MOD.MASTER.W/ETEXT ENG.MECHANICS CARD+BK
15th Edition
ISBN: 9780137519170
Author: HIBBELER
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 12, Problem 10P
A particle moves along a straight line with an acceleration of a = 5/(3s1/3 + s5/2) m/s2 , where s is in meters. Determine the particle’s velocity when s = 2 m, if it starts from rest when s = 1 m. Use a numerical method to evaluate the integral.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
A particle moves in a straight line with an acceleration of
a = 4t – 30 (m/sec²)
where t is in seconds. When 1 = 0, v = 3 m/s, and s = -5 m. Find an equation for the velocity and
position of the particle as a function of time. Plot the acceleration, velocity, and position for 0 to 5
After a vigorous soccer match, Tina and Michael decide to have a glass of their favorite refreshment. They each run in a straight line along the indicated paths at a speed of 10 ft/sec.
Tina
Michael
Michael
Write parametric equations for the motion of Tina and Michael individually after t seconds. (Round all numerical values to four decimal places as needed.)
X =
Tina
y =
Michael
X =
(-50, 200)
●
beet juice
y =
-0.4286t+ 128.5714
●
(200, 300)
soy milk
(300, 50)
Find when Tina and Michael are closest to one another. (Round your answer to four decimal places.)
t =
S
(x, y) =
Tina
Find where Tina and Michael are closest to one another. (Round your answers to three decimal places.)
(x, y) =
The motion of a particle is given by the equation s = 2t to the 4th power minus t cubes over 6 plus 2t squared where s is in mm and t in seconds. Compute the values of velocity (v) and acceleration (a) when t = 2 sec. Graph and label the v-t and a-t relations.
Chapter 12 Solutions
MOD.MASTER.W/ETEXT ENG.MECHANICS CARD+BK
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
- At a football tryout, a player runs a 40-yard dash in t, = 4.70 seconds. If the reaches his maximum speed at the 14-yard mark L, with a constant acceleration and then maintains that speed for the remainder of the run, determine his acceleration over the fırst 14 yards, his maximum speed, and the time duration of the acceleration. t = 0 Amswers: His acceleration: i ft/sec2 a = His maximum speed: i ft/sec The time duration of the acceleration: t= i secarrow_forwardThe velocity of a particle is given by v = 39t²-93t+47, where v is in meters per second and t is in seconds. Plot the velocity v and acceleration a versus time for the first 3 seconds of motion and evaluate the velocity when a is zero. Make the plots and then answer the questions. Questions: When t = 0.5 s, V= 10.25 m/s, a = i -73.5 m/s² When t = 1.3 s, V = -7.99 m/s, a = i -42.3 When t = 2.3 s, V = 39.41 m/s, a = i -3.3 When a = 0, V = i 895.6 m/s m/s² m/s²arrow_forwardStarting from rest, a particle moving in a straight line has an acceleration of a = (2t - 6) m/s^2, where t is in seconds. Determine the particle's velocity and position 4s after. Write your answer in the format (v=___ft/s; x=___ft)arrow_forward
- radius of r = 2.9 m. At the instant shown, the ball is moving at a speed of v= 5.7 m/s. Determine the total acceleration of the ball (in m/s²) at this instant. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point. Take g = 9.81 m/s². Your Answer: Answer 45°arrow_forward4. An aircraft flies a path described by the equation, r2 = If e = (0.4t2) rad. Determine the radial and transverse components of the aircraft's acceleration and velocityat t = 1s. Take note that 0 is in radians and t is in seconds. (Note: solve trigo functions in radians mode) (10 cos 20) m2 at a certain portion of its flight.arrow_forwardA particle moving along the s-axis has a velocity given by v = 22.3 -3.7t² ft/sec, where t is in seconds. When t = 0, the position of the particle is given by so = 3.9 ft. For the first 3.5 seconds of motion, determine the total distance D traveled, the net displacement As, and the value of s at the end of the interval. Answers: Total distance traveled, Net Displacement, The value of s at the end of the interval, D= As = S= i i i ft ft ftarrow_forward
- A particle starts from rest at x = -2.1 m and moves along the x-axis with the velocity history shown. Plot the corresponding acceleration and the displacement histories for the 3.2 seconds. Find the time t when the particle crosses the origin. After you have the plots, answer the questions. 1, m/s 3.8- 3.2 0.8 1.6 t, s 2.4 -0.9 Questions At t = 0.52 X = i m, v= i m/s, a = i m/s2 S, Att = 1.27 X = i m, v= m/s, a = m/s2 S, At t = 2.23 X = i m, v= i m/s, a = i m/s2 S, The particle will cross the origin when t = i S.arrow_forwardqueston: A particle moves in the x-y plane with an x-component of velocity in meter per second given by vx = 4√t, with t in seconds. The acceleration of the particle in the y-direction in meter per second squared is given by by ay = 4 e(t), with t in seconds. When t-4, y=10, x=4, and vy = 10, (a) Find the equation of the path of the particle and (b) calculate the magnitude of the velocity v of the particle for the instant when its y-coordinate reaches 20 m, and the angle which the velocity makes with the x-axis.arrow_forwardA particle moves along a straight line with a velocity of = +(6+2) ft/s, where t is in seconds. When the instantaneous acceleration is 26 ft/s², what is the time? Write your answer to three significant figures. The time at an acceleration of 26 ft/s2 is Numberarrow_forward
- 2. The acceleration of a particle is given by a = (6t-3) m/s2, where t is in seconds. Assume the particle moves in a horizontal direction only. It starts at rest when it is located at 2 m to the right of the origin at t = 0 s. Answer the following questions. a. Is acceleration constant over time? Justify your response by explaining why this is relevant to your analysis. Yes Reasoning: No b. What is the velocity of the particle as a function of time? Show your work. Velocity as a function of time C. Where is the particle located at when t = 5 s? Show your work. Magnitude rounded to 3 sig. fig. Units Units Direction (right or left of origin)arrow_forwardThe trajectory of a rocket as a function of time given by: 7(t) = (1.3 2 + 0.4 t ) ; +0.4 ° } The above equation gives the position vector in meters when the time is in seconds. What is the magnitude of acceleration at t = 13 s in m/s?.arrow_forwardThe acceleration of a particle is given by a = -ks?, where a is in meters per second squared, k is a constant, and s is in meters. Determine the velocity of the particle as a function of its position s. Evaluate your expression for s = 11 m if k = 0.3 m²'s² and the initial conditions at time t = 0 are so = 7 m and v = 41 m/s. -2 %3D Answer: v = m/sarrow_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