ENGR.MECH.: DYNAMICS-EBOOK>I<
14th Edition
ISBN: 9781292088785
Author: HIBBELER
Publisher: INTER PEAR
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Chapter 13.7, Problem 128P
To determine
(a) The speed of the rocket at point
(b) the required speed rocket must attain at
(c) The periods of both the circular orbit and elliptical orbit.
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F14
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F2
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There are 2 forces acting on the eye bolt.
Force F1 acts on the X-Y plane has a magnitude of 704 N.
Force F2 depicted has a magnitude of 273 N, and angles
are 37° and > = 37°.
Determine the resultant force on the eye bolt.
FR
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FR magnitude: 804
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FR coordinate direction angle a:
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FR coordinate direction angle ẞ`:
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FR coordinate direction angle y:
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78.2
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Write the Navier-Stokes equations for a steady, two-dimensional flow.
Chapter 13 Solutions
ENGR.MECH.: DYNAMICS-EBOOK>I<
Ch. 13.4 - In each case, determine its velocity when t = 2 s...Ch. 13.4 - In each case, determine its velocity at s = 8 m if...Ch. 13.4 - Determine the initial acceleration of the 10-kg...Ch. 13.4 - Write the equations of motion in the x and y...Ch. 13.4 - The motor winds n the cable with a constant...Ch. 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 - The spring has a stiffness k = 200 N/m and is...Ch. 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 - The speed of the 3500-lb sports car is plotted...Ch. 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 - Cylinder B has a mass m and is hoisted using the...Ch. 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 - The 75-kg man pushes on the 150-kg crate with a...Ch. 13.4 - The coefficient of kinetic friction is k, and the...Ch. 13.4 - A 40-lb suitcase slides from rest 20 ft down the...Ch. 13.4 - Solve Prob. 13-18 if the suitcase has an initial...Ch. 13.4 - If the coefficient of kinetic friction between...Ch. 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 - If the supplied force F = 150 N, determine the...Ch. 13.4 - A 60-kg suitcase slides from rest 5 m down the...Ch. 13.4 - Solve Prob. 13-24 if the suitcase has an initial...Ch. 13.4 - The 1.5 Mg sports car has a tractive force of F =...Ch. 13.4 - The conveyor belt is moving downward at 4 m/s. If...Ch. 13.4 - At the instant shown the 100-lb block A is moving...Ch. 13.4 - Determine the velocity of the 200-lb crate when t...Ch. 13.4 - Determine the velocity of the 400-kg crate A when...Ch. 13.4 - The tractor is used to lift the 150-kg load B with...Ch. 13.4 - If the tractor travels to the right with an...Ch. 13.4 - Block A and B each have a mass m. Determine the...Ch. 13.4 - The 4-kg smooth cylinder is supported by the...Ch. 13.4 - The coefficient of static friction between the...Ch. 13.4 - If the spring is unstretched when s = 0 and the...Ch. 13.4 - Neglecting the mass of the rope and pulley, and...Ch. 13.4 - Determine the force in the cable when t = 5 s, if...Ch. 13.4 - An electron of mass m is discharged with an...Ch. 13.4 - The 400-lb cylinder at A is hoisted using the...Ch. 13.4 - What is their velocity at this instant?Ch. 13.4 - Block A has a mass mA and is attached to a spring...Ch. 13.4 - A parachutist having a mass m opens his parachute...Ch. 13.4 - Neglect the mass of the motor and pulleys.Ch. 13.4 - If the force exerted on cable AB by the motor is F...Ch. 13.4 - Blocks A and B each have a mass m. Determine the...Ch. 13.4 - Blocks A and Beach have a mass m. Determine the...Ch. 13.4 - If the board AC pushes on the block at an angle ...Ch. 13.4 - If a horizontal force P = 12lb is applied to block...Ch. 13.4 - A freight elevator, including its load, has a mass...Ch. 13.4 - The block A has a mass mA and rests on the pan B,...Ch. 13.5 - P13-5.Set up the n, t axes and write the equations...Ch. 13.5 - P13-6.Set up the n, b, t axes and write the...Ch. 13.5 - The block rests at a distance of 2 m from the...Ch. 13.5 - Prob. 8FPCh. 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 - The motorcycle has a mass of 0.5 Mg and a...Ch. 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 - Prob. 58PCh. 13.5 - Prob. 59PCh. 13.5 - Prob. 60PCh. 13.5 - At the instant B = 60, the boys center of mass G...Ch. 13.5 - A girl having a mass of 25 kg sits at the edge of...Ch. 13.5 - The pendulum bob B has a weight of 5 lb and is...Ch. 13.5 - The pendulum bob B has a mass m and is released...Ch. 13.5 - Determine the constant speed of the passengers on...Ch. 13.5 - A motorcyclist in a circus rides his motorcycle...Ch. 13.5 - The vehicle is designed to combine the feel of a...Ch. 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 - When it reaches the curved portion AB, it is...Ch. 13.5 - Determine the resultant normal and frictional...Ch. 13.5 - If he rotates about the z axis with a constant...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 - Prove that if the block is released from rest at...Ch. 13.5 - The cylindrical plug has a weight of 2 lb and it...Ch. 13.5 - When crossing an intersection, a motorcyclist...Ch. 13.5 - The airplane, traveling at a constant speed of 50...Ch. 13.5 - The 2-kg pendulum bob moves in the vertical plane...Ch. 13.5 - The 2-kg pendulum bob moves in the vertical plane...Ch. 13.5 - If it has a speed of 1.5 m/s when y = 0.2 m,...Ch. 13.5 - The ball has a mass m and is attached to the cord...Ch. 13.6 - If the attached spring has a stiffness k = 2...Ch. 13.6 - Determine the constant angular velocity of the...Ch. 13.6 - If = ( t2) rad, where t is in seconds, determine...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 - If the cam is rotating at a constant rate of 6...Ch. 13.6 - Determine the magnitude of the resultant force...Ch. 13.6 - Determine the magnitude of the unbalanced force...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 - Prob. 96PCh. 13.6 - Prob. 97PCh. 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 - Using a forked rod, a smooth cylinder P, having a...Ch. 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 - Prob. 108PCh. 13.6 - Rod OA rotates counterclockwise at a constant...Ch. 13.6 - Solve Prob. 13-109 if motion is in the vertical...Ch. 13.7 - If his speed is a constant vP = 80 ft/s, determine...Ch. 13.7 - The earth has an orbit with eccentricity 0.0167...Ch. 13.7 - Prob. 114PCh. 13.7 - Determine the speed of a satellite launched...Ch. 13.7 - Prob. 116PCh. 13.7 - Prove Keplers third law of motion. Hint: Use Eqs....Ch. 13.7 - Prob. 118PCh. 13.7 - Prob. 119PCh. 13.7 - Determine the constant speed of satellite S so...Ch. 13.7 - Prob. 121PCh. 13.7 - Prob. 122PCh. 13.7 - Prob. 123PCh. 13.7 - Prob. 124PCh. 13.7 - The rocket is traveling around the earth in free...Ch. 13.7 - Prob. 127PCh. 13.7 - Prob. 128PCh. 13.7 - Prob. 129PCh. 13.7 - Prob. 130PCh. 13.7 - The rocket is traveling around the earth in free...Ch. 13.7 - Prob. 132PCh. 13.7 - Prob. 3CPCh. 13.7 - If the trailer has a mass of 250 kg and coasts 45...Ch. 13.7 - The coefficient of kinetic friction between the...Ch. 13.7 - Block B rests on a smooth surface. If the...Ch. 13.7 - If the motor draws in the cable at a rate of v =...Ch. 13.7 - The ball has a mass of 30 kg and a speed v = 4 m/s...Ch. 13.7 - If the coefficient of static friction between the...Ch. 13.7 - If at the instant it reaches point A it has a...
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- 3. The shaft below is made of steel (G = 80GPa). It has a diameter of 25mm and is fixed and supported at the two ends of the shaft, A and D. (i) Is this a statically indeterminate problem? Why? (ii) Can you draw the torque load diagram without first resolving the reaction torques at A or D? (iii) Determine the reaction torque at A and D. (iv) Draw the torque load diagram. (v) Determine the angle of twist at section AB. B 90 N·m 0.6 m 0.75 m 0.9 m 90 N-marrow_forwardF3 Ꮎ N Ф F2 F1 There are 3 forces acting on the eye bolt. Force F1 acts on the XY plane has a magnitude of 536 lbf, and the angle of 0 = 38°. Force F2 acts on the YZ plane has a magnitude of 651 lbƒ, and the angle = 41°. Force F3 has a magnitude of 256 lb, and coordinate direction angles of α = 71°, ẞ = 115°, and γ = 33°. Determine the resultant force on the eye bolt. FR = 506 ☑ i+ +642 713 lbf FR magnitude: 1084 FR coordinate direction angle a: Ꭱ 62 × deg FR coordinate direction angle ẞ`: 49 × deg FR coordinate direction angle y: 54 deg x lbf k) ✓arrow_forward3arrow_forward
- A crate is hung by three ropes attached to a steel ring at A such that the top surface is parallel to the xy plane. Point A is located at a height of h = 121.92 cm above the top of the crate directly over the geometric center of the top surface. Use the given dimensions from the table below to perform the following calculations: a.) Determine the position vector FAD that describes rope AD. b.) Compute the unit vector cд that points from point C to point A. c.) If rope AB carries a tension force of magnitude FT = 760 →> N, determine the force vector FT that expresses how this force acts on point A. Express each vector in Cartesian components to three significant figures. 2013 Michael Swanbom Cc 10 BY NC SA ↑Z b x B A D a Values for dimensions on the figure are given in the following table. Note the figure may not be to scale. Be sure to align your cartesian unit vectors with the coordinate axes shown in the figure. Variable Value →> a 101.6 cm b 124.46 cm с 38.71 cm a. r AD = b. uca =…arrow_forward3. The shaft below is made of steel (G = 80GPa). It has a diameter of 25mm and is fixed and supported at the two ends of the shaft, A and D. (i) Is this a statically indeterminate problem? Why? (ii) Can you draw the torque load diagram without first resolving the reaction torques at A or D? (iii) Determine the reaction torque at A and D. (iv) Draw the torque load diagram. (v) Determine the angle of twist at section AB. B 90 N·m 0.6 m 0.75 m 0.9 m 90 N-marrow_forward3- A horizontal Venturi meter with d1 = 20 cm, and d₂ = 10 cm, is used to measure the flow rate of oil of sp.gr. 0.8, the discharge through venture meter is 60 lit/s. find the reading of (oil-Hg) differential Take Cd = 0.98.arrow_forward
- 4- A horizontal Venturi meter is used to measure the flow rate of water through the piping system of 20 cm I.D, where the diameter of throat in the meter is d₂ = 10 cm. The pressure at inlet is 17.658 N/cm2 gauge and the vacuum pressure of 35 cm Hg at throat. Find the discharge of water. Take Cd 0.98.arrow_forwardH.W: 1-A Pitot tube is inserted in the pipe of 30 cm I.D. The static pressure head is 10 cm Hg vacuum, and the stagnation pressure at center of the pipe is 0.981 N/cm2 gauge. Calculate the discharge of water through the pipe if u/umax = 0.85. Take Cp = 0.98.arrow_forward2- A Pitot tube is used to measure the air flow rate in a circular duct 60 cm I.D. The flowing air temperature is 65.5°C. The Pitot tube is placed at the center of the duct and the reading R on the manometer is 10.7 mm of water. A static pressure measurement obtained at the Pitot tube position is 205 mm of water above atmospheric. Take Cp = 0.98, = 2.03 x 10-5 Pa.s Calculate the velocity at the center and the average velocity. Calculate the volumetric flow rate of the flowing air in the duct.arrow_forward
- 4. The following assembly is made of an Aluminium rod (E = 500 MPa). The diameter of the rods is 25mm and 50mm. The ends of the rod are fixed at A and C. A 400 mm 1400 kN B 800 mm (i) Is this a statically indeterminate problem? Why? (ii) Can you draw the axial load diagram without first resolving the reaction forces at A and C? (iii) Determine the reaction forces at A and C. (iv) Draw the axial load diagram. (v) Determine the deformation at section BC.arrow_forwardSolve this problem and show all of the work. Show how the moments are calculated and draw a diagramarrow_forwardProblem: Textbook Problem 10.52 and 10.53. Determine the moment of inertia of the area about the x- axis and the y-axis. 3 in. 3 in. 6 in. 2 in. 4 in. xarrow_forward
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