loaded railroad car is rolling at a constant...Ch. 11.1 - Prob. 11.5PCh. 11.1 - Prob. 11.6PCh. 11.1 - A girl operates a radio-controlled model car in a...Ch. 11.1 - The motion of a particle is defined by the...
Ch. 11.1 - The brakes of a car are applied, causing it to...Ch. 11.1 - The acceleration of a particle is defined by the...Ch. 11.1 - Prob. 11.11PCh. 11.1 - Prob. 11.12PCh. 11.1 - A Scotch yoke is a mechanism that transforms the...Ch. 11.1 - For the Scotch yoke mechanism shown, the...Ch. 11.1 - Prob. 11.15PCh. 11.1 - Prob. 11.16PCh. 11.1 - Prob. 11.17PCh. 11.1 - A brass (nonmagnetic) block A and a steel magnet B...Ch. 11.1 - Based on experimental observations, the...Ch. 11.1 - A spring AB is attached to a support at A and to a...Ch. 11.1 - Prob. 11.21PCh. 11.1 - Prob. 11.22PCh. 11.1 - A ball is dropped from a boat so that it strikes...Ch. 11.1 - The acceleration of a particle is defined by the...Ch. 11.1 - The acceleration of a particle is defined by the...Ch. 11.1 - A human-powered vehicle (HPV) team wants to model...Ch. 11.1 - Prob. 11.27PCh. 11.1 - Based on observations, the speed of a jogger can...Ch. 11.1 - The acceleration due to gravity at an altitude y...Ch. 11.1 - The acceleration due to gravity of a particle...Ch. 11.1 - The velocity of a particle is v = v0[1 sin(t/T)]....Ch. 11.1 - An eccentric circular cam, which serves a similar...Ch. 11.2 - 11.33 An airplane begins its take-off run at A...Ch. 11.2 - Prob. 11.34PCh. 11.2 - Steep safety ramps are built beside mountain...Ch. 11.2 - A group of students launches a model rocket in the...Ch. 11.2 - A small package is released from rest at A and...Ch. 11.2 - A sprinter in a 100-m race accelerates uniformly...Ch. 11.2 - Automobile A starts from O and accelerates at the...Ch. 11.2 - In a boat race, boat A is leading boat B by 50 m...Ch. 11.2 - As relay runner A enters the 65-ft-long exchange...Ch. 11.2 - Automobiles A and B are traveling in adjacent...Ch. 11.2 - Two automobiles A and B are approaching each other...Ch. 11.2 - An elevator is moving upward at a constant speed...Ch. 11.2 - Prob. 11.45PCh. 11.2 - Prob. 11.46PCh. 11.2 - The elevator E shown in the figure moves downward...Ch. 11.2 - The elevator E shown starts from rest and moves...Ch. 11.2 - An athlete pulls handle A to the left with a...Ch. 11.2 - An athlete pulls handle A to the left with a...Ch. 11.2 - Prob. 11.51PCh. 11.2 - Prob. 11.52PCh. 11.2 - A farmer lifts his hay bales into the top loft of...Ch. 11.2 - The motor M reels in the cable at a constant rate...Ch. 11.2 - Collar A starts from rest at t = 0 and moves...Ch. 11.2 - Prob. 11.56PCh. 11.2 - Block B starts from rest, block A moves with a...Ch. 11.2 - Prob. 11.58PCh. 11.2 - The system shown starts from rest, and each...Ch. 11.2 - Prob. 11.60PCh. 11.3 - A particle moves in a straight line with a...Ch. 11.3 - Prob. 11.62PCh. 11.3 - A particle moves in a straight line with the...Ch. 11.3 - A particle moves in a straight line with the...Ch. 11.3 - A particle moves in a straight line with the...Ch. 11.3 - Prob. 11.66PCh. 11.3 - A commuter train traveling at 40 mi/h is 3 mi from...Ch. 11.3 - Prob. 11.68PCh. 11.3 - In a water-tank test involving the launching of a...Ch. 11.3 - The acceleration record shown was obtained for a...Ch. 11.3 - Prob. 11.71PCh. 11.3 - Prob. 11.72PCh. 11.3 - Prob. 11.73PCh. 11.3 - Car A is traveling on a highway at a constant...Ch. 11.3 - Prob. 11.75PCh. 11.3 - Prob. 11.76PCh. 11.3 - Prob. 11.77PCh. 11.3 - Prob. 11.78PCh. 11.3 - An airport shuttle train travels between two...Ch. 11.3 - Prob. 11.80PCh. 11.3 - Prob. 11.81PCh. 11.3 - The acceleration record shown was obtained during...Ch. 11.3 - Prob. 11.83PCh. 11.3 - Prob. 11.84PCh. 11.3 - An elevator starts from rest and rises 40 m to its...Ch. 11.3 - Two road rally checkpoints A and B are located on...Ch. 11.3 - As shown in the figure, from t = 0 to t = 4 s, the...Ch. 11.3 - Prob. 11.88PCh. 11.4 - Two model rockets are fired simultaneously from a...Ch. 11.4 - Ball A is thrown straight up. Which of the...Ch. 11.4 - Ball A is thrown straight up with an initial speed...Ch. 11.4 - Two cars are approaching an intersection at...Ch. 11.4 - Prob. 11.7CQCh. 11.4 - A ball is thrown so that the motion is defined by...Ch. 11.4 - The motion of a vibrating particle is defined by...Ch. 11.4 - Prob. 11.91PCh. 11.4 - The motion of a particle is defined by the...Ch. 11.4 - Prob. 11.93PCh. 11.4 - A girl operates a radio-controlled model car in a...Ch. 11.4 - The three-dimensional motion of a particle is...Ch. 11.4 - The three-dimensional motion of a particle is...Ch. 11.4 - Prob. 11.97PCh. 11.4 - A ski jumper starts with a horizontal take-off...Ch. 11.4 - A baseball pitching machine throws baseballs with...Ch. 11.4 - While delivering newspapers, a girl throws a...Ch. 11.4 - Prob. 11.101PCh. 11.4 - In slow pitch softball, the underhand pitch must...Ch. 11.4 - A volleyball player serves the ball with an...Ch. 11.4 - Prob. 11.104PCh. 11.4 - A homeowner uses a snowblower to clear his...Ch. 11.4 - At halftime of a football game, souvenir balls are...Ch. 11.4 - A basketball player shoots when she is 16 ft from...Ch. 11.4 - A tennis player serves the ball at a height h =...Ch. 11.4 - Prob. 11.109PCh. 11.4 - While holding one of its ends, a worker lobs a...Ch. 11.4 - Prob. 11.111PCh. 11.4 - Prob. 11.112PCh. 11.4 - Prob. 11.113PCh. 11.4 - A worker uses high-pressure water to clean the...Ch. 11.4 - An oscillating garden sprinkler which discharges...Ch. 11.4 - A nozzle at A discharges water with an initial...Ch. 11.4 - The velocities of skiers A and B are as shown....Ch. 11.4 - The three blocks shown move with constant...Ch. 11.4 - Three seconds after automobile B passes through...Ch. 11.4 - Prob. 11.120PCh. 11.4 - Airplanes A and B are flying at the same altitude...Ch. 11.4 - Prob. 11.122PCh. 11.4 - Prob. 11.123PCh. 11.4 - Prob. 11.124PCh. 11.4 - A boat is moving to the right with a constant...Ch. 11.4 - Prob. 11.126PCh. 11.4 - Prob. 11.127PCh. 11.4 - Conveyor belt A, which forms a 20 angle with the...Ch. 11.4 - During a rainstorm, the paths of the raindrops...Ch. 11.4 - Prob. 11.130PCh. 11.4 - Prob. 11.131PCh. 11.4 - As part of a department store display, a model...Ch. 11.5 - The Ferris wheel is rotating with a constant...Ch. 11.5 - Prob. 11.9CQCh. 11.5 - A child walks across merry-go-round A with a...Ch. 11.5 - Prob. 11.133PCh. 11.5 - Determine the maximum speed that the cars of the...Ch. 11.5 - Prob. 11.135PCh. 11.5 - The diameter of the eye of a stationary hurricane...Ch. 11.5 - The peripheral speed of the tooth of a...Ch. 11.5 - A robot arm moves so that P travels in a circle...Ch. 11.5 - A monorail train starts from rest on a curve of...Ch. 11.5 - Prob. 11.140PCh. 11.5 - Race car A is traveling on a straight portion of...Ch. 11.5 - At a given instant in an airplane race, airplane A...Ch. 11.5 - A race car enters the circular portion of a track...Ch. 11.5 - Prob. 11.144PCh. 11.5 - A golfer hits a golf ball from point A with an...Ch. 11.5 - Prob. 11.146PCh. 11.5 - Coal is discharged from the tailgate A of a dump...Ch. 11.5 - From measurements of a photograph, it has been...Ch. 11.5 - A child throws a ball from point A with an initial...Ch. 11.5 - A projectile is fired from point A with an initial...Ch. 11.5 - Prob. 11.151PCh. 11.5 - Prob. 11.152PCh. 11.5 - 11.153 and 11.154 A satellite will travel...Ch. 11.5 - Prob. 11.154PCh. 11.5 - Prob. 11.155PCh. 11.5 - Prob. 11.156PCh. 11.5 - Prob. 11.157PCh. 11.5 - A satellite will travel indefinitely in a circular...Ch. 11.5 - Knowing that the radius of the earth is 6370 km,...Ch. 11.5 - Satellites A and B are traveling in the same plane...Ch. 11.5 - 11.162 The path of a particle P is a limaçon. The...Ch. 11.5 - During a parasailing ride, the boat is traveling...Ch. 11.5 - Some parasailing systems use a winch to pull the...Ch. 11.5 - As rod OA rotates, pin P moves along the parabola...Ch. 11.5 - The pin at B is free to slide along the circular...Ch. 11.5 - Prob. 11.167PCh. 11.5 - After taking off, a helicopter climbs in a...Ch. 11.5 - At the bottom of a loop in the vertical plane, an...Ch. 11.5 - Prob. 11.170PCh. 11.5 - Prob. 11.171PCh. 11.5 - Prob. 11.172PCh. 11.5 - 11.173 and 11.174 A particle moves along the...Ch. 11.5 - Prob. 11.174PCh. 11.5 - Prob. 11.175PCh. 11.5 - Prob. 11.176PCh. 11.5 - Prob. 11.177PCh. 11.5 - Prob. 11.178PCh. 11.5 - Prob. 11.179PCh. 11.5 - For the conic helix of Prob. 11.95, determine the...Ch. 11 - Prob. 11.182RPCh. 11 - A drag racing car starts from rest and moves down...Ch. 11 - Prob. 11.184RPCh. 11 - The velocities of commuter trains A and B are as...Ch. 11 - Knowing that slider block A starts from rest and...Ch. 11 - Prob. 11.187RPCh. 11 - A golfer hits a ball with an initial velocity of...Ch. 11 - As the truck shown begins to back up with a...Ch. 11 - A velodrome is a specially designed track used in...Ch. 11 - Sand is discharged at A from a conveyor belt and...Ch. 11 - The end point B of a boom is originally 5 m from...Ch. 11 - A telemetry system is used to quantify kinematic...
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