VECTOR MECHANIC
12th Edition
ISBN: 9781264095032
Author: BEER
Publisher: MCGRAW-HILL HIGHER EDUCATION
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 12.1, Problem 12.36P
Knowing that the swings of an amusement park ride form an angle of 40° with respect to the horizontal, determine (a) the speed of rotation, (b) the force in the cable for a swing and person weighing 250 lb.
Fig. P12.36
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
A thin circular rod is supported in a vertical plane by a bracket at A. Attached to the bracket and loosely wound around the rod is a spring of constant k= 3 lb/ft and undeformed length equal to the arc of circle AB. An 8-oz collar C , not attached to the spring, can slide without friction along the rod. Knowing that the collar is released from rest at an angle 0 with the vertical, determine (a) the smallest value of 0 for which the collar will pass through D and reach point A, (b) the velocity of the collar as it reaches point A.
9. A thin circular rod is supported in a vertical plane by a bracket at A. Attached to the
bracket and loosely wound around the rod is a spring of constant k =3 lb/ft and undeformed
length equal to the arc of circle AB. An 8-oz collar C, not attached to the spring, can slide
without friction along the rod. Knowing that the collar is released from rest at an angle 0
with the vertical, determine (a) the smallest value of q for which the collar will pass through
Dand reach Point A, (b) the velocity of the collar as it reaches Point A.
|D
12 in.
A
| B
op
A slowly moving conveyor belt passes through a small opening in a wall which is high enough to accommodate a single package, but a reckless worker stacks two packages on the belt. The one at the bottom, package 1 which has mass m1m1, continues, without slipping against the belt, through the opening. (The belt continues without slowing.) The one on the the top, package 2 with mass m2m2, presses firmly against the wall and slips across the lower package. The same coefficients of friction, μsμs and μkμk, apply between the pair of packages and between the package and the belt.
Weights, if required, will be denoted with the corresponding subscript of the package as F⃗ g,iF→g,i, for i=1,2i=1,2.
The normal force exerted by object aa on object bb, if required, will be denoted as F⃗ n,a→bF→n,a→b for a,b∈{1,2,belt,wall}a,b∈{1,2,belt,wall}, but a≠ba≠b.
The force of kinetic friction exerted by object aa on object bb, if required, will be denoted as F⃗ k,a→bF→k,a→b for…
Chapter 12 Solutions
VECTOR MECHANIC
Ch. 12.1 - A 1000-lb boulder B is resting on a 200-lb...Ch. 12.1 - Marble A is placed in a hollow tube, and the tube...Ch. 12.1 - The two systems shown start from rest. On the...Ch. 12.1 - Blocks A and B are released from rest in the...Ch. 12.1 - People sit on a Ferris wheel at points A, B, C,...Ch. 12.1 - Crate A is gently placed with zero initial...Ch. 12.1 - Two blocks weighing WA and WB are at rest on a...Ch. 12.1 - Objects A, B, and C have masses mA, mB, and mC,...Ch. 12.1 - Prob. 12.4FBPCh. 12.1 - Blocks A and B have masses mA and mB,...
Ch. 12.1 - A pilot of mass m flies a jet in a half-vertical...Ch. 12.1 - Wires AC and BC are attached to a sphere that...Ch. 12.1 - A collar of mass m is attached to a spring and...Ch. 12.1 - Prob. 12.9FBPCh. 12.1 - At the instant shown, the length of the boom AB is...Ch. 12.1 - Disk A rotates in a horizontal plane about a...Ch. 12.1 - Pin B has a mass m and slides along the slot in...Ch. 12.1 - The acceleration due to gravity on Mars is 3.75...Ch. 12.1 - The value of g at any latitude may be obtained...Ch. 12.1 - A Global Positioning System (GPS) satellite is in...Ch. 12.1 - Prob. 12.4PCh. 12.1 - A loading car is at rest on a track forming an...Ch. 12.1 - A 0.5-oz model rocket is launched vertically from...Ch. 12.1 - Determine the maximum theoretical speed that may...Ch. 12.1 - A tugboat pulls a small barge through a harbor....Ch. 12.1 - Prob. 12.9PCh. 12.1 - A 4-kg package is released from rest at point A...Ch. 12.1 - The coefficients of friction between the load and...Ch. 12.1 - A light train made up of two cars is traveling at...Ch. 12.1 - The two blocks shown are originally at rest....Ch. 12.1 - The two blocks shown are originally at rest....Ch. 12.1 - Prob. 12.15PCh. 12.1 - Prob. 12.16PCh. 12.1 - A 5000-lb truck is being used to lift a 1000-lb...Ch. 12.1 - Block A has a mass of 40 kg, and block B has a...Ch. 12.1 - Block A has a mass of 40 kg, and block B has a...Ch. 12.1 - The flat-bed trailer carries two 1500-kg beams...Ch. 12.1 - Prob. 12.21PCh. 12.1 - To unload a bound stack of plywood from a truck,...Ch. 12.1 - To transport a series of bundles of shingles A to...Ch. 12.1 - An airplane has a mass of 25 Mg and its engines...Ch. 12.1 - Determine the maximum theoretical speed that a...Ch. 12.1 - A constant force P is applied to a piston and rod...Ch. 12.1 - A spring AB of constant k is attached to a support...Ch. 12.1 - Block A has a mass of 10 kg, and blocks B and C...Ch. 12.1 - Prob. 12.29PCh. 12.1 - Prob. 12.30PCh. 12.1 - A 10-lb block B rests as shown on a 20-lb bracket...Ch. 12.1 - Knowing that k = 0.30, determine the acceleration...Ch. 12.1 - Knowing that k = 0.30, determine the acceleration...Ch. 12.1 - The 30-lb block B is supported by the 55-lb block...Ch. 12.1 - Block B of mass 10 kg rests as shown on the upper...Ch. 12.1 - Knowing that the swings of an amusement park ride...Ch. 12.1 - During a hammer throwers practice swings, the...Ch. 12.1 - Human centrifuges are often used to simulate...Ch. 12.1 - A single wire ACB passes through a ring at C...Ch. 12.1 - Prob. 12.41PCh. 12.1 - The 0.5-kg flyballs of a centrifugal governor...Ch. 12.1 - As part of an outdoor display, a 5-kg model C of...Ch. 12.1 - Prob. 12.44PCh. 12.1 - During a high-speed chase, a 2400-lb sports car...Ch. 12.1 - An airline pilot climbs to a new flight level...Ch. 12.1 - The roller-coaster track shown is contained in a...Ch. 12.1 - A spherical-cap governor is fixed to a vertical...Ch. 12.1 - A series of small packages, each with a mass of...Ch. 12.1 - A 55-kg pilot flies a jet trainer in a half...Ch. 12.1 - Prob. 12.51PCh. 12.1 - A curve in a speed track has a radius of 1000 ft...Ch. 12.1 - Tilting trains, such as the Acela Express that...Ch. 12.1 - Prob. 12.54PCh. 12.1 - A 3-kg block is at rest relative to a parabolic...Ch. 12.1 - Prob. 12.56PCh. 12.1 - A turntable A is built into a stage for use in a...Ch. 12.1 - The carnival ride from Prob. 12.51 is modified so...Ch. 12.1 - Prob. 12.59PCh. 12.1 - A small 8-oz collar D can slide on portion AB of a...Ch. 12.1 - A small block B fits inside a slot cut in arm OA...Ch. 12.1 - The parallel-link mechanism ABCD is used to...Ch. 12.1 - Prob. 12.63PCh. 12.1 - A small 250-g collar C can slide on a semicircular...Ch. 12.1 - A small 250-g collar C can slide on a semicircular...Ch. 12.1 - An advanced spatial disorientation trainer is...Ch. 12.1 - The 3-kg collar B slides on the frictionless arm...Ch. 12.1 - A 0.5-kg block B slides without friction inside a...Ch. 12.1 - Pin B weighs 4 oz and is free to slide in a...Ch. 12.1 - The parasailing system shown uses a winch to let...Ch. 12.1 - A 700-kg horse A lifts a 50-kg hay bale B as...Ch. 12.2 - A particle of mass m is projected from point A...Ch. 12.2 - A particle of mass m is projected from point A...Ch. 12.2 - Determine the mass of the earth knowing that the...Ch. 12.2 - Show that the radius r of the moons orbit can be...Ch. 12.2 - Communication satellites are placed in a...Ch. 12.2 - Prob. 12.81PCh. 12.2 - The orbit of the planet Venus is nearly circular...Ch. 12.2 - A satellite is placed into a circular orbit about...Ch. 12.2 - The periodic time (see Prob. 12.83) of an earth...Ch. 12.2 - A 500-kg spacecraft first is placed into a...Ch. 12.2 - A space vehicle is in a circular orbit of 2200-km...Ch. 12.2 - Prob. 12.87PCh. 12.2 - Prob. 12.88PCh. 12.2 - Prob. 12.89PCh. 12.2 - A 1-kg collar can slide on a horizontal rod that...Ch. 12.2 - Two 2.6-lb collars A and B can slide without...Ch. 12.2 - A small ball swings in a horizontal circle at the...Ch. 12.3 - A uniform crate C with mass mC is being...Ch. 12.3 - A uniform crate C with mass m is being transported...Ch. 12.3 - Prob. 12.94PCh. 12.3 - Prob. 12.95PCh. 12.3 - A particle with a mass m describes the path...Ch. 12.3 - A particle of mass m describes the parabola y =...Ch. 12.3 - Prob. 12.98PCh. 12.3 - Prob. 12.99PCh. 12.3 - Prob. 12.100PCh. 12.3 - Prob. 12.101PCh. 12.3 - A satellite describes an elliptic orbit about a...Ch. 12.3 - Prob. 12.103PCh. 12.3 - Prob. 12.104PCh. 12.3 - Prob. 12.105PCh. 12.3 - Halleys comet travels in an elongated elliptic...Ch. 12.3 - Prob. 12.109PCh. 12.3 - A space probe is to be placed in a circular orbit...Ch. 12.3 - The Clementine spacecraft described an elliptic...Ch. 12.3 - A space probe is describing a circular orbit of...Ch. 12.3 - Prob. 12.115PCh. 12.3 - A space shuttle is describing a circular orbit at...Ch. 12.3 - Prob. 12.117PCh. 12.3 - A satellite describes an elliptic orbit about a...Ch. 12.3 - Prob. 12.119PCh. 12.3 - Prob. 12.120PCh. 12.3 - Show that the angular momentum per unit mass h of...Ch. 12 - In the braking test of a sports car, its velocity...Ch. 12 - A bucket is attached to a rope of length L = 1.2 m...Ch. 12 - A 500-lb crate B is suspended from a cable...Ch. 12 - The parasailing system shown uses a winch to pull...Ch. 12 - A robot arm moves in the vertical plane so that...Ch. 12 - Telemetry technology is used to quantify kinematic...Ch. 12 - The radius of the orbit of a moon of a given...Ch. 12 - Prob. 12.131RPCh. 12 - Prob. 12.132RPCh. 12 - Disk A rotates in a horizontal plane about a...
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
- Dynamics Question 12.6arrow_forwardProblem 4.51 The force-compression profile of a rubber bumper B is given by FB = Bx, where B = 3.5 x 10 lb/ft and x is the bumper's compression measured in the horizontal direction. Determine the expression for the potential energy of the bumper B. In addition, if the cruiser C weighs 70,00O lb and impacts B with a speed of 5 ft/s, determine the compression required to bring C to a stop. Model C as a particle and neglect C's vertical motion as well as the drag force between the water and the cruiser C. 5. 0.1 0.2 0.3 0.4 0.5 x (ft) Figure P4.51 FB (x105 lb)arrow_forwardapplied mechanics 2arrow_forward
- The crate/box shown has a square shape, an in-plane size of 10 ft X 10 ft and a uniformly distributed 300 lb weight. It is hung on an overhead roller conveyer and being transported. The crate is at rest when a horizontal force P of 40 lb is applied at the point E, which is 4 ft above the bottom of the box. Knowing that the crate starts to move from rest and at the instant t it reaches a speed of 9.3 ft/s. Neglect the frictions at the hinges A and B and between the rollers and the rail track. Answer the following questions: a) Draw FBD and KD of the box. b) What kind of motion the crate is moving in? c) Write out the motion equations. d) Find the acceleration at the crate's mass center and the pin forces at A and B. e) Determine the distance d and time t of the motion when the speed reaches 9.3 ft/s. A B P 10 ft E 4 ft D + 10 ftarrow_forward8 in. 6 in. B PROBLEM 13.58 A 3-lb collar is attached to a spring and slides without friction along a circular rod in a horizontal plane. The spring has an undeformed length of 7 in. and a constant k = 1.5 lb/in. Knowing that the collar is in equilibrium at A and is given a slight push to get it moving, determine the velocity of the collar (a) as it passes through B, (b) as it passes through C. VB = = 11.66 ft/s 15.01 ft/s VC =arrow_forward12.92 Two 2.6-lb collars A and B can slide without friction on a frame, con- sisting of the horizontal rod OE and the vertical rod CD, which is free to rotate about CD. The two collars are connected by a cord running over a pulley that is attached to the frame at O, and a stop prevents collar B from moving. The frame is rotating at the rate 0 = 12 rad/s and r = 0.6 ft when the stop is removed, allowing collar A to move out along rod OE. Neglecting friction and the mass of the frame, deter- mine, for the position r = 1.2 ft, (a) the transverse component of the velocity of collar A, (b) the tension in the cord and the acceleration of collar A relative to the rod OE. D B Fig. P12.92 A Earrow_forward
- PROBLEM 12.24 An airplane has a mass of 25 Mg and its engines develop a total thrust of 40 kN during take-off. If the drag D exerted on the plane has a magnitude D=2.25v², where v is expressed in meters per second and D in newtons, and if the plane becomes airborne at a speed of 240 km/h, determine the length of runway required for the plane to take off.arrow_forwardA 5-kg bag is gently pushed off the top of a wall and swings in a vertical plane at the end of a 2.4m rope which can withstand a maximum tension of 100 N. Determine (a) the elevation h betweenpoint A and point B where the rope will break, (b) the distance d from the vertical wall to thepoint where the bag will strike the floor.arrow_forwardPin B weighs 0.1kg and is free to slide in a horizontal plane along therotating arm OC and along the circular slot DE of radius b=500mm.Neglecting friction and assuming that θ= 15 rad/s andθ=250 rad/s2 for the position θ= 20o , determine for that position(a) the radial and transverse components of the resultant forceexerted on pin B, (b) the forces P and Q exerted on pin B,respectively, by rod OC and the wall of slot DE.arrow_forward
- applied mechanics 2arrow_forwardPart 3 A lift cage in a mining operation has a mass of 1000kg when empty. When a fully laden with a mass of 700kg it is lowered with uniform acceleration such that after 200m its velocity is 25m/s. By constructing free body diagrams and using D'Alembert's principle determine: (a) the tension in the cable of the lift. (b) the reaction force exerted by the load in the lift.arrow_forwardA 2000-kg truck is being used to lift a 400-kg boulder B that is on a 50-kg pallet A. Knowing the acceleration of the rear-wheel-drive truck is 1 1 m 10.6 m m/s?, determine (a) the reaction at each of the front wheels, (b) the force between the boulder and the pallet. 1.4 m > +2 m→ <1.2 m→ Aarrow_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 Press
Mechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSON
Thermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEY
Mechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage Learning
Engineering 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