PEARSON ETEXT ENGINEERING MECH & STATS
15th Edition
ISBN: 9780137514724
Author: HIBBELER
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 12, Problem 34FP
The platform is rotating about the vertical axis such that at any instant its angular position is θ = ( 4t3/2) rad, where t is in seconds. A ball rolls outward along the radial groove so that its position is r = (0.1t3) m, where t is in seconds. Determine the magnitudes of the velocity and acceleration of the ball when t = 1.5 s.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
The body is formed of slender rod and rotates about a fixed axis through point O. At time t = 0, the
body is in the orientation 0 = 0 and has an angular velocity wo = 0.3 rad/s and a constant angular
acceleration a = 0.8 rad/s². Determine the vectors of velocity and acceleration of point A at t = 1
s. Use d = 2r = 0.8 m. (√₁ = 0.106î + 1.240ŷ m/s, da -1.289 + 1.019ĵ m/s²)
ω, α
y
=
d
x
A
The two V-belt pulleys form an integral unit
and rotate about the fixed axis at O. At a
certain instant, point A on the belt of the
smaller pulley with a distance of DA = 143
mm has a velocity VA = 2.8 m/s, and point B
on the belt of the larger pulley with a
distance of DB = 900 mm has an acceleration
ag = 43 m/s? as shown. For this instant
determine the magnitude of the acceleration
ac of point C in m/s? if Rc = 374 mm.
ав
В
DB
UA
Rc
A
DA
The two rotor blades of 770-mm radius rotate about the shaft at O mounted in the sliding block. The acceleration of the block is aO = 5.2 m/s2. If θ˙θ˙ = 0 and θ¨θ¨ = 4.2 rad/s2 when θ = 0, find the magnitude of the acceleration of the tip A of the blade for this instant..
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
- Pravinbhaiarrow_forwardThe plate OAB forms an equilateral triangle with sides of S = 225 mm which rotates counterclockwise with increasing speed about point O. If the normal and tangential components of acceleration of the centroid C at a certain instant are 118 m/s? and 43 m/s², respectively, determine the value of de/dt in rad/s at this same instant. The angle e is the angle between line AB and the fixed horizontal axis. В C.arrow_forward2 Determine the angular velocity of links AB and BC at the instant 0 = 30°. Also, sketch the position of link BC when 0 = 55°, 45°, and 30° to show its general plane motion. B 1 ft 3 ft °c = 6 ft/sarrow_forward
- The small ball is moving along the radial slot of the rotating disk. At the instant shown, the disk has an angular velocity w = 4.1 rad/s which is decreasing at 1.7 rad/s per second, x = 230 mm, x = = 0.32 m/s, and ï = -0.2 m/s². Calculate the magnitudes of the absolute velocity and acceleration of the ball for this instant. (v₁ = 1.0 m/s, a₁ = 4.64 m/s²) = ω x 0 Aarrow_forwardThe member OA of the industrial robot telescopes and pivots about the fixed axis at point O. At the instant shown, 0 = 60°, 6 = 1.2 rad/s, 60.8 rad/s2, OA = 0.9 m, OA 0.5 m/s, and OA = -6 m/s2. Determine the magnitudes of the velocity and acceleration of joint A of the robot. Also, sketch the velocity and acceleration of A and determine the angles which these vectors make with the posi- tive x-axis. The base of the robot does not revolve %3D about a vertical axis. 1.1 m. 0.9 m 15° Parrow_forward2. The angular acceleration of the disk is defined by a= 3t² + 12 rad/s, where t is inn seconds. If the disk is originally rotating at wo=12 rad/s, determine the magnitudes of the velocity and the n and t components of acceleration of point A on the disk when t= 2 s. n = 12 rad/s 0.4 m -0.5 m-►Aarrow_forward
- The slotted arm OA forces the small pin to move in the fixed spiral guide defined by r = Kθ where θ is measured in radians and the constant K = 3.6 m. Arm OA starts from rest at θ = 39° and has a constant counterclockwise angular acceleration θ¨ = 1.2 rad/s2. Determine the magnitude of the acceleration of the pin P when θ = 144°.arrow_forwardA disk oscillates about its axis of rotation given by its angular acceleration of ∝ = -kθ. First determine the value of k for which, w= 16 rad/s when θ = 0 and θ = 6 radians when w= 0. Then determine the angular velocity when θ = 1.2 radians.arrow_forwardA body rotates about its center according to the relation θ = 10t2 + 8t – 5. Determine the tangential component of linear acceleration if its normal component of linear acceleration is 30 meters per sq. second. Assume that “t” in the equation is in seconds. The diameter of the body is 5 metersarrow_forward
- The flywheel rotates with an angular velocity ofw =(0.005θ²) rad/s, where 0 is in radians.Determine the angular acceleration when it hasrotated 20 revolutionsarrow_forwardAt the instant shown, the disk is rotating with an angular velocity of ωω and has an angular acceleration of αα. (Figure 1) Determine the acceleration of cylinder B at this instant. Express your answer in terms of some or all of the variables ωomega, αalpha, θtheta.arrow_forwardAt time t = 14 s, the velocity of a particle moving in the x-y plane is v = 0.06i + 2.45j m/s. By time t = 14.06 s, its velocity has become -0.04i + 2.31j m/s. Determine the magnitude day of its average acceleration during this interval and the angle 8 made by the average acceleration with the positive x-axis. The angle is measured counterclockwise from the positive x-axis. Answers: aav = 0= i i m/s²arrow_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