The object is initially at rest and is again at rest at time t1. Using the method of section CQ3 Two model rockets are fired simultaneously from a ledge and follow the trajectories shown. Neglecting air resistance, which of the rockets will hit the ground first? Since A has a larger initial velocity in this direction it will take longer to hit the ground. CQ4 Ball A is thrown straight up.
Which of the following statements about the ball are true at the highest point in its path? The acceleration is never zero. CQ5 Ball A is thrown straight up with an initial speed v0 and reaches a maximum elevation h before falling back down. When A reaches its maximum elevation, a second ball is thrown straight upward with the same initial speed v0. At what height, y, will the balls cross paths? So, the time it will take to travel the last half of the distance to the apex will be longer than the time it takes for the first half.
This same argument can be made for the ball falling from the maximum elevation. It will be speeding up, so the first half of the distance will take longer than the second half.
Therefore, the balls should cross above the half-way point. CQ6 Two cars are approaching an intersection at constant speeds as shown. What velocity will car B appear to have to an observer in car A? CQ7 Blocks A and B are released from rest in the positions shown.
Plot as shown. Determine the values of t for which the position vector and the acceleration are a perpendicular, b parallel. Determine the magnitudes of the velocity and acceleration of the particle. The space curve described by the particle is a conic helix. Determine the distance d at which the pilot should release the water so that it will hit the fire at B. Vertical motion. The part lands 6. Determine a the distance d between Points A and B, b the initial height h. Determine the range of values of v0 if the newspaper is to land between Points B and C.
Determine the range of values of the distance d for which the water will enter the trough BC. If the initial velocity of the milk is 1. Determine a if the ball will clear the top of the net, b how far from the net the ball will land.
Determine the range of values of v0 if the balls are to land between Points B and C. Place the origin of the xy-coordinate system at ground level just below Point A.
Determine the range for which of v0 for which the ball will land in the service area which extends to 6. Place the origin of the xy-coordinate system at ground level just below the point where the racket impacts the ball. Determine the range of values of the initial velocity for which the water will land on the grinding wheel between Points B and C.
If the height of the ball at Point B is 0. If the water is discharged with an initial velocity v0 of It then follows from Eq. Determine the velocity of A with respect to B. Knowing that the speed of each automobile is constant, determine a the relative velocity of B with respect to A, b the change in position of B with respect to A during a 4-s interval, c the distance between the two automobiles 2 s after A has passed through the intersection.
Auto A travels for 2 s. Determine the velocity of the river. Note that because A is moving downward, B must be moving upward relative to A. An alternative method is as follows. The ball rises to a maximum height of 8 m above the release point and the boy must step forward a distance d to catch it at the same height as the release point. Determine a the distance d, b the relative velocity of the ball with respect to the deck when the ball is caught.
Knowing that a worker tosses duffel bag B with an initial velocity of 2. If the train were stopped, at what angle and with what velocity would the drops be observed to fall? Assuming that the wind velocity is constant during the period of observation, determine the magnitude and direction of the true wind velocity. Determine the speed and the direction of the wind. With vW now defined, the above diagram is redrawn for the two cases for clarity. What is the direction of the acceleration of Point A?
CQ9 A racecar travels around the track shown at a constant speed. At which point will the racecar have the largest acceleration? The normal acceleration will be maximum where the radius of curvature is a minimum, that is at Point A. CQ10 A child walks across merry-go-round A with a constant speed u relative to A.
When the child is at the center of A, as shown, what is the direction of his acceleration when viewed from above. Denoting by vA the velocity of Point A, derive an expression for a the angular velocity of the rod, b the velocity of end B. Law of sines. We draw lines perpendicular to vA and vB to locate the instantaneous center C. Knowing that the speed of A is 1. Only portions of the two tracks are shown.
Let Point P be the contact point between the disk and the incline. It is the instantaneous center of the disk. Knowing that the angular velocity of crank DE is 1.
Knowing that D is stationary and that the velocity of A is 30 in. Link AB: Draw the configuration. Knowing that B moves to the left with a constant velocity of 24 in. Knowing that Point D moves to the left with a velocity of 40 in.
Hint: The body centrode need not lie on a physical portion of the rod. These axes are fixed in space. Place origin at A. Since the instantaneous center always lies on the fixed lower rack, the space centrode is the lower rack. BC CD 0. CQ7 A rear wheel drive car starts from rest and accelerates to the left so that the tires do not slip on the road. What is the direction of the acceleration of the point on the tire in contact with the road, that is, Point A?
As the beam approaches the ground, the crane operators apply brakes to slow down the unwinding motion. Determine a the angular acceleration of the beam, b the acceleration of Point C. Knowing that the angular velocity of the beam is zero at the instant considered, determine the acceleration of each cable. Determine the acceleration a of Point G, b of Point B.
Velocity analysis. For the position shown, determine a the angular acceleration of rod AB, b the acceleration of the midpoint G of rod AB. Acceleration analysis. Knowing that the diameter of the wheel is mm, determine the acceleration a of Point B, b of Point C, c of Point D.
Knowing that at the instant shown the center of the shaft has a velocity of 1. Let Point G be the center of the shaft and Point C be the point of contact with the rails. Point C is the instantaneous center of the wheel and shaft since that point does not slip on the rails.
Knowing that at the instant shown end D of the cord has a velocity of 8 in. Knowing that at the instant shown the carriage has an acceleration of 2. Instantaneous centers are at points of contact with floor. Knowing that at a given instant the velocity and acceleration of the center A of the drum are as shown, determine the acceleration of Point D.
Point A moves on a path parallel to the belt. The path is assumed to be straight. Since the belt moves at constant velocity, this component of acceleration is zero. Knowing that gear A has a constant angular velocity of rpm clockwise and that the outer gear E is stationary, determine the magnitude of the acceleration of the tooth of gear D that is in contact with a gear A, b gear E. Let P be the point where the disk contacts the flat surface.
Knowing that rod BD is 10 in. Units: inches, in. Knowing that OA has a radius of 0. Using the method of Section Knowing that rod CD moves vertically upward with a constant velocity v0, derive an expression for a the angular velocity of arm AB, b the components of the velocity of Point A; and c an expression for the angular acceleration of arm AB. Knowing that the yoke moves vertically upward with a constant velocity v0, derive expression for the angular velocity and angular acceleration of rod AB.
The curve described by Point P is a hypocycloid. Derive expressions for the corresponding velocity and acceleration of P at any time t. CQ8 A person walks radially inward on a platform that is rotating counterclockwise about its center.
Knowing that at the instant considered the rods rotate clockwise with constant angular velocities, determine for the given data the velocity of pin P. For the given data, determine for the position shown a the angular velocity of the rod attached at B, b the relative velocity of slider block P with respect to the rod on which it slides.
AP BP 8 in. Determine at the instant shown a the angular velocity of bar BD, b the relative velocity of collar D with respect to rod EF. Sliding on rotating rod EF with relative velocity u. Slides on rotating rod EF with relative velocity u. When the plate is at rest, each pin has a velocity directed as shown and of the same constant magnitude u.
Acceleration of the pin relative to the plate. Determine a the velocity of D, b the acceleration of D. Determine a the velocity of Point B, b the acceleration of Point B. Links 1 and 2. Links 3 and 4. At the instant shown the veolcity and acceleration of the ankle is zero. During a jump, the velocity of the ankle A is zero, the tibia AK has an angular velocity of 1.
Determine the relative angular velocity and angular acceleration of the femur KH with respect to AK so that the velocity and acceleration of H are both straight up at the instant shown. Acceleration of collar P. PDF File: Vector. No part of this Manual may be displayed, reproduced or distributed in any form or by any means, without the prior written permission of the publisher, or used beyond the limited distribution to teachers and educators permitte d by McGraw-Hill for their individual course preparation.
Principles and applications of electrical engineering rizzoni solution manual Problem 2. Mon, 08 Oct Chemical principles 6th edition solutions manual The Student's Solutions Manual follows the problem-solving structure set out in the main text, An introduction to probability and statistics rohatgi solution manual Introduction To Probability And Statistics Milton Solutions Pdf provide online for Skip to the content Home November 13 Vector mechanics for engineers 10th edition solution manual pdf.
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