Engineering Mechanics: Statics & Dynamics (14th Edition)
14th Edition
ISBN: 9780133915426
Author: Russell C. Hibbeler
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Textbook Question
Chapter 13.6, Problem 84P
The 2-lb block is released from rest at A and slides down along the smooth cylindrical surface. If the attached spring has a stiffness k = 2 lb/ft, determine its unstretched length so that it does not allow the block to leave the surface until θ = 60°.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
y
- y = 4.5 – x
h ft
k lb/ft
B
I ft
The 8-lb collar has a speed of 9 ft. s at A.
The attached spring has an unstretched length of 2 ft and a stiffness of
k = 15lb. ft-1.
If the collar moves over the smooth rod, determine its speed when it
reaches point B.
The height of A is h = 6 ft and B is at l = 4ft from the vertical of A
www
The smooth block B, having a mass of 1 kg, is attached to the vertex of the right circular
cone using a light cord. If the block has a speed of 0.6 m/s around the cone, determine the tension
in the cord and the reaction which the cone exerts on the block. Neglect the size of the block.
200 mm
400 mm
300 mm
5. The spring has a stiffness k = 200 N/m and is unstretched when the 25-kg block is at A. Determine the
acceleration of the block when s = 0.4 m. The contact surface between the block and the plane is smooth.
0.3 m
F = 100 N
k = 200 N/m
F = 100 N
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
- The spring-held follower AB has a weight of 0.75 lb and moves back and forth as its end rolls on the contoured surface of the cam, where r=0.2 ft and z = (0.1sine) ft. If the cam is rotating at a constant rate of 6 rad/s, determine the force at the end A of the follower when e=90°. In this position the spring is compressed 0.4 ft. Neglect friction at the bearing C. z = 0.1 sin 20 0.2 ft e = 6 rad/s k = 12 lb/ft Fs FA- Tarrow_forwardThe pipe has a mass M = 460 kg and is held in place on the truck bed using the two boards A and B. Determine the acceleration of the truck so that the pipe begins to lose contact at A and the bed of the truck and starts to pivot about B. Assume board B will not slip on the bed of the truck, and the pipe is smooth. Also, what force does board B exert on the pipe during the acceleration? 0.4 m -0.5 m 0.3 marrow_forwardThe smooth surface of the vertical cam is defined in part by the curve r =(0.2 cos θ + 0.3) m. The forked rod is rotating with an angular acceleration of 2rad/s^2, and when θ = 45° the angular velocity is 6 rad/s. Determine the force the camand the rod exert on the 2-kg roller at this instant. The attached spring has a stiffnessk = 100 N/m and an unstretched length of 0.1 m.arrow_forward
- -y = 45 - hft k lblft www Ift The 5-lb collar has a speed of 3 ft.s1 at A. The attached spring has an unstretched length of 2- ft and a stiffness of k=17lb.ft1. If the collar moves over the smooth rod, determine its speed when it reaches point B. The height of A is h=9-ft and B is at l=4-ft from the vertical of Aarrow_forwardA block initially at rest at the top slides down along the smooth cylindrical surface. If the attached spring has a stiffness k = 2 lb/ft, determine its unstretched length so that it does not allow the 6 lb block to leave the surface until 8 = 60° www 2 ft www/www. N k = 2 lb/ftarrow_forwardIf the hydraulic cylinder BE exerts a vertical force of F = 1.5 kNon the platform, determine the force developed in links AB and CD at the instant Ѳ= 90°. The platform is at rest when Ѳ= 45°. Neglect the mass of the links and the platform. The 200-kg crate does not slip on the platform.arrow_forward
- 2. A spring of stiffness k = 500 N/m is mounted against the 10-kg block. If the block is subjected to the force of F = 500 N, determine its velocity at s = 0.45 m. When s = 0, the block is at rest and the spring is uncompressed. The contact surface is smooth. F = 500 N k = 500 N/marrow_forwardThe steel ingot has a mass of 1940 kg. It travels along the conveyor at a speed v= 0,2 m/s when it collides with the "nested" spring assembly. If the stiffness of the outer spring is Ka= 5 kN/m, determine the required stiffness Kb of the inner spring so that the motion of the ingot is stopped at the moment the front, C, of the ingot is 0.3 m from the wall. (Answer in kN/m) 0.5 m -0.45 m kB k Barrow_forwardThe block of weight 8 Ib is released from rest at A and slides down the smooth circular surface AB. It then continues to slide along the horizontal rough surface until it strikes the spring. Determine how far (ft) it compresses the spring before stopping. (uk = 0.2, a= 4 ft,6 = 90 deg, b = 2 ft, k = 40 lb/ ft)arrow_forward
- The 150-lb man lies against the cushion for which the coefficient of static friction is Hiy = 0.5. If he rotates about the z axis with a constant speed v = 30 ft/s, determine the smallest angle 0 of the cushion at which he will begin to slip off. -8 ftarrow_forwardThe 7-kg smooth cylinder is supported by the spring having a stiffness of kab = 120 N/m. Determine the velocity of the cylinder when it moves downward s = 0.5 m from its equilibrium position, which is caused by the application of tthe force F =60 N.arrow_forwardThe weight of the spring held follower AB is 0.381 kg and moves back and forth as its end rolls on the contoured surface of the cam, where r = 0.2 ft and z = (0.1sin20) ft. If the cam is rotating at a constant rate of 6 rad/s, determine the force, in Ib, at the end A of the follower where e = 45°. In this position, the spring is compressed 0.4 ft. Neglect friction at the bearing C. Round your answer to 3 decimal places. z = 0.1 sin 20 0.2 ft e = 6 rad/s A k = 12 lb/ftarrow_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
Mechanical SPRING DESIGN Strategy and Restrictions in Under 15 Minutes!; Author: Less Boring Lectures;https://www.youtube.com/watch?v=dsWQrzfQt3s;License: Standard Youtube License