PEARSON ETEXT ENGINEERING MECH & STATS
15th Edition
ISBN: 9780137514724
Author: HIBBELER
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 13, Problem 89P
The boy of mass 40 kg is sliding down the spiral slide at a constant speed such that his position, measured from the top of the chute, has components r = 1.5 m, θ = (0.7t) rad, and z = (–0.5t) m, where t is in seconds. Determine the components of force Fr, Fθ, and Fz which the slide exerts on him at the instant t = 2 s. Neglect the size of the boy.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
The rod of the fixed hydraulic cylinder is moving to the left with a speed of 94 mm/s and this speed is momentarily increasing at a rate
of 440 mm/s each second at the instant when SA = 355 mm. Determine the tension in the cord at that instant. The mass of slider Bis
0.77 kg, the length of the cord is 950 mm, and the effects of the radius and friction of the small pulley at A are negligible. Find results
for cases (a) negligible friction at slider B and (b) p = 0.42 at slider B. The action is in a vertical plane.
220 mm
Answers:
0.77 kg B
(a) Negligible friction: T= i
(b) Uk=0.42:
T= i
N
N
The slotted arm OA rotates about a fixed axis through O. At the instant under consideration, 0 = 34°, 0 = 43 deg/s, and 0 = 28
deg/s². Determine the magnited of the force F applied by arm OA and the magnitude of the force N applied by the sides of the slot
to the 0.6-kg slider B. Neglect all friction, and let L = 0.75 m. The motion occurs in a vertical plane.
Part 1
-L
B
Answer: ay = i
m
Slider B moves only vertically (the y-direction). Find the acceleration (positive if up, negative if down).
B
m
y
m/s²
The slotted arm OA rotates about a fixed axis through O. At the instant under consideration, 0 = 34°, 0 = 43 deg/s, and Ö = 28
deg/s². Determine the magnited of the force F applied by arm OA and the magnitude of the force N applied by the sides of the slot
to the 0.6-kg slider B. Neglect all friction, and let L = 0.75 m. The motion occurs in a vertical plane.
0
-L-
B
m
Chapter 13 Solutions
PEARSON ETEXT ENGINEERING MECH & STATS
Ch. 13 - Prob. 1FPCh. 13 - If motor M exerts a force of F = (10t2 + 100) N on...Ch. 13 - A spring of stiffness k = 500 N/m is mounted...Ch. 13 - Prob. 4FPCh. 13 - Block B rests upon a smooth surface. If the...Ch. 13 - The 6-lb particle is subjected to the action of...Ch. 13 - If blocks A and B of mass 10 kg and 6 kg...Ch. 13 - Determine the time needed to pull the cord at B...Ch. 13 - Prob. 12PCh. 13 - Block A has a weight of 8 lb and block B has a...
Ch. 13 - The 2-Mg truck is traveling at 15 m/s when the...Ch. 13 - The motor lifts the 50-kg crate with an...Ch. 13 - Prob. 18PCh. 13 - Prob. 19PCh. 13 - The 50-kg block A is released from rest. Determine...Ch. 13 - Prob. 28PCh. 13 - Prob. 29PCh. 13 - Prob. 31PCh. 13 - The tractor is used to lift the 150-kg load B with...Ch. 13 - Prob. 35PCh. 13 - Prob. 39PCh. 13 - The 400-lb cylinder at A is hoisted using the...Ch. 13 - Prob. 43PCh. 13 - Prob. 46PCh. 13 - Prob. 47PCh. 13 - Prob. 48PCh. 13 - Prob. 51PCh. 13 - The block rests at a distance of 2 m from the...Ch. 13 - Determine the maximum speed that the jeep can...Ch. 13 - A pilot weighs 150 lb and is traveling at a...Ch. 13 - The sports car is traveling along a 30 banked road...Ch. 13 - If the 10-kg ball has a velocity of 3m/ s when it...Ch. 13 - Prob. 12FPCh. 13 - Prob. 53PCh. 13 - The 2-kg block B and 15-kg cylinder A are...Ch. 13 - Determine the maximum constant speed at which the...Ch. 13 - Cartons having a mass of 5 kg are required to move...Ch. 13 - The 2-kg spool S fits loosely on the inclined rod...Ch. 13 - Prob. 59PCh. 13 - Prob. 60PCh. 13 - At the instant B = 60, the boys center of mass G...Ch. 13 - Prob. 62PCh. 13 - Prob. 66PCh. 13 - The 150-lb man lies against the cushion for which...Ch. 13 - The 150-lb man lies against the cushion for which...Ch. 13 - Prob. 76PCh. 13 - Prob. 80PCh. 13 - Prob. 81PCh. 13 - Determine the constant angular velocity of the...Ch. 13 - The 0.2-kg ball is blown through the smooth...Ch. 13 - The 2-Mg car is traveling along the curved road...Ch. 13 - The 0.2-kg pin P is constrained to move in the...Ch. 13 - Determine the magnitude of the resultant force...Ch. 13 - The path of motion of a 5-lb particle in the...Ch. 13 - The boy of mass 40 kg is sliding down the spiral...Ch. 13 - Using a forked rod, a 0.5-kg smooth peg P is...Ch. 13 - The collar has a mass of 2 kg and travels along...Ch. 13 - The forked rod is used to move the smooth 2-lb...Ch. 13 - Prob. 109PCh. 13 - Prob. 110PCh. 13 - Prob. 113PCh. 13 - A communications satellite is in a circular orbit...Ch. 13 - Prob. 115PCh. 13 - Prob. 117PCh. 13 - Prob. 118PCh. 13 - Prob. 119PCh. 13 - The rocket is in free flight along an elliptical...Ch. 13 - Prob. 123PCh. 13 - Prob. 124PCh. 13 - Prob. 129PCh. 13 - Prob. 130PCh. 13 - Prob. 131PCh. 13 - The rocket is traveling around the earth in free...Ch. 13 - Prob. 1RPCh. 13 - Prob. 2RPCh. 13 - Block B rests on a smooth surface. If the...Ch. 13 - Prob. 4RPCh. 13 - Prob. 5RPCh. 13 - The bottle rests at a distance of 3ft from the...Ch. 13 - 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
- The slotted arm OA rotates about a fixed axis through O. At the instant under consideration, 0 = 37,0 = 44 deg/s, and 0 = 23 deg/s². Determine the magnited of the force F applied by arm OA and the magnitude of the force N applied by the sides of the slot to the 0.5-kg slider B. Neglect all friction, and let L = 0.84 m. The motion occurs in a vertical plane. Answers: F= N= i i -L m N B N 79⁰arrow_forwardThe slotted arm OA rotates about a fixed axis through O. At the instant under consideration, 0 = 35%, 0 = 39 deg/s, and Ö = 15 deg/s². Determine the magnited of the force F applied by arm OA and the magnitude of the force N applied by the sides of the slot to the 0.2- kg slider B. Neglect all friction, and let L = 0.68 m. The motion occurs in a vertical plane. 0 -L B marrow_forwardThe slotted arm OA rotates about a fixed axis through O. At the instant under consideration, θθ = 34°, θ˙θ˙ = 43 deg/s, and θ¨θ¨ = 10 deg/s2. Determine the magnited of the force F applied by arm OA and the magnitude of the force N applied by the sides of the slot to the 0.3-kg slider B. Neglect all friction, and let L = 0.88 m. The motion occurs in a vertical plane.arrow_forward
- The 180-g slider has a speed v= 1.4 m/s as it passes point A of the smooth guide, which lies in a horizontal plane. Determine the magnitude R of the force which the guide exerts on the slider (a) just before it passes point A of the guide and (b) as it passes point B. Answers: (a) R₂ = (b) RB = i i -200 mm B N Narrow_forwardThe boy of mass 42 kg is sliding down the spiral slide at a constant speed such that his position, measured from the top of the chute, has components r = 1.5 m, θ=(0.7t)rad, and z=(−0.5t)m, where t is in seconds. Neglect the size of the boy Determine the r, θ, z components of force F which the slide exerts on him at the instant t = 2 s using scalar notationarrow_forwardQ2/ The 1-kg slider starts from rest at position 1 and it moves up the incline under the action of constant force P = 55 N cause the slider to have a speed v2 = 0.5 m/s at position 2. Neglect friction, and determine the spring constant k. Take the angle 0 = 18°. 200 mm 200 mm 250 mm 250 mmarrow_forward
- The tractor is used to lift the 170-kg load B with the 24-m-long rope, boom, and pulley system. The tractor travels to the right with an acceleration of 4 m/s² and has a velocity of 5 m/s at the instant SA = 5 m. When SA = 0, SB = 0. (Figure 1) Figure 12 m -SA 1 of 1 Part A Determine the tension in the rope at this instant. Express your answer to three significant figu T = Value N Submit Previous Answers Request Answ X Incorrect; Try Againarrow_forwardThe boy of mass 45 kg is sliding down the spiral slide at a constant speed such that his position, measured from the top of the chute, has components r = 1.5 m, 0 = (0.7t) rad, and z = = (−0.5t) m, where t is in seconds. Neglect the size of the boy. (Figure 1) Figure Part A Fr, Fe, F₂ = Determine the r, 0, z components of force F which the slide exerts on him at the instant t = 2 s using scalar notation. Express your answers using three significant figures separated by commas. Submit VΞΙ ΑΣΦ | 11 Request Answer r = 1.5 m vec ? 1 of 1 Narrow_forwardAm = 12 kg particle is moving along a horizontal path defined by the equations r= (4.5.t+13) m and = = (4.5-t2-3) rad, where t is in seconds. Using equations of motion in cylindrical coordinates, a. Determine the radial force component at the instant t = 5 s, Fr. b. Determine the transverve force component at the instant t = 5 s, F. c. Determine the magnitude of the resultant force at the instant t = 5 s, FR Round your final answers to 3 significant digits/figures. Fr= Fe= FR = N N Narrow_forward
- = The 2-kg pendulum bob moves in the vertical plane with a velocity of 10 m/s when 0 30°. Determine the initial tension in the cord and also at the instant the bob reaches u 60°. Neglect the size of the bob. (Use principle of work and energy to calculate Ve=60°). 4 2 m =arrow_forwardThe spring constants are k1 = 140N / m, k2 = 240N / m and the unstretched lengths of the springs are 0.3 m. If the 6 kg ring is released from rest from point A, calculate its velocity when it reaches point B. According to the given datum line, the total potential energy (Ve) at point A is A = 1116.86 J and the total elastic potential energy (Ve) at point B is B = 370.8 J. Neglect the dimensions of the bracelet. (L1 = 0.90 m, L2 = 1.80 m, h1 = 1.20 m and h2 = 2.40 m)arrow_forwardThe horizontal force P = 40-10t N (t is the time measured in seconds) is applied to the 2- kg collar that slides along the inclined rod. 2 kg- -P = (40– 10r)N At time t = 0, the position coordinate of the collar is x = 0, and its velocity is vo = 3 m/s directed down the rod. Find the time T and the speed Sof the collar when it returns to the position x = 0 for the first time. Neglect friction.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