Vector Mechanics For Engineers
12th Edition
ISBN: 9781259977305
Author: BEER, Ferdinand P. (ferdinand Pierre), Johnston, E. Russell (elwood Russell), Cornwell, Phillip J., SELF, Brian P.
Publisher: Mcgraw-hill Education,
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Chapter 11.5, Problem 11.158P
A satellite will travel indefinitely in a circular orbit around the earth if the normal component of its acceleration is equal to
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A satellite will travel indefinitely in a circular orbit around a planet if the normal component of the acceleration of the satellite is equal to g(R/r)2, where g is the acceleration of gravity at the surface of the planet, R is the radius of the planet, and r is the distance from the center of the planet to the satellite. Knowing that the diameter of the sun is 1.39 Gm and that the acceleration of gravity at its surface is 274 m/s2, determine the radius of the orbit of the indicated planet around the sun assuming that the orbit is circular.
A satellite will travel indefinitely in a circular orbit around a planet if the normal component of the acceleration of the satellite is equal to g(R/r)2, where g is the acceleration of gravity at the surface of the planet, R is the radius of the planet, and r is the distance from the center of the planet to the satellite. Knowing that the diameter of the sun is 1.39 Gm and that the acceleration of gravity at its surface is 274 m/s2, determine the radius of the orbit of the indicated planet around the sun assuming that the orbit is circular.
At a certain point in the reentry of the space shuttle into the earth's atmosphere, the total acceleration of the shuttle may be
represented by two components. One component is the gravitational acceleration g = 9.56 m/s2 at this altitude. The second
component equals 11.25 m/s² due to atmospheric resistance and is directed opposite to the velocity. The shuttle is at an altitude of
47.9 km and has reduced its orbital velocity of 28300 km/h to 14750 km/h in the direction = 1.88°. For this instant, calculate the
radius of curvature of the path and the rate i at which the speed is changing.
Answers:
p=
i =
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Chapter 11 Solutions
Vector Mechanics For Engineers
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 - The motion of a particle is defined by the...Ch. 11.1 - The vertical motion of mass A is defined by the...Ch. 11.1 - A loaded railroad car is rolling at a constant...Ch. 11.1 - A group of hikers uses a GPS while doing a 40-mile...Ch. 11.1 - The motion of a particle is defined by the...Ch. 11.1 - A girl operates a radio-controlled model ear 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 - The acceleration of a particle is defined by the...Ch. 11.1 - Many car companies are performing research on...Ch. 11.1 - A Scotch yoke is a mechanism that transforms the...Ch. 11.1 - For the Scotch yoke mechanism shown, the...Ch. 11.1 - A piece of electronic equipment that is surrounded...Ch. 11.1 - A projectile enters a resisting medium at x=0 with...Ch. 11.1 - Point A oscillates with an acceleration...Ch. 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 - The acceleration of a particle is defined by the...Ch. 11.1 - Starting from x=0 with no initial velocity, a...Ch. 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 - Experimental data indicate that in a region...Ch. 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[1sin(t/T)] ....Ch. 11.1 - An eccentric circular cam, which serves a similar...Ch. 11.2 - An airplane begins its take-off run at A with zero...Ch. 11.2 - A minivan is tested for acceleration and braking....Ch. 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 - Two rockets are launched at a fireworks display....Ch. 11.2 - Car A is parked along the northbound lane of a...Ch. 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 - In the position shown, collar B moves to the left...Ch. 11.2 - Collar A starts from rest and moves to the right...Ch. 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 upward...Ch. 11.2 - Collars A and B start from rest, and collar A...Ch. 11.2 - Block B starts from rest, block A moves with a...Ch. 11.2 - Block B moves downward with a constant velocity of...Ch. 11.2 - The system shown starts from rest, and each...Ch. 11.2 - The system shown starts from rest, and the length...Ch. 11.3 - A particle moves in a straight line with a...Ch. 11.3 - A particle moves in a straight line with a...Ch. 11.3 - A particle moves in a straight line with the...Ch. 11.3 - Prob. 11.64PCh. 11.3 - Prob. 11.65PCh. 11.3 - A parachutist is in free fall at a rate of 200...Ch. 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 - Prob. 11.70PCh. 11.3 - Prob. 11.71PCh. 11.3 - A car and a truck are both traveling at the...Ch. 11.3 - Solve Prob. 11.72, assuming that the driver of the...Ch. 11.3 - Car A is traveling on a highway at a constant...Ch. 11.3 - An elevator starts from rest and moves upward,...Ch. 11.3 - Car A is traveling at 40 mi/h when it enters a 30...Ch. 11.3 - An accelerometer record for the motion of a given...Ch. 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 - A training airplane has a velocity of 126 ft/s...Ch. 11.3 - Shown in the figure is a portion of the...Ch. 11.3 - An elevator starts from rest and rises 40 m to its...Ch. 11.3 - Prob. 11.86PCh. 11.3 - Prob. 11.87PCh. 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 - Blocks A and B are released from rest in the...Ch. 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 - The motion of a particle is defined by the...Ch. 11.4 - The motion of a particle is defined by the...Ch. 11.4 - Engineers are examining how shock absorber designs...Ch. 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 - Prob. 11.96PCh. 11.4 - An airplane used to drop water on brushfires is...Ch. 11.4 - A ski jumper starts with a horizontal take-off...Ch. 11.4 - A baseball pitching machine "throws" baseballs...Ch. 11.4 - While delivering newspapers, a girl throws a...Ch. 11.4 - A pump is located near the edge of the horizontal...Ch. 11.4 - In slow pitch softball, the underhand pitch must...Ch. 11.4 - A volleyball player serves the ball with an...Ch. 11.4 - A golfer hits a golf ball with an initial velocity...Ch. 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=2.5...Ch. 11.4 - The nozzle at A discharges cooling water with an...Ch. 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 - Prob. 11.114PCh. 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 - Shore-based radar indicates that a ferry leaves...Ch. 11.4 - Airplanes A and B are flying at the same altitude...Ch. 11.4 - Prob. 11.122PCh. 11.4 - Knowing that at the instant shown block B has a...Ch. 11.4 - Knowing that at the instant shown block A has a...Ch. 11.4 - A boat is moving to the right with a constant...Ch. 11.4 - The assembly of rod A and wedge B starts from rest...Ch. 11.4 - Coal discharged from a dump truck with an initial...Ch. 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 - Instruments in airplane A indicate that; with...Ch. 11.4 - When a small boat travels north at 15 km/h, a flag...Ch. 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 - A race car travels around the track shown at a...Ch. 11.5 - A child walks across merry go-round A with a...Ch. 11.5 - Determine the normal component of acceleration of...Ch. 11.5 - Prob. 11.134PCh. 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 - A motorist starts from rest at point A on a...Ch. 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 - Pin A, which is attached to link AB, is...Ch. 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 - Prob. 11.150PCh. 11.5 - Prob. 11.151PCh. 11.5 - Prob. 11.152PCh. 11.5 - Prob. 11.153PCh. 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 - Prob. 11.159PCh. 11.5 - Satellites A and B are traveling in the same plane...Ch. 11.5 - Prob. 11.161PCh. 11.5 - Prob. 11.162PCh. 11.5 - During a parasailing ride, the boat is traveling...Ch. 11.5 - Prob. 11.164PCh. 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 - To study the performance of a racecar a high-speed...Ch. 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 - An airplane passes over a radar tracking station...Ch. 11.5 - Prob. 11.171PCh. 11.5 - Prob. 11.172PCh. 11.5 - Prob. 11.173PCh. 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 - Prob. 11.180PCh. 11.5 - Prob. 11.181PCh. 11 - Students are testing their new drone to see if it...Ch. 11 - A drag racing car starts from rest and moves the...Ch. 11 - A driver is traveling at a speed of 72 km/h in car...Ch. 11 - Prob. 11.185RPCh. 11 - Prob. 11.186RPCh. 11 - Prob. 11.187RPCh. 11 - Prob. 11.188RPCh. 11 - As the truck shown begins to back up with a...Ch. 11 - A velodrome is a specially designed track used in...Ch. 11 - Prob. 11.191RPCh. 11 - Prob. 11.192RPCh. 11 - A telemetry system is used to quantify kinematic...
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