Vector Mechanics for Engineers: Dynamics
11th Edition
ISBN: 9780077687342
Author: Ferdinand P. Beer, E. Russell Johnston Jr., Phillip J. Cornwell, Brian Self
Publisher: McGraw-Hill Education
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 13.2, Problem 13.78P
The pendulum shown is released from rest at A and swings through 90° before the cord touches the fixed peg B. Determine the smallest value of a for which the pendulum bob will describe a circle about the peg.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
(a) Find the final speed V of the center of mass of the wheel once the wheel starts moving.
The inverted crank-slider shown has crank AB
3 in and ground link AC = 6 in.
Find the re-rocking angle AO, of rod 4
between its extreme right and extreme left
positions.
Write your answer in degrees but do not write the units.
A
C
DELL
Three masses K, L and M of
magnitudes 20 kg, 18 kg and 16 kg are
attached rigidly to the shaft. The
masses are rotating in the same plane.
The corresponding radii of rotation are
160 mm, 190 mm and 130 mm
respectively. The angle made by the
mass K with horizontal is 50° and the
angles between masses K to L 90°
and L to M 170° respectively. Find the
magnitude of the balancing mass if its
.radius of rotation is 200 mm
Chapter 13 Solutions
Vector Mechanics for Engineers: Dynamics
Ch. 13.1 - Block A is traveling with a speed v0 on a smooth...Ch. 13.1 - A 400-kg satellite is placed in a circular orbit...Ch. 13.1 - A 1-Ib stone is dropped down the “bottomless pit”...Ch. 13.1 - A baseball player hits a 5.1-oz baseball with an...Ch. 13.1 - A 500-kg communications satellite is in a circular...Ch. 13.1 - Prob. 13.5PCh. 13.1 - In an ore-mixing operation, a bucket full of ore...Ch. 13.1 - Determine the maximum theoretical speed the may be...Ch. 13.1 - A 2000-kg automobile starts from rest at point A...Ch. 13.1 - A package is projected up a 15° incline at A with...
Ch. 13.1 - A 1.4-kg model rocket is launched vertically from...Ch. 13.1 - Packages are thrown down an incline at A with a...Ch. 13.1 - Packages are thrown down an incline at A with a...Ch. 13.1 - Boxes are transported by a conveyor belt with a...Ch. 13.1 - Boxes are transported by a conveyor belt with a...Ch. 13.1 - A 1200-kg trailer is hitched to a 1400-kg car. The...Ch. 13.1 - A trailer truck enters a 2 percent uphill grade...Ch. 13.1 - The subway train shown is traveling at a speed of...Ch. 13.1 - The subway train shown is travelling at a speed of...Ch. 13.1 - Blocks A and B weigh 25 Ib and 10 Ib,...Ch. 13.1 - The system shown is at rest when a constant 30-lb...Ch. 13.1 - Car B is towing car A at a constant speed of 10...Ch. 13.1 - The system shown is at rest when a constant 250-N...Ch. 13.1 - The system shown is at rest when a constant 250-N...Ch. 13.1 - Two blocks A and B, of mass 4 kg and 5 kg....Ch. 13.1 - Four 3-kg packages are held in place by friction...Ch. 13.1 - A 3-kg block rests on top of a 2-kg block...Ch. 13.1 - Solve Prob. 13.26. assuming that the 2-kg block is...Ch. 13.1 - People with mobility impairments can gain great...Ch. 13.1 - A 7.5-lb collar is released from rest in the...Ch. 13.1 - A 10-kg block is attached to spring A and...Ch. 13.1 - A 5-kg collar A is at rest on top of, but not...Ch. 13.1 - A piston of mass m and cross-sectional area A is...Ch. 13.1 - An uncontrolled automobile travelling at 65 mph...Ch. 13.1 - Two types of energy-absorbing fenders designed to...Ch. 13.1 - Nonlinear springs are classified as hard or soft,...Ch. 13.1 - A meteor starts from rest at a very great distance...Ch. 13.1 - Express the acceleration of gravity gh, at an...Ch. 13.1 - Prob. 13.38PCh. 13.1 - The sphere at A is given a downward velocity v0 of...Ch. 13.1 - The sphere at Ais given a downward velocity v0and...Ch. 13.1 - A bag is gently pushed off the top of a wall at A...Ch. 13.1 - A roller coaster starts from rest at A, rolls down...Ch. 13.1 - In Prob. 13.42. determine the range of values of h...Ch. 13.1 - A small block slides at a speed v on a horizontal...Ch. 13.1 - A small block slides at a speed v=8 ft/s on a...Ch. 13.1 - A chairlift is designed to transport 1000 skiers...Ch. 13.1 - Prob. 13.47PCh. 13.1 - The velocity of the lift of Prob. 13.47 increases...Ch. 13.1 - (a) A 120-lb woman rides a 15-lb bicycle up a...Ch. 13.1 - Prob. 13.50PCh. 13.1 - Prob. 13.51PCh. 13.1 - Prob. 13.52PCh. 13.1 - Prob. 13.53PCh. 13.1 - The elevator E has a weight of 6600 lb when fully...Ch. 13.2 - Two small balls A and B with masses 2m and m,...Ch. 13.2 - A small blocks is released from rest and slides...Ch. 13.2 - Prob. 13.55PCh. 13.2 - A loaded railroad car of mass m is rolling at a...Ch. 13.2 - A 750-g collar can slide along the horizontal rod...Ch. 13.2 - A 4-Ib collar can slide without friciton along a...Ch. 13.2 - A 4-Ib collar can slide without friction along a...Ch. 13.2 - A 500-g collar can slide without friction on the...Ch. 13.2 - For the adapted shuffleboard device in Prob 13.28....Ch. 13.2 - An elastic cable is to be designed for bungee...Ch. 13.2 - Prob. 13.63PCh. 13.2 - A 2-kg collar is attached to a spring and slides...Ch. 13.2 - Prob. 13.65PCh. 13.2 - A thin circular rod is supported in a vertical...Ch. 13.2 - Prob. 13.67PCh. 13.2 - A spring is used to stop a 50-kg package that is...Ch. 13.2 - Prob. 13.69PCh. 13.2 - Prob. 13.70PCh. 13.2 - Prob. 13.71PCh. 13.2 - Prob. 13.72PCh. 13.2 - A 10-lb collar is attached to a spring and slides...Ch. 13.2 - An 8-oz package is projected upward with a...Ch. 13.2 - If the package of Prob. 13.74 is not to hit the...Ch. 13.2 - A small package of weight W is projected into a...Ch. 13.2 - Prob. 13.77PCh. 13.2 - The pendulum shown is released from rest at A and...Ch. 13.2 - Prob. 13.79PCh. 13.2 - Prob. 13.80PCh. 13.2 - Prob. 13.81PCh. 13.2 - Prob. 13.82PCh. 13.2 - Prob. 13.83PCh. 13.2 - Prob. 13.84PCh. 13.2 - (a) Determine the kinetic energy per unit mass...Ch. 13.2 - Prob. 13.86PCh. 13.2 - Prob. 13.87PCh. 13.2 - How much energy per pound should be imparted to a...Ch. 13.2 - Knowing that the velocity of an experimental space...Ch. 13.2 - Prob. 13.90PCh. 13.2 - Prob. 13.91PCh. 13.2 - Prob. 13.92PCh. 13.2 - Prob. 13.93PCh. 13.2 - Prob. 13.94PCh. 13.2 - Prob. 13.95PCh. 13.2 - Prob. 13.96PCh. 13.2 - Prob. 13.97PCh. 13.2 - Prob. 13.98PCh. 13.2 - Prob. 13.99PCh. 13.2 - Prob. 13.100PCh. 13.2 - Prob. 13.101PCh. 13.2 - Prob. 13.102PCh. 13.2 - Prob. 13.103PCh. 13.2 - Prob. 13.104PCh. 13.2 - Prob. 13.105PCh. 13.2 - Prob. 13.106PCh. 13.2 - Prob. 13.107PCh. 13.2 - Prob. 13.108PCh. 13.2 - Prob. 13.109PCh. 13.2 - Prob. 13.110PCh. 13.2 - Prob. 13.111PCh. 13.2 - Prob. 13.112PCh. 13.2 - Prob. 13.113PCh. 13.2 - Prob. 13.114PCh. 13.2 - Prob. 13.115PCh. 13.2 - A spacecraft of mass mdescribes a circular orbit...Ch. 13.2 - Prob. 13.117PCh. 13.2 - Prob. 13.118PCh. 13.3 - A large insect impacts the front windshield of a...Ch. 13.3 - The expected damages associated with two types of...Ch. 13.3 - The initial velocity of the block in position A is...Ch. 13.3 - Prob. 13.F2PCh. 13.3 - Prob. 13.F3PCh. 13.3 - Car A was traveling west at a speed of 15 m/s and...Ch. 13.3 - Prob. 13.F5PCh. 13.3 - A 35.000-Mg ocean liner has an initial velocity of...Ch. 13.3 - Prob. 13.120PCh. 13.3 - A sailboat weighing 980 lb with its occupants is...Ch. 13.3 - A truck is hauling a 300-kg log out of a ditch...Ch. 13.3 - The coefficients of friction between the load and...Ch. 13.3 - Steep safety ramps are built beside mountain...Ch. 13.3 - Baggage on the floor of the baggage car of a...Ch. 13.3 - Prob. 13.126PCh. 13.3 - Prob. 13.127PCh. 13.3 - Prob. 13.128PCh. 13.3 - Prob. 13.129PCh. 13.3 - Prob. 13.130PCh. 13.3 - Prob. 13.131PCh. 13.3 - The system shown is at rest when a constant 150-N...Ch. 13.3 - Prob. 13.133PCh. 13.3 - Prob. 13.134PCh. 13.3 - A 60-g model rocket is fired vertically. The...Ch. 13.3 - Prob. 13.136PCh. 13.3 - A crash test is performed between an SUV A and a...Ch. 13.3 - Prob. 13.138PCh. 13.3 - Prob. 13.139PCh. 13.3 - A 1.6 2-oz golf ball is hit with a golf club and...Ch. 13.3 - The triple jump is a track-and-field event in...Ch. 13.3 - Prob. 13.142PCh. 13.3 - Prob. 13.143PCh. 13.3 - A 28-g steel-jacketed bullet is fired with a...Ch. 13.3 - A 25-ton railroad car moving at 2.5 mi/h is to be...Ch. 13.3 - At an intersection, car B was traveling south and...Ch. 13.3 - The 650-kg hammer of a drop-hammer pile driver...Ch. 13.3 - Prob. 13.148PCh. 13.3 - Prob. 13.149PCh. 13.3 - Prob. 13.150PCh. 13.3 - Prob. 13.151PCh. 13.3 - Prob. 13.152PCh. 13.3 - A 1-az bullet is traveling with velocity of 1400...Ch. 13.3 - In order to test the resistance of a chain to...Ch. 13.4 - A 5 -kg ball A strikes a 1-kg ball B that is...Ch. 13.4 - F6 A sphere with a speed v0 rebounds after...Ch. 13.4 - An 80-Mg railroad engine A coasting at 6.5 km/h...Ch. 13.4 - Prob. 13.F8PCh. 13.4 - Prob. 13.F9PCh. 13.4 - Block A of mass mA strikes ball B of mass mB with...Ch. 13.4 - Prob. 13.155PCh. 13.4 - Collars A and B, of the same mass m, are moving...Ch. 13.4 - One of the requirements for tennis balls to be...Ch. 13.4 - Prob. 13.158PCh. 13.4 - Prob. 13.159PCh. 13.4 - Packages in an automobile parts supply house are...Ch. 13.4 - Three steel spheres of equal mass are suspended...Ch. 13.4 - Prob. 13.162PCh. 13.4 - Prob. 13.163PCh. 13.4 - Two identical billiard balls can move freely on a...Ch. 13.4 - Prob. 13.165PCh. 13.4 - A 600-g ball A is moving with a velocity of...Ch. 13.4 - Two identical hockey pucks are moving on a hockey...Ch. 13.4 - Prob. 13.168PCh. 13.4 - Prob. 13.169PCh. 13.4 - The Mars Pathfinder spacecraft used large airbags...Ch. 13.4 - A girl throws a ball at an inclined wall from a...Ch. 13.4 - Rockfalls can cause major damage to roads and...Ch. 13.4 - Prob. 13.173PCh. 13.4 - cars of the same mass run head-on into each other...Ch. 13.4 - Prob. 13.175PCh. 13.4 - Prob. 13.176PCh. 13.4 - After having been pushed by an airline employee,...Ch. 13.4 - Blocks A and B each weigh 0.8 lb and block C...Ch. 13.4 - A 5-kg sphere is dropped from a height of y=2 m to...Ch. 13.4 - Prob. 13.180PCh. 13.4 - Prob. 13.181PCh. 13.4 - Block A is released from rest and slides down the...Ch. 13.4 - Prob. 13.183PCh. 13.4 - A test machine that kicks soccer balls has a 5-lb...Ch. 13.4 - Prob. 13.185PCh. 13.4 - Prob. 13.186PCh. 13.4 - A 2-kg sphere moving to the right with a velocity...Ch. 13.4 - When the rope is at an angle of a=30 , the 1-Ib...Ch. 13.4 - Prob. 13.189PCh. 13 - A 32,000-Ib airplane lands on an aircraft carrier...Ch. 13 - A 2-oz pellet shot vertically from a spring-loaded...Ch. 13 - A satellite describes an elliptic orbit about a...Ch. 13 - Prob. 13.193RPCh. 13 - Prob. 13.194RPCh. 13 - A 300-g block is released from rest after a spring...Ch. 13 - A kicking-simulation attachment goes on the front...Ch. 13 - A 300-g collar A is released from rest, slids down...Ch. 13 - Prob. 13.198RPCh. 13 - Prob. 13.199RPCh. 13 - Prob. 13.200RPCh. 13 - The 2-Ib ball at A is suspended by an inextensible...
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
- EXERCISE 2.45 Pin P slides inside the 400- mm-radius groove at a constant rate of 8 m/s. This motion is actuated by arm AB. Determine the rotation rate of this arm and the rate of change of that rate when (a) 0 =90°, (b) 0 = 135°. (Hint: use polar coordinates and path variables to solve the problem. Select A as the origin of the frame. R is from the rotation center of the arm to pin P.) 600 mm) B 400 mmarrow_forward1. The annular wheel A rotates at 300 rpm about the fixed wheel S which has80 teeth. The three armed spider ‘a’ carries three planet wheels P and itruns at 180 rpm in the same direction of A. Determine the number of teethon P.arrow_forward1. The slotted link is pinned at 0, and as a result of the constant angular velocity é = 6 rad's it drives the peg P for a short distance along the spiral guide r = (0.6 0) m where e is in radians. When e = 80 deg, Find: a. Find e, é, ë,r,r, ř. (in radians) b. The radial components, transverse components, and magnitudes of the velocity [4maeie). - The radial components, transverse components, and magnitudes of the acceleration of P at the instant. asks). %3D 0.8 m r=0.6 0 ô =6 rad/sarrow_forward
- 5,The slider p can be moved inward by means of the string S as the bar oA totates about the pivot o. the angular position of the bar is given by 0 = 0.4 +0.12t+ 0.06t³, where is in radians and t is in seconds. The position of the slider is given by r= 0.8 0.1t -0.05t², where r is in meters and t is in seconds. Determine and skeatch the velocity and accceleration of the slider at time t=2s. find the angles a andß which V and a make with the positive x -axis. V Aarrow_forwardThe piston of the hydraulic cylinder gives pin A a constant velocity v = 3 [ in the direction shown for an interval of its motion. For the shown instant where 0 = 60°, solve the following: (a) Draw the polar unit vectors at the current location of the pin. (b) Determine the values of r, 0,7 and Ö where r = OAarrow_forwardIf the disk rolls without slipping on the horizontal surface, find the acceleration of point A.arrow_forward
- The rod is released from rest as shown.Calculate:A) Value of x that mazimizes anggular accelerationB) The value of this accelerationThe rod is homogenous.arrow_forwardIn the slider-crank mechanism shown, the slide B travels along the center line XX'. Q,A = 1 ½ inches, AB = 6 inches. Crank Q,A moves counterclockwise. (1) Find the two extreme positions of B. (2) Show and dimension the angular movements in degrees of the crank Q2A when the slide B moves between its extreme positions. (3) Find the length of stroke of B. Use Kg: 1 in. = 2 cm. X' VERTICAL DISTANCE FROM Q2 TO B' = INCHES VERTICAL DISTANCE FROM Q2 TO B" = INCHES ANGULAR DISPLACEMENT FROM A' TO A" = DEGREES ANGULAR DISPLACEMENT FROM A' TO A' = DEGREES LENGTH OF STROKE OF B = INCHESarrow_forwardQ1. In a link work, as shown in Fig. below, the crank A B rotates about A at a uniform speed of 150 r.p.m. The lever DC oscillates about the fixed point D, being connected to A B by the connecting link BC. The block F moves, in horizontal guides being driven by the link EF, when the crank A B is at 30°. The dimensions of the various links are: AB = 150 mm; BC = 450 mm; CE = 300 mm; DE = 150 mm; and EF = 350 mm. Find, for the given configuration, find 1- angular acceleration of link DC, and 2- acceleration of slider F. 75 mm www 450 mm 37,5 mm Aarrow_forward
- Determine the length of stroke of a slider E when the crank AC rotates by 30 degrees in counter- clockwise from its original configuration shown. AC=35, AB=70, CD=45, BD=45, DE=40cm. Draw in appropriate scale.arrow_forwardThe slider P can be moved inward by means of the string S as the bar OA rotates about the pivot 0. The angular position of the bar is given by 0 = 0.4 +0.12t+ 0.06t³, where 0 is in radians and t is in seconds. The position of the slider is given by r = 0.8 0.1t 0.05t2, where r is in meters and t is in seconds. Determine and sketch the velocity and acceleration of the slider at time t = 2 s. Find the angles a and ß which v and a make with the posi- tive x-axis. S 0 Problem 2/144 رفع جكarrow_forwardQ. The upper and lower arms of Porter governor are 0.25 m each and are pivoted 30 mm from the axis of rotation. The radius of rotation Is 130 mm. The mass of the ball and sleeve are 3 kg and 38 kg respectively. Find the effort and power of the governor.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
Introduction to Undamped Free Vibration of SDOF (1/2) - Structural Dynamics; Author: structurefree;https://www.youtube.com/watch?v=BkgzEdDlU78;License: Standard Youtube License