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Determine the distance the ball is from the origin 2 s after being released from rest. All rights reserved. This publication is protected by Copyright and written permission should be obtained from the publisher prior to any prohibited reproduction, storage in a retrieval system, or transmission in any form or by any means, electronic, mechanical, photocopying, recording, or likewise.

This publication is protected by. Copyright and written permission should be obtained from the publisher prior to any prohibited reproduction, storage in a retrieval system, or transmission in any form or by any means, electronic, mechanical, photocopying, recording, or likewise. Wide Dissemination. States World permitted instructors not of the and. The coefficient of The water-park ride consists of an lb sled which slides from rest down the incline and then into the pool.

If the frictional resistance on the incline is Fr. Copyright and written permission should be obtained from the publisher prior to any prohibited reproduction, storage in a retrieval system, or transmission in any form or by any means, electronic, mechanical,. The acceleration a of the crate is also assumed to be directed up the plane, Fig. This publication is protected by Copyright and written permission should be obtained from the publisher prior to any prohibited reproduction, storage in a retrieval system, or transmission in any form or by any means, electronic, mechanical,.

If the kg crate starts from rest and travels a distance of 6 m up the plane in 4 s, determine the magnitude of force P acting on the crate. The coefficient of kinetic friction between the.

Kinematics: Here, the acceleration a of the crate will be determined first since its motion is known. The speed of the lb sports car is plotted over the s time period. Plot the variation of the traction force F needed to cause the motion. From FBD b ,. The safe S has a weight of lb and is supported by the rope and pulley arrangement shown. Neglect the mass of the pulleys and rope. Equation of Motion: The tension T developed in the cord is the same throughout the entire cord since the cord passes over the smooth pulleys.

The boy having a weight of 80 lb hangs uniformly from the bar. The bullet of mass m is given a velocity due to gas pressure caused by the burning of powder within the chamber of the gun.

Also, determine the position of the bullet in the barrel as a function of time. Determine the constant horizontal force developed in the coupling C, and the frictional force developed between the tires of the truck and the road during this time.

The total mass of the boat and trailer is 1 Mg. Free-Body Diagram:The free-body diagram of the truck and trailer are shown in Figs. Here, F representes the frictional force developed when the truck skids, while the force developed in coupling C is represented by T. A freight elevator, including its load, has a mass of kg.

It is prevented from rotating by the track and wheels mounted along its sides. If it starts from rest, determine the constant acceleration of the elevator and the tension in the cable.

Neglect the mass of the pulleys, motor, and cables. The man pushes on the lb crate with a force F. The double inclined plane supports two blocks A and B, each having a weight of 10 lb. Applying Eq. A lb suitcase slides from rest 20 ft down the smooth ramp. Determine the point where it strikes the ground at C.

How long does it take to go from A to C? The kg mine car is hoisted up the incline using the cable and motor M. This publication is protected by Copyright and written permission should be obtained from the publisher prior to any prohibited reproduction, storage in a retrieval sys tem, or transmission in any form or by any means, electronic, mechanical,.

Determine the required mass of block A so that when it is released from rest it moves the 5-kg block B a distance of 0. Neglect the mass of the pulleys and cords. The crate has a mass of 20 kg, and the coefficient of kinetic friction between the crate and the. The crate has a mass of 20 kg and the coefficient of kinetic friction between the crate and the ground.

The 2-kg shaft CA passes through a smooth journal bearing at B. Initially, the springs, which are coiled loosely around the shaft, are unstretched when no force is applied to the shaft. The ends of the springs are attached to the bearing at B and the caps at C and A. If the uniform beam AB has a weight of lb, determine the components of reaction at the fixed support A.

Neglect the size and mass of the pulley at B. Hint: First find the tension in the cable, then analyze the forces in the beam using statics. The driver attempts to tow the crate using a rope that has a tensile strength of lb.

Since T 6 lb, the cord will not break at the moment the crate slides. After the crate begins to slide, the kinetic friction is used for the calculation. The force exerted by the motor on the cable is shown in the graph.

Equilibrium: For the crate to move, force F must overcome the weight of the crate. For information regarding permission s , write to:. The force of the motor M on the cable is shown in the graph. Equilibrium: For the crate to move, force 2F must overcome its weight.

Thus, the time required to move the crate is given by. For 1. The tractor is used to lift the kg load B with the m-long rope, boom, and pulley system. This publication is protected by Copyright and written permission should be obtained from the publisher prior to any prohibited reproduction, storage in a retrieval system,. The tractor is used to lift the kg load B with the mlong rope, boom, and pulley system.

Each of the two blocks has a mass m. The coefficient of kinetic friction at all surfaces of contact is m. If a horizontal force P moves the bottom block, determine the acceleration of the bottom block in each case. The 2-lb collar C fits loosely on the smooth shaft. Cylinder B has a mass m and is hoisted using the cord and pulley system shown. If the coefficient of kinetic friction between. Assume that no tipping occurs.

The engine of the van produces a constant driving traction force F at the wheels as it ascends the slope at a constant velocity v. Determine the acceleration of the van when it passes point A and begins to travel on a level road, provided that it maintains the same traction force. By referring to Fig. The 2-kg collar C is free to slide along the smooth shaft AB. Copyright and written permission should be obtained from the publisher prior to any prohibited reproduction, storage i n a retrieval system, or transmission in any form or by any means, electronic, mechanical, photocopying, recording, or likewise.

When the blocks are released, determine their acceleration and the tension of the cable. Neglect the mass of the pulley.

Here, a. Since the cable passes over the smooth pulleys, the tension in the cable remains constant throughout. Free-Body Diagram: The frictional force F is required to act to the left to oppose the motion of the crate which is to the right. Equations of Motion: Here, ay. Blocks A and B each have a mass m. Determine the largest horizontal force P which can be applied to B so that A will not move relative to B.

All surfaces are smooth. Determine the largest horizontal force P which can be applied to B so that A will not slip on B. The coefficient of static friction between A and.

A parachutist having a mass m opens his parachute from an atrest position at a very high altitude. What is his velocity when he lands on the ground? This velocity is referred to as the terminal velocity, which is found by letting the time of fall t : q. The smooth block B of negligible size has a mass m and rests on the horizontal plane. If the board AC pushes on the. If the liquid develops a frictional or drag resistance on the projectile which is proportional to its velocity, i.

Determine the distance d the pan should be pushed down from the equilibrium position and then released from rest so that separation of the block will take place from the surface of the pan at the instant the spring becomes unstretched. The 2-kg block B and kg cylinder A are connected to a light cord that passes through a hole in the center of the smooth table. Here, a must be directed towards the center of the circular path positive n axis.

The 5-kg collar A is sliding around a smooth vertical guide rod. Determine the normal reaction of the guide rod on the collar, and force P at this instant. Determine the smallest radius of curvature, r, for the conveyor so the cartons do not slip.

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