Engineering Mechanics: Statics & Dynamics (14th Edition)
14th Edition
ISBN: 9780133915426
Author: Russell C. Hibbeler
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 13.7, Problem 114P
A communications satellite is in a circular orbit above the earth such that it always remains directly over a point on the earth’s surface. As a result, the period of the satellite must equal the rotation of the earth, which is approximately 24 hours. Determine the satellite’s altitude h above the earth’s surface and its orbital speed.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
Determine the speed of a satellite launched parallel to the surface of the earth so that it travels in a circular orbit 800 km from the earth’s surface.
A satellite describes an elliptic orbit about a planet of mass M . The minimum and maximum values of the distance r from the satellite to the center of the planet are, respectively, r0 and r1. Use the principles of conservation of energy and conservation of angular momentum to derive the relationwhere h is the angular momentum per unit mass of the satellite and G is the constant of gravitation.
Communication satellites are placed in a geosynchronous orbit, i.e., in a circular orbit such that they complete one full revolution about the earth in one sidereal day (23.934 h), and thus appear stationary with respect to the ground. Determine (a) the altitude of these satellites above the surface of the earth, (b) the velocity with which they describe their orbit. Give the answers in both SI and U.S. customary units.
Chapter 13 Solutions
Engineering Mechanics: Statics & Dynamics (14th Edition)
Ch. 13.4 - The 10-kg block is subjected to the forces shown....Ch. 13.4 - The 10-kg block is subjected to the forces shown....Ch. 13.4 - Determine the initial acceleration of the 10-kg...Ch. 13.4 - Prob. 4PPCh. 13.4 - Prob. 1FPCh. 13.4 - If motor M exerts a force of F = (10t2 + 100) N on...Ch. 13.4 - A spring of stiffness k = 500 N/m is mounted...Ch. 13.4 - Prob. 5FPCh. 13.4 - Block B rests upon a smooth surface. If the...Ch. 13.4 - The 6-lb particle is subjected to the action of...
Ch. 13.4 - The two boxcars A and B have a weight of 20 000 lb...Ch. 13.4 - If the coefficient of kinetic friction between the...Ch. 13.4 - If the 50-kg crate starts from rest and achieves a...Ch. 13.4 - If blocks A and B of mass 10 kg and 6 kg...Ch. 13.4 - The 10-lb block has a speed of 4 ft/s when the...Ch. 13.4 - The 10-lb block has a speed of 4 ft/s when the...Ch. 13.4 - Prob. 8PCh. 13.4 - The conveyor belt is moving at 4 m/s. If the...Ch. 13.4 - The conveyor belt is designed to transport...Ch. 13.4 - Determine the time needed to pull the cord at B...Ch. 13.4 - Prob. 12PCh. 13.4 - Block A has a weight of 8 lb and block B has a...Ch. 13.4 - The 2-Mg truck is traveling at 15 m/s when the...Ch. 13.4 - The motor lifts the 50-kg crate with an...Ch. 13.4 - Prob. 16PCh. 13.4 - Prob. 17PCh. 13.4 - Prob. 18PCh. 13.4 - Prob. 19PCh. 13.4 - Prob. 20PCh. 13.4 - The conveyor belt delivers each 12-kg crate to the...Ch. 13.4 - The 50-kg block A is released from rest. Determine...Ch. 13.4 - Prob. 23PCh. 13.4 - Prob. 24PCh. 13.4 - Prob. 25PCh. 13.4 - The 1.5 Mg sports car has a tractive force of F =...Ch. 13.4 - Prob. 27PCh. 13.4 - Prob. 28PCh. 13.4 - Prob. 29PCh. 13.4 - Prob. 30PCh. 13.4 - Prob. 31PCh. 13.4 - The tractor is used to lift the 150-kg load B with...Ch. 13.4 - Prob. 33PCh. 13.4 - Prob. 34PCh. 13.4 - Prob. 35PCh. 13.4 - Prob. 36PCh. 13.4 - The 10-kg block A rests on the 50-kg p late B in...Ch. 13.4 - The 300-kg bar B, originally at rest, is being...Ch. 13.4 - Prob. 39PCh. 13.4 - The 400-lb cylinder at A is hoisted using the...Ch. 13.4 - Prob. 41PCh. 13.4 - Block A has a mass mA and is attached to a spring...Ch. 13.4 - Prob. 43PCh. 13.4 - If the motor draws in the cable with an...Ch. 13.4 - If the force exerted on cable AB by the motor is F...Ch. 13.4 - Prob. 46PCh. 13.4 - Prob. 47PCh. 13.4 - Prob. 48PCh. 13.4 - If a horizontal force P = 12lb is applied to block...Ch. 13.4 - Prob. 50PCh. 13.4 - Prob. 51PCh. 13.5 - Set up the n, t axes and write the equations of...Ch. 13.5 - Prob. 6PPCh. 13.5 - The block rests at a distance of 2 m from the...Ch. 13.5 - Determine the maximum speed that the jeep can...Ch. 13.5 - A pilot weighs 150 lb and is traveling at a...Ch. 13.5 - The sports car is traveling along a 30 banked road...Ch. 13.5 - If the 10-kg ball has a velocity of 3m/ s when it...Ch. 13.5 - Prob. 12FPCh. 13.5 - Prob. 52PCh. 13.5 - Prob. 53PCh. 13.5 - The 2-kg block B and 15-kg cylinder A are...Ch. 13.5 - Determine the maximum constant speed at which the...Ch. 13.5 - Cartons having a mass of 5 kg are required to move...Ch. 13.5 - Prob. 57PCh. 13.5 - The 2-kg spool S fits loosely on the inclined rod...Ch. 13.5 - Prob. 59PCh. 13.5 - Prob. 60PCh. 13.5 - At the instant B = 60, the boys center of mass G...Ch. 13.5 - Prob. 62PCh. 13.5 - Prob. 63PCh. 13.5 - Prob. 64PCh. 13.5 - Prob. 65PCh. 13.5 - Prob. 66PCh. 13.5 - Prob. 67PCh. 13.5 - The 0.8-Mg car travels over the hill having the...Ch. 13.5 - The 0.8-Mg car travels over the hill having the...Ch. 13.5 - The package has a weight of 5 lb and slides down...Ch. 13.5 - The 150-lb man lies against the cushion for which...Ch. 13.5 - The 150-lb man lies against the cushion for which...Ch. 13.5 - Determine the maximum speed at which the car with...Ch. 13.5 - Determine the maximum constant speed at which the...Ch. 13.5 - The box has a mass m and slides down the smooth...Ch. 13.5 - Prob. 76PCh. 13.5 - Prob. 77PCh. 13.5 - Prob. 78PCh. 13.5 - The airplane, traveling at a constant speed of 50...Ch. 13.5 - Prob. 80PCh. 13.5 - Prob. 81PCh. 13.5 - Prob. 82PCh. 13.5 - The ball has a mass m and is attached to the cord...Ch. 13.6 - The 2-lb block is released from rest at A and...Ch. 13.6 - Determine the constant angular velocity of the...Ch. 13.6 - The 0.2-kg ball is blown through the smooth...Ch. 13.6 - The 2-Mg car is traveling along the curved road...Ch. 13.6 - The 0.2-kg pin P is constrained to move in the...Ch. 13.6 - The spring-held follower AB has a weight of 0.75...Ch. 13.6 - Determine the magnitude of the resultant force...Ch. 13.6 - The path of motion of a 5-lb particle in the...Ch. 13.6 - Rod OA rotates counterclockwise with a constant...Ch. 13.6 - The boy of mass 40 kg is sliding down the spiral...Ch. 13.6 - Using a forked rod, a 0.5-kg smooth peg P is...Ch. 13.6 - The arm is rotating at a rate of = 4 rad/s when ...Ch. 13.6 - If arm OA rotates with a constant clockwise...Ch. 13.6 - Determine the normal and frictional driving forces...Ch. 13.6 - A smooth can C, having a mass of 3 kg, is lifted...Ch. 13.6 - The spring-held follower AB has a mass of 0.5 kg...Ch. 13.6 - The spring-held follower AB has a mass of 0.5 kg...Ch. 13.6 - The particle has a mass of 0.5 kg and is confined...Ch. 13.6 - A car of a roller coaster travels along a track...Ch. 13.6 - The 0.5-lb ball is guided along the vertical...Ch. 13.6 - The ball of mass misguided along the vertical...Ch. 13.6 - Prob. 102PCh. 13.6 - The pilot of the airplane executes a vertical loop...Ch. 13.6 - The collar has a mass of 2 kg and travels along...Ch. 13.6 - The particle has a mass of 0.5 kg and is confined...Ch. 13.6 - Solve Prob. 13-105 If the arm has an angular...Ch. 13.6 - The forked rod is used to move the smooth 2-lb...Ch. 13.6 - The collar, which has a weight of 3 lb. slides...Ch. 13.6 - Prob. 109PCh. 13.6 - Prob. 110PCh. 13.7 - The pilot of an airplane executes a vertical loop...Ch. 13.7 - Prob. 113PCh. 13.7 - A communications satellite is in a circular orbit...Ch. 13.7 - Prob. 115PCh. 13.7 - Prob. 116PCh. 13.7 - Prob. 117PCh. 13.7 - Prob. 118PCh. 13.7 - Prob. 119PCh. 13.7 - Prob. 120PCh. 13.7 - The rocket is in free flight along an elliptical...Ch. 13.7 - Prob. 122PCh. 13.7 - Prob. 123PCh. 13.7 - Prob. 124PCh. 13.7 - Prob. 126PCh. 13.7 - Prob. 127PCh. 13.7 - Prob. 128PCh. 13.7 - Prob. 129PCh. 13.7 - Prob. 130PCh. 13.7 - Prob. 131PCh. 13.7 - The rocket is traveling around the earth in free...Ch. 13.7 - Prob. 3CPCh. 13.7 - Prob. 1RPCh. 13.7 - Prob. 2RPCh. 13.7 - Block B rests on a smooth surface. If the...Ch. 13.7 - Prob. 4RPCh. 13.7 - Prob. 5RPCh. 13.7 - The bottle rests at a distance of 3ft from the...Ch. 13.7 - Prob. 7RP
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Similar questions
- A 2-oz pellet shot vertically from a spring-loaded pistol on the surface of the earth rises to a height of 300 ft. The same pellet shot from the same pistol on the surface of the moon rises to a height of 1900 ft. Determine the energy dissipated by aerodynamic drag when the pellet is shot on the surface of the earth. (The acceleration of gravity on the surface of the moon is 0.165 times that on the surface of the earth.)arrow_forwardThe Skier starts from rest at point A. Determine the horizontal distance X traveled after he leaves the ramp and the landing speed. Neglect friction. The Skier starts from rest at point A. Determine the horizontal distance traveled after he leaves the ramp and the landing speed. Neglect friction. X=10.2 m, vc=24.2 ms X=7.81 m, vc=18.1 ms X=13.1 m, vc=24.9 ms X=8.96 m, vc=−21.2 msarrow_forwardA two-engine jet transport has a loaded weight of 71000 lb and a forward thrust of 9370 lb per engine during takeoff. If the transport requires 3940 ft of level runway starting from rest to become airborne at a speed of 135 knots (1 knot = 1.151 mi/hr), determine the average resistance R to motion over the runway length due to drag (air resistance) and mechanical retardation by the landing gear.arrow_forward
- A two-engine jet transport has a loaded weight of 72000 lb and a forward thrust of 9710 lb per engine during takeoff. If the transport requires 3950 ft of level runway starting from rest to become airborne at a speed of 138 knots (1 knot = 1.151 mi/hr), determine the average resistance R to motion over the runway length due to drag (air resistance) and mechanical retardation by the landing gear. R = _______lbarrow_forwardA meteor starts from rest at a very great distance from the earth. Knowing that the radius of the earth is 6370 km and neglecting all forces except the gravitational attraction of the earth, determine the speed of the meteor (a) when it enters the ionosphere at an altitude of 1000 km, (b) when it enters the stratosphere at an altitude of 50 km, (c) when it strikes the earth’s surface.arrow_forwardA spacecraft approaching the planet Saturn reaches point A with a velocity vA of magnitude 68.8 × 103 ft/s. It is to be placed in an elliptic orbit about Saturn so that it will be able to periodically examine Tethys, one of Saturn’s moons. Tethys is in a circular orbit of radius 183 × 103 mi about the center of Saturn, traveling at a speed of 37.2 × 103 ft/s. Determine (a) the decrease in speed required by the spacecraft at A to achieve the desired orbit, (b) the speed of the spacecraft when it reaches the orbit of Tethys at B.arrow_forward
- An airplane used to drop water on brushfires is flying horizontally in a straight line at 180 mi/h at an altitude of 420 ft. Determine the distance d at which the pilot should release the water so that it will hit the fire at Barrow_forwardThe ends of a chain lie in piles at A and C . When released from rest at time t= 0, the chain moves over the pulley at B, which has a negligible mass. Denoting by L the length of chain connecting the two piles and neglecting friction, determine the speed v of the chain at time t.arrow_forwardA spacecraft traveling along a parabolic path toward the planet Jupiter is expected to reach point vA of magnitude 26.9 km/s. Its engines will then be fired to slow it down, placing it into an elliptic orbit which will bring it to within 100 × 103 km of Jupiter. Determine the decrease in speed ? v at point A which will place the spacecraft into the required orbit. The mass of Jupiter is 319 times the mass of the earth.arrow_forward
- The total drag due to air friction on a jet airplane traveling at 900 km/h is 35 kN. Knowing that the exhaust velocity is 600 m/s relative to the airplane, determine the mass of air that must pass through the engine per second to maintain the speed of 900 km/h in level flight.arrow_forwardBlocks A and B shown in figure below have a mass of 10 kg and 100 kg, respectively. Determine the distance B travels when it is released from rest to the point where its speed becomes 2 m/s.arrow_forwardA jet airliner is cruising at a speed of 900 km/h with each of its three engines discharging air with a velocity of 800 m/s relative to the plane. Determine the speed of the airliner after it has lost the use of (a) one of its engines, (b) two of its engines. Assume that the drag due to air friction is proportional to the square of the speed and that the remaining engines keep operating at the same rate.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Elements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. O.Publisher:Oxford University PressMechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSONThermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
- Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEYMechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage LearningEngineering Mechanics: StaticsMechanical EngineeringISBN:9781118807330Author:James L. Meriam, L. G. Kraige, J. N. BoltonPublisher:WILEY
Elements Of Electromagnetics
Mechanical Engineering
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Oxford University Press
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:9780134319650
Author:Russell C. Hibbeler
Publisher:PEARSON
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:9781259822674
Author:Yunus A. Cengel Dr., Michael A. Boles
Publisher:McGraw-Hill Education
Control Systems Engineering
Mechanical Engineering
ISBN:9781118170519
Author:Norman S. Nise
Publisher:WILEY
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Cengage Learning
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:9781118807330
Author:James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:WILEY
Dynamics - Lesson 1: Introduction and Constant Acceleration Equations; Author: Jeff Hanson;https://www.youtube.com/watch?v=7aMiZ3b0Ieg;License: Standard YouTube License, CC-BY