Solutions manual vector mechanics for engineers dynamics 9th edition

The traffic light is timed to stay red for 24 s. If the motorist wishes to pass the light without stopping just as it turns green again, determine a the required uniform deceleration of the car, b the speed of the car as it passes the light. From the odometer in the car, the motorist knows that she traveled ft while accelerating.

Based on tracking data, they determine that the altitude of the rocket was The package has a uniform acceleration of 4. If the velocity of the package at D is 7. He hands the baton to runner B 1. Determine a the uniform acceleration of each of the runners, b when runner B should begin to run. Knowing that automobile A has a constant acceleration of 1.

Knowing that A passes Point Q 40 s after B was there and that B passes Point P 42 s after A was there, determine a the uniform accelerations of A and B, b when the vehicles pass each other, c the speed of B at that time.

Determine a when the ball will hit the elevator, b where the ball will hit the elevator with respect to the location of the man. The ball undergoes uniformly accelerated motion. The two rockets are timed to explode simultaneously at a height of m as A is falling and B is rising.

Determine a the velocity of the cable C, b the velocity of the counterweight W, c the relative velocity of the cable C with respect to the elevator, d the relative velocity of the counterweight W with respect to the elevator.

If the counterweight W moves through 30 ft in 5 s, determine a the acceleration of the elevator and the cable C, b the velocity of the elevator after 5 s.

Determine a the velocity of block B, b the velocity of portion D of the cable, c the relative velocity of portion C of the cable with respect to portion D. Knowing that after slider block A has moved 9 in. Determine a the velocity of slider block A, b the velocity of portion C of the cable, c the velocity of portion D of the cable, d the relative velocity of portion C of the cable with respect to slider block A.

Then, using Eq. Knowing that after 8 s the relative velocity of collar B with respect to collar A is 24 in. Determine a the velocity of load L, b the velocity of pulley B with respect to load L. Let xM be the position of a point on the cable about to enter the reel driven by the motor. Knowing that block B has a constant velocity of 3 in.

Knowing that block B moves up with a constant velocity of 3 in. Each component moves with a constant acceleration, and after 2 s the relative change in position of block C with respect to block A is mm upward. The velocity of the bed is limited to a maximum value of 6 in. Knowing that the parachutist lands with a negligible downward velocity, determine a the time required for the parachutist to land after opening his parachute, b the initial deceleration.

Knowing that the train arrives at the station 7. The maximum velocities of the slider are 12 in. When the slider is moving to the right, it accelerates and decelerates at a constant rate of 6 in.

Then vright 12 in. The time axis is not drawn to scale. Runner B reaches her maximum velocity vB in 5 s with constant acceleration and maintains that velocity until she reaches the half-way point with a split time of Both runners then run the second half of the race with the same constant deceleration of 0.

Determine a the race times for both runners, b the position of the winner relative to the loser when the winner reaches the finish line. The driver of the car wants to pass the truck, i. What is the maximum speed reached? Car B accelerates uniformly and enters the main traffic lane after traveling ft in 5 s.

Determine the final distance between the two cars. Determine when the ball will hit the elevator. Note that the initial slope of the curve for the elevator is 1. The time t1 is the time when vE reaches 7. Note that the magnitude of the slope of each inclined portion of the curve is 0. Note that the magnitude of the slope of each portion of the curve is 4. Determine by approximate means a the initial velocity of the piston rod, b the distance traveled by the piston rod as it is brought to rest.

As the arresting gear of the carrier brings the airplane to rest, the velocity and the acceleration of the airplane are recorded; the results are shown solid curve in the figure. Determine by approximate means a the time required for the airplane to come to rest, b the distance traveled in that time. Using Eq. 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 Cutsem, Costas Vournas — 1st Edition. Structural Analysis — Russell C. Hibbeler — 3rd Edition. The main objective of a first course in mechanics should be to develop in the engineering student the ability to analyze any problem in a simple and logical manner and to apply to its solution a few, well-understood, basic principles.

This text is designed for the first courses in statics and dynamics offered in the sophomore or junior year, and it is hoped that it will help the instructor achieve this goal. Vector Mechanics for Engineers: Dynamics provides conceptually accurate and thorough coverage, and its problem-solving methodology gives students the best opportunity to learn dynamics.

This new edition features a significantly refreshed problem set, chapter openers with real-life examples, outlines previewing objectives and sample problems. Featured book. Wolfgang Bauer 0 5, Milo D. Koretsky 0 6, Randall D. Knight 0 3, George Odian 0 2, John Kenkel 0 1, Trott 0 Carl S. Warren 2 4, Warren 0 Abraham Silberschatz 1 3, Frederick S. Hillier 1 8, William Stallings 1 9, Morris Mano 1 7, David Irwin 0 1, Morris Mano 0 2, Michael F.

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