VECTOR MECH...,STAT.+DYN.(LL)-W/ACCESS
12th Edition
ISBN: 9781260265453
Author: BEER
Publisher: MCG
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Chapter 11.1, Problem 11.7P
A girl operates a radio-controlled model car in a vacant parking lot. The girl’s position is at the origin of the xy coordinate axes, and the surface of the parking lot lies in the x–y plane. She drives the car in a straight line so that the x coordinate is defined by the relation x(t) = 0.5t3 − 3t2 + 3t + 2, where x and t are expressed in meters and seconds, respectively. Determine (a) when the velocity is zero, (b) the position and total distance traveled when the acceleration is zero.
Fig. P11.7
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A girl operates a radio-controlled model car in a vacant parking lot. The girl’s position is at the origin of the xy coordinate axes, and the surface of the parking lot lies in the x-y plane. She drives the car in a straight line so that the x coordinate is defined by the relation x(t) = 0.5t3 - 3t2 + 3t2 + 3t + 2, where x and t are expressed in meters and seconds, respectively. Determine (a) when the velocity is zero, (b) the position and total distance travelled when the acceleration is zero.
1- A particle moves along the x axis. Its position varies with time according to the expression
x=-41+ 2f where x is in meters and t is in seconds. The position-time graph for this motion
is shown in Figure. Note that the particle moves in the negative x direction for the first second
of motion, is momentarily at rest at the moment 1 = 1 s, and moves in the positive x direction
at times /> 1 s.
(A) Determine the displacement of the particle in the time intervals t=0 to 1=1 s and t= 1 s
to / = 3 s.
B) Calculate the average velocity during these two-time intervals
C) determine the instantaneous velocity and instantaneous speed at t= 0.5 s.
x(m)
Slope = 4 m/s
10
00
8
9
10
O
Slope =-2 m/s
1
2
015
t(s)
Two cars A and B are stopped at a traffic light, waiting for the light to change from red to green, see Figure 3. Car B is 6 meters behind car A. When the light changes to green, car A leaves accelerating at a rate of 0.3 m / sec2, while car B departs 2 seconds later and accelerates at a rate of 0.8 m / sec2. Determine the position where they are next to each other, measured from the “o” point.
Chapter 11 Solutions
VECTOR MECH...,STAT.+DYN.(LL)-W/ACCESS
Ch. 11.1 - A bus travels the 100 miles between A and B at 50...Ch. 11.1 - Two cars A and B race each other down a straight...Ch. 11.1 - A snowboarder starts from rest at the top of a...Ch. 11.1 - The motion of a particle is defined by the...Ch. 11.1 - The vertical motion of mass A is defined by the...Ch. 11.1 - A loaded railroad car is rolling at a constant...Ch. 11.1 - A group of hikers uses a GPS while doing a 40-mile...Ch. 11.1 - The motion of a particle is defined by the...Ch. 11.1 - A girl operates a radio-controlled model car in a...Ch. 11.1 - The motion of a particle is defined by the...
Ch. 11.1 - The brakes of a car are applied, causing it to...Ch. 11.1 - The acceleration of a particle is defined by the...Ch. 11.1 - The acceleration of a particle is defined by the...Ch. 11.1 - Many car companies are performing research on...Ch. 11.1 - A Scotch yoke is a mechanism that transforms the...Ch. 11.1 - For the Scotch yoke mechanism shown, the...Ch. 11.1 - A piece of electronic equipment that is surrounded...Ch. 11.1 - A projectile enters a resisting medium at x = 0...Ch. 11.1 - Point A oscillates with an acceleration a =...Ch. 11.1 - A brass (nonmagnetic) block A and a steel magnet B...Ch. 11.1 - Based on experimental observations, the...Ch. 11.1 - A spring AB is attached to a support at A and to a...Ch. 11.1 - Prob. 11.21PCh. 11.1 - Starting from x = 0 with no initial velocity, a...Ch. 11.1 - A ball is dropped from a boat so that it strikes...Ch. 11.1 - The acceleration of a particle is defined by the...Ch. 11.1 - The acceleration of a particle is defined by the...Ch. 11.1 - A human-powered vehicle (HPV) team wants to model...Ch. 11.1 - Prob. 11.27PCh. 11.1 - Based on observations, the speed of a jogger can...Ch. 11.1 - The acceleration due to gravity at an altitude y...Ch. 11.1 - The acceleration due to gravity of a particle...Ch. 11.1 - The velocity of a particle is v = v0[1 sin(t/T)]....Ch. 11.1 - An eccentric circular cam, which serves a similar...Ch. 11.2 - An airplane begins its take-off run at A with zero...Ch. 11.2 - A minivan is tested for acceleration and braking....Ch. 11.2 - Steep safety ramps are built beside mountain...Ch. 11.2 - A group of students launches a model rocket in the...Ch. 11.2 - A small package is released from rest at A and...Ch. 11.2 - A sprinter in a 100-m race accelerates uniformly...Ch. 11.2 - Automobile A starts from O and accelerates at the...Ch. 11.2 - In a boat race, boat A is leading boat B by 50 m...Ch. 11.2 - As relay runner A enters the 65-ft-long exchange...Ch. 11.2 - Automobiles A and B are traveling in adjacent...Ch. 11.2 - Two automobiles A and B are approaching each other...Ch. 11.2 - An elevator is moving upward at a constant speed...Ch. 11.2 - Prob. 11.45PCh. 11.2 - Prob. 11.46PCh. 11.2 - The elevator E shown in the figure moves downward...Ch. 11.2 - The elevator E shown starts from rest and moves...Ch. 11.2 - An athlete pulls handle A to the left with a...Ch. 11.2 - An athlete pulls handle A to the left with a...Ch. 11.2 - In the position shown, collar B moves to the left...Ch. 11.2 - Collar A starts from rest and moves to the right...Ch. 11.2 - A farmer lifts his hay bales into the top loft of...Ch. 11.2 - The motor M reels in the cable at a constant rate...Ch. 11.2 - Collar A starts from rest at t = 0 and moves...Ch. 11.2 - Collars A and B start from rest, and collar A...Ch. 11.2 - Block B starts from rest, block A moves with a...Ch. 11.2 - Prob. 11.58PCh. 11.2 - The system shown starts from rest, and each...Ch. 11.2 - Prob. 11.60PCh. 11.3 - A particle moves in a straight line with a...Ch. 11.3 - Prob. 11.62PCh. 11.3 - A particle moves in a straight line with the...Ch. 11.3 - A particle moves in a straight line with the...Ch. 11.3 - A particle moves in a straight line with the...Ch. 11.3 - Prob. 11.66PCh. 11.3 - A commuter train traveling at 40 mi/h is 3 mi from...Ch. 11.3 - Prob. 11.68PCh. 11.3 - In a water-tank test involving the launching of a...Ch. 11.3 - The acceleration record shown was obtained for a...Ch. 11.3 - Prob. 11.71PCh. 11.3 - Prob. 11.72PCh. 11.3 - Prob. 11.73PCh. 11.3 - Car A is traveling on a highway at a constant...Ch. 11.3 - Prob. 11.75PCh. 11.3 - Prob. 11.76PCh. 11.3 - Prob. 11.77PCh. 11.3 - Prob. 11.78PCh. 11.3 - An airport shuttle train travels between two...Ch. 11.3 - Prob. 11.80PCh. 11.3 - Prob. 11.81PCh. 11.3 - The acceleration record shown was obtained during...Ch. 11.3 - Prob. 11.83PCh. 11.3 - Prob. 11.84PCh. 11.3 - An elevator starts from rest and rises 40 m to its...Ch. 11.3 - Two road rally checkpoints A and B are located on...Ch. 11.3 - As shown in the figure, from t = 0 to t = 4 s, the...Ch. 11.3 - Prob. 11.88PCh. 11.4 - Two model rockets are fired simultaneously from a...Ch. 11.4 - Ball A is thrown straight up. 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Prob. 11.126PCh. 11.4 - Coal discharged from a dump truck with an initial...Ch. 11.4 - Conveyor belt A, which forms a 20 angle with the...Ch. 11.4 - During a rainstorm, the paths of the raindrops...Ch. 11.4 - Prob. 11.130PCh. 11.4 - Prob. 11.131PCh. 11.4 - As part of a department store display, a model...Ch. 11.5 - The Ferris wheel is rotating with a constant...Ch. 11.5 - Prob. 11.9CQCh. 11.5 - A child walks across merry-go-round A with a...Ch. 11.5 - Prob. 11.133PCh. 11.5 - Determine the maximum speed that the cars of the...Ch. 11.5 - Human centrifuges are often used to simulate...Ch. 11.5 - The diameter of the eye of a stationary hurricane...Ch. 11.5 - The peripheral speed of the tooth of a...Ch. 11.5 - A robot arm moves so that P travels in a circle...Ch. 11.5 - A monorail train starts from rest on a curve of...Ch. 11.5 - A motorist starts from rest at point A on a...Ch. 11.5 - Race car A is traveling on a straight portion of...Ch. 11.5 - At a given instant in an airplane race, airplane A...Ch. 11.5 - A race car enters the circular portion of a track...Ch. 11.5 - Pin A, which is attached to link AB, is...Ch. 11.5 - A golfer hits a golf ball from point A with an...Ch. 11.5 - A nozzle discharges a stream of water in the...Ch. 11.5 - Coal is discharged from the tailgate A of a dump...Ch. 11.5 - From measurements of a photograph, it has been...Ch. 11.5 - A child throws a ball from point A with an initial...Ch. 11.5 - A projectile is fired from point A with an initial...Ch. 11.5 - Prob. 11.151PCh. 11.5 - Prob. 11.152PCh. 11.5 - 11.153 and 11.154 A satellite will travel...Ch. 11.5 - Prob. 11.154PCh. 11.5 - Prob. 11.155PCh. 11.5 - Prob. 11.156PCh. 11.5 - Prob. 11.157PCh. 11.5 - A satellite will travel indefinitely in a circular...Ch. 11.5 - Knowing that the radius of the earth is 6370 km,...Ch. 11.5 - Satellites A and B are traveling in the same plane...Ch. 11.5 - The angular displacement of the robotic arm is...Ch. 11.5 - During a parasailing ride, the boat is traveling...Ch. 11.5 - Some parasailing systems use a winch to pull the...Ch. 11.5 - As rod OA rotates, pin P moves along the parabola...Ch. 11.5 - The pin at B is free to slide along the circular...Ch. 11.5 - Prob. 11.167PCh. 11.5 - After taking off, a helicopter climbs in a...Ch. 11.5 - At the bottom of a loop in the vertical plane, an...Ch. 11.5 - An airplane passes over a radar tracking station...Ch. 11.5 - Prob. 11.171PCh. 11.5 - Prob. 11.172PCh. 11.5 - 11.173 and 11.174 A particle moves along the...Ch. 11.5 - Prob. 11.174PCh. 11.5 - Prob. 11.175PCh. 11.5 - Prob. 11.176PCh. 11.5 - The motion of a particle on the surface of a right...Ch. 11.5 - Prob. 11.178PCh. 11.5 - The three-dimensional motion of a particle is...Ch. 11.5 - For the conic helix of Prob. 11.95, determine the...Ch. 11 - Students are testing their new drone to see if it...Ch. 11 - A drag racing car starts from rest and moves down...Ch. 11 - A driver is traveling at a speed of 72 km/h in car...Ch. 11 - The velocities of commuter trains A and B are as...Ch. 11 - Knowing that slider block A starts from rest and...Ch. 11 - 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