PEARSON ETEXT ENGINEERING MECH & STATS
15th Edition
ISBN: 9780137514724
Author: HIBBELER
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 12, Problem 216P
If block B is moving down with a velocity vB and has an acceleration aB , determine the velocity and acceleration of block A in terms of the parameters shown.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Under the action of force P, the constant acceleration of block B is 7.0 ft/sec² up the incline. For the instant when the velocity of B is 4.0
ft/sec up the incline, determine the velocity of B relative to A (positive if up the slope, negative if down), the acceleration of Brelative to
A (positive it up the slope, negative if down), and the absolute velocity of point C (positive if up the slope, negative if down) of the cable.
Answers:
VRA
AAA-
ve
20
ft/sec
ft/sec²
ft/sec
4. The rotation of the arm is programmed to follow the path theta=0.2*t+0.02*t^3. The
screw controls the radial position of block B following the path r=0.2+0.04*t^2. Calculate
and graph the position of block B over time during the first 3 seconds of the motion. Find
the total velocity and acceleration at instant t=3.
Determine the constraint equation which relates the accelerations of bodies A and B. Assume that the upper surface of A remains
horizontal. If B accelerates downward at 3.29 m/s?, find the acceleration of A (positive if downward, negative if upward).
B
Answer: aA =
m/s?
Chapter 12 Solutions
PEARSON ETEXT ENGINEERING MECH & STATS
Ch. 12 - Initially, the car travels along a straight road...Ch. 12 - A ball is thrown vertically upward with a speed of...Ch. 12 - A particle travels along a straight line with a...Ch. 12 - A particle travels along a straight line with a...Ch. 12 - The position of the particle is given by s = (2t2 ...Ch. 12 - A particle travels along a straight line with an...Ch. 12 - A particle moves along a straight line such that...Ch. 12 - A particle travels along a straight line with a...Ch. 12 - Starting from rest, a particle moving in a...Ch. 12 - If a particle has an initial velocity of v0 = 12...
Ch. 12 - A particle travels along a straight line with a...Ch. 12 - A particle travels along a straight line with a...Ch. 12 - Prob. 5PCh. 12 - A particle is moving along a straight line such...Ch. 12 - A particle moves along a straight line with an...Ch. 12 - A particle travels along a straight-line path such...Ch. 12 - Tests reveal that a normal driver takes about 0.75...Ch. 12 - A particle is moving with a velocity of v0 when s...Ch. 12 - A particle is moving along a straight line with an...Ch. 12 - Car B is traveling a distanced ahead of car A....Ch. 12 - The velocity of a particle traveling along a...Ch. 12 - A freight train travels at v = 60(1 et) ft/s,...Ch. 12 - A particle is moving along a straight line such...Ch. 12 - If the effects of atmospheric resistance are...Ch. 12 - When a particle falls through the air, its initial...Ch. 12 - A sphere is fired downwards into a medium with an...Ch. 12 - Prob. 33PCh. 12 - Prob. 34PCh. 12 - A freight train starts from rest and travels with...Ch. 12 - Prob. 36PCh. 12 - Prob. 37PCh. 12 - Prob. 38PCh. 12 - Prob. 39PCh. 12 - An airplane starts from rest, travels 5000 ft down...Ch. 12 - The elevator starts from rest at the first floor...Ch. 12 - The motion of a jet plane just after landing on a...Ch. 12 - Prob. 44PCh. 12 - The vt graph for a particle moving through an...Ch. 12 - The a-s graph for a rocket moving along a straight...Ch. 12 - The jet car is originally traveling at a velocity...Ch. 12 - The v-t graph for a train has been experimentally...Ch. 12 - A motorcycle starts from rest at s = 0 and travels...Ch. 12 - A motorcycle starts from rest at s = 0 and travels...Ch. 12 - The v-t graph for the motion of a car as it moves...Ch. 12 - An airplane lands on the straight runway,...Ch. 12 - Starting from rest at s = 0, a boat travels in a...Ch. 12 - Starting from rest at s = 0, a boat travels in a...Ch. 12 - The speed of a train during the first minute has...Ch. 12 - A man riding upward in a freight elevator...Ch. 12 - Two cars start from rest side by side and travel...Ch. 12 - If the position of a particle is defined as s =...Ch. 12 - The jet plane starts from rest at s = 0 and is...Ch. 12 - Prob. 67PCh. 12 - Prob. 15FPCh. 12 - Prob. 16FPCh. 12 - A particle is constrained to travel along the...Ch. 12 - Prob. 18FPCh. 12 - A particle is traveling along the parabolic path y...Ch. 12 - Prob. 20FPCh. 12 - The ball is kicked from point A with the initial...Ch. 12 - The ball is kicked from point A with the initial...Ch. 12 - Prob. 23FPCh. 12 - Prob. 24FPCh. 12 - A ball is thrown from A. If it is required to...Ch. 12 - Prob. 26FPCh. 12 - If the velocity of a particle is defined as v(t) =...Ch. 12 - The velocity of a particle is v= {3i + (6 2t)j}...Ch. 12 - A particle, originally at rest and located at...Ch. 12 - The velocity of a particle is given by v ={16t2 i...Ch. 12 - The water sprinkler, positioned at the base of a...Ch. 12 - Prob. 74PCh. 12 - Prob. 75PCh. 12 - A particle travels along the curve from A to B in...Ch. 12 - The position of a crate sliding down a ramp is...Ch. 12 - A rocket is fired from rest at x = 0 and travels...Ch. 12 - The particle travels along the path defined by the...Ch. 12 - The motorcycle travels with constant speed v0...Ch. 12 - A particle travels along the curve from A to B in...Ch. 12 - The roller coaster car travels down the helical...Ch. 12 - Pegs A and B are restricted to move in the...Ch. 12 - The van travels over the hill described by y =...Ch. 12 - The flight path of the helicopter as it takes off...Ch. 12 - Determine the minimum initial velocity v0 and the...Ch. 12 - The catapult is used to launch a ball such that it...Ch. 12 - Neglecting the size of the ball, determine the...Ch. 12 - The girl at A can throw a ball at vA = 10 m/s....Ch. 12 - Show that the girl at A can throw the ball to the...Ch. 12 - The ball at A is kicked with a speed vA, = 80ft/s...Ch. 12 - The ball at A is kicked such that A = 30. If it...Ch. 12 - A golf ball is struck with a velocity of 80 ft/s...Ch. 12 - A golf ball is struck with a velocity of 80 ft/s...Ch. 12 - The basketball passed through the hoop even...Ch. 12 - It is observed that the skier leaves the ramp A at...Ch. 12 - It is observed that the skier leaves the ramp A at...Ch. 12 - Determine the horizontal velocity vA of a tennis...Ch. 12 - The missile at A takes off from rest and rises...Ch. 12 - The projectile is launched with a velocity v0....Ch. 12 - Prob. 101PCh. 12 - Prob. 102PCh. 12 - If the dart is thrown with a speed of 10 m/s,...Ch. 12 - Prob. 104PCh. 12 - Prob. 105PCh. 12 - Prob. 106PCh. 12 - Prob. 107PCh. 12 - Prob. 108PCh. 12 - The catapult is used to launch a ball such that it...Ch. 12 - Prob. 27FPCh. 12 - Prob. 28FPCh. 12 - Prob. 29FPCh. 12 - Prob. 30FPCh. 12 - Prob. 31FPCh. 12 - Prob. 32FPCh. 12 - The position of a particle is defined by r = {4(t ...Ch. 12 - The automobile has a speed of 80 ft/s at point A...Ch. 12 - The satellite S travels around the earth in a...Ch. 12 - The car passes point A with a speed of 25 m/s...Ch. 12 - Prob. 122PCh. 12 - Prob. 127PCh. 12 - Prob. 128PCh. 12 - Prob. 129PCh. 12 - Prob. 130PCh. 12 - A boat is traveling along a circular path having a...Ch. 12 - Prob. 132PCh. 12 - Prob. 133PCh. 12 - Prob. 134PCh. 12 - When t = 0, the train has a speed of 8 m/s, which...Ch. 12 - The ball is ejected horizontally from the tube...Ch. 12 - The race car has an initial speed vA = 15 m/s at...Ch. 12 - Particles A and B are traveling counter-clockwise...Ch. 12 - Prob. 146PCh. 12 - Prob. 149PCh. 12 - The train passes point A with a speed of 30 m/s...Ch. 12 - The particle travels with a constant speed of 300...Ch. 12 - Prob. 152PCh. 12 - If the speed of the crate at A is 15 ft/s, which...Ch. 12 - The car has a speed of 55 ft/s. Determine the...Ch. 12 - The platform is rotating about the vertical axis...Ch. 12 - Peg P is driven by the fork link OA along the...Ch. 12 - Prob. 36FPCh. 12 - Prob. 37FPCh. 12 - Prob. 38FPCh. 12 - An airplane is flying in a straight line with a...Ch. 12 - The small washer is sliding down the cord OA. When...Ch. 12 - If a particle moves along a path such that r = (2...Ch. 12 - Prob. 162PCh. 12 - The time rate of change of acceleration is...Ch. 12 - A particle moves in the x y plane such that its...Ch. 12 - At the instant shown, the man is twirling a hose...Ch. 12 - The rod OA rotates clockwise with a constant...Ch. 12 - Determine the magnitude of the acceleration of the...Ch. 12 - The rod OA rotates counterclockwise with a...Ch. 12 - Determine the magnitude of the acceleration of the...Ch. 12 - Prob. 189PCh. 12 - Determine the velocity of block D if end A of the...Ch. 12 - Prob. 40FPCh. 12 - Prob. 41FPCh. 12 - Prob. 42FPCh. 12 - Prob. 43FPCh. 12 - Prob. 44FPCh. 12 - If the end of the cable at A is pulled down with a...Ch. 12 - The motor at C pulls in the cable with an...Ch. 12 - Determine the displacement of the log if the truck...Ch. 12 - Determine the constant speed at which the cable at...Ch. 12 - Starting from rest, the cable can be wound onto...Ch. 12 - If the end A of the cable is moving at vA = 3 m/s,...Ch. 12 - Determine the time needed for the load at B to...Ch. 12 - The cable at A is being drawn toward the motor at...Ch. 12 - Determine the speed of the block at B.Ch. 12 - The roller at A is moving with a velocity of A = 4...Ch. 12 - Prob. 213PCh. 12 - At the instant shown, the car at A is traveling at...Ch. 12 - The motor draws in the cord at B with an...Ch. 12 - If block B is moving down with a velocity vB and...Ch. 12 - Two planes, A and B, are flying at the same...Ch. 12 - Prob. 219PCh. 12 - The boat can travel with a speed of 16 km/h in...Ch. 12 - Two boats leave the pier P at the same time and...Ch. 12 - Prob. 222PCh. 12 - At the instant shown, car A has a speed of 20...Ch. 12 - Cars A and B are traveling around the circular...Ch. 12 - At the instant shown, cars A and B are traveling...Ch. 12 - Prob. 228PCh. 12 - Prob. 230PCh. 12 - Prob. 232PCh. 12 - Prob. 1RPCh. 12 - Prob. 2RPCh. 12 - Prob. 3RPCh. 12 - Prob. 4RPCh. 12 - Prob. 5RPCh. 12 - Prob. 6RPCh. 12 - Prob. 7RPCh. 12 - Prob. 8RPCh. 12 - Prob. 9RPCh. 12 - Prob. 10RPCh. 12 - Prob. 11RP
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
- Determine the constraint equation which relates the accelerations of bodies A and B. Assume that the upper surface of A remains horizontal. If B accelerates downward at 4.42 m/s?, find the acceleration of A (positive if downward, negative if upward). Answer: aA= m/s?arrow_forward= The x- and y- motions of guides A and B with right-angle slots control the curvilinear motion of the connecting pin P, which slides in both slots. For a short interval the motions are governed by x = 20 + t² and y 15-¹t³, where x and y are in millimeters and t in seconds. Calculate the magnitudes of the velocity v and acceleration a of the pin for t = 2 s. sketch the direction of the path and indicate its curvature for this instant. 4 6 Ans. v= 2.24 mm/s, a = 2.06 mm/s² B Jerryarrow_forwardA. Without finding T and N. write the acceleration of the motion a(t) to the position vector r(t) = (*)i + (t+)j+ (t-je) * in the form a(t) = a, T+ an N at the value of t= 1.arrow_forward
- If you sure than you solve otherwise please skip it .Also I get tangential Acceleration value is 5.2718 m/s^2 .arrow_forwardMagnetic tape is being transferred from reel A to reel B and passes around idler pulleys Cand D. At a certain instant, point P1, on the tape is in contact with pulley C and point P2 is in contact with pulley D. If the normal component of acceleration of P1 is 41 m/s? and the tangential component of acceleration of P2 is 46 m/s? at this instant, compute the corresponding speed v of the tape, the magnitude of the total acceleration of P1, and the magnitude of the total acceleration of P2. 42 mm 112 mm Answers: V = i m/s i m/s? a1 = i m/s? a2 =arrow_forwardThe y-coordinate of a particle in curvilinear motion is given by y - 4 - 3t, where y is in inches and t is in seconds. Also, the particle has an acceleration in the x-direction given by a, - 12t in. /sec. If the ve- locity of the particle in the x-direction is 4 in./sec when t- 0, calculate the magnitudes of the velocity v and acceleration a of the particle when t 1 sec. Match each item to a choice: Velocity: Acceleration: Choices E28.1 in/s2 # 13.45 in/s # 34 6 in/s # 15.4 in/s # 24.1 in/s2 # 22.8 in/s # 26.8 in/s2arrow_forward
- For the fig. below the acceleration ob block B is 6 ft/sec^2 up the incline due to action of force P. Determine the velocity and the acceleration of block A * B A 20°arrow_forward3. The hydraulic cylinder C extends and causes the collar A to move and accelerate to the left. 3) If the length /= 1.5 ft, the angle = 33°, the linear velocity of collar A, VÀ is 5.5 ft/s, and the linear acceleration of collar A, a is 3.1 ft/s², determine the magnitude of the angular velocity, WAB, of rod AB. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point, and proper unit. X Your Answer: Answer k Ө units VA as ←arrow_forwarda4 az a2 The car is moving forward as shown in a5 a1 the figure. In six different scenarios, the acceleration vectors are also shown. For each scenario, describe in words the instantaneous motion of the car. a6arrow_forward
- Magnetic tape is being transferred from reel A to reel B and passes around idler pulleys Cand D. At a certain instant, point P1, on the tape is in contact with pulley Cand point P2 is in contact with pulley D. If the normal component of acceleration of P, is 32 m/s? and the tangential component of acceleration of P2 is 40 m/s? at this instant, compute the corresponding speed v of the tape, the magnitude of the total acceleration of P1, and the magnitude of the total acceleration of P2. 58 mm 104 mm Answers: y = m/s a1 = m/s? a2 = m/s2arrow_forwardCurrent Attempt in Progress Magnetic tape is being transferred from reel A to reel B and passes around idler pulleys Cand D. At a certain instant, point P1, on the tape is in contact with pulley C and point P2 is in contact with pulley D. If the normal component of acceleration of P1 is 37 m/s2 and the tangential component of acceleration of P2 is 43 m/s? at this instant, compute the corresponding speed v of the tape, the magnitude of the total acceleration of P1, and the magnitude of the total acceleration of P2. P 58 mm 117 mm A B Answers: V = i m/s a1 = i m/s2 a2 i m/s2arrow_forwardMagnetic tape is being transferred from reel A to reel B and passes around idler pulleys Cand D. At a certain instant, point P1, on the tape is in contact with pulley Cand point P2 is in contact with pulley D. If the normal component of acceleration of P, is 25 m/s? and the tangential component of acceleration of P2 is 34 m/s? at this instant, compute the corresponding speed v of the tape, the magnitude of the total acceleration of P1, and the magnitude of the total acceleration of P2. 49 mm 83 mm B Answers: V = i m/s i m/s2 a1= a2 = i m/s?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 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