Engineering Mechanics: Statics & Dynamics (14th Edition)
14th Edition
ISBN: 9780133915426
Author: Russell C. Hibbeler
Publisher: PEARSON
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Chapter 15.9, Problem 8RP
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The speed of cylinder when
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Determine the magnitude of the resultant force acting on a 5-kg particle at the instant t = 2 s, if the particle is moving along a horizontal path defined by the equations r = (2t + 10) m and u = (1.5t2 - 6t) rad, where t is in seconds.
If the rod of negligible mass is subjected to a couple moment of M = (30t^2) N⋅⋅m, and the engine of the car supplies a traction force of F = (15t) N to the wheels, where t is in seconds, determine the speed of the car at the instant t = 12.5 s. The car starts from rest. The total weight of the car and rider is 1.5 kN. Neglect the size of the car.
Determine the constant force “f” w/c must be applied to the cord in order to cause the 39lb block to have a speed of 22 ft/a when it has been displaced 0.5 ft upward starting from the rest.
Chapter 15 Solutions
Engineering Mechanics: Statics & Dynamics (14th Edition)
Ch. 15.2 - Determine the impulse of the force for t = 2 s.Ch. 15.2 - The 0.5kg ball strikes the rough ground and...Ch. 15.2 - Prob. 2FPCh. 15.2 - Prob. 3FPCh. 15.2 - The wheels of the 1.5-Mg car generate the traction...Ch. 15.2 - Prob. 5FPCh. 15.2 - A man kicks the 150-g ball such that it leaves the...Ch. 15.2 - If the coefficient of kinetic friction between the...Ch. 15.2 - Prob. 3PCh. 15.2 - Each of the cables can sustain a maximum tension...
Ch. 15.2 - A hockey puck is traveling to the left with a...Ch. 15.2 - A train consists of a 50-Mg engine and three cars,...Ch. 15.2 - Crates A and B weigh 100 lb and 50 lb,...Ch. 15.2 - Prob. 8PCh. 15.2 - Prob. 9PCh. 15.2 - The 50-kg crate is pulled by the constant force P....Ch. 15.2 - During operation the jack hammer strikes the...Ch. 15.2 - For a short period of time, the frictional driving...Ch. 15.2 - The 2.5-Mg van is traveling with a speed of 100...Ch. 15.2 - Prob. 14PCh. 15.2 - Prob. 15PCh. 15.2 - The choice of a seating material for moving...Ch. 15.2 - The towing force acting on the 400-kg safe varies...Ch. 15.2 - Prob. 18PCh. 15.2 - Prob. 19PCh. 15.2 - Prob. 20PCh. 15.2 - If it takes 35 s for the 50-Mg tugboat to increase...Ch. 15.2 - Prob. 22PCh. 15.2 - Prob. 23PCh. 15.2 - The motor pulls on the cable at A with a force F =...Ch. 15.2 - The balloon has a total mass of 400 kg including...Ch. 15.2 - Prob. 26PCh. 15.2 - Prob. 27PCh. 15.2 - Prob. 28PCh. 15.2 - Prob. 29PCh. 15.2 - Prob. 30PCh. 15.2 - Prob. 31PCh. 15.2 - Prob. 32PCh. 15.2 - The log has a mass of 500 kg and rests on the...Ch. 15.2 - Prob. 34PCh. 15.2 - Prob. 7FPCh. 15.2 - The cart and package have a mass of 20 kg and 5...Ch. 15.3 - The 5-kg block A has an initial speed of 5 m/s as...Ch. 15.3 - Prob. 10FPCh. 15.3 - Prob. 11FPCh. 15.3 - The cannon and support without a projectile have a...Ch. 15.3 - The 5-Mg bus B is traveling to the right at 20...Ch. 15.3 - Prob. 36PCh. 15.3 - A railroad car having a mass of 15 Mg is coasting...Ch. 15.3 - A ballistic pendulum consists of a 4-kg wooden...Ch. 15.3 - Prob. 40PCh. 15.3 - A 0.03-lb bullet traveling at 1300 ft/s strikes...Ch. 15.3 - A 0.03-lb bullet traveling at 1300 ft/s strikes...Ch. 15.3 - Prob. 43PCh. 15.3 - Prob. 44PCh. 15.3 - Prob. 45PCh. 15.3 - The two blocks A and B each have a mass of 5 kg...Ch. 15.3 - The 30-Mg freight car A and 15-Mg freight car B...Ch. 15.3 - Blocks A and B have masses of 40 kg and 60 kg,...Ch. 15.3 - Prob. 49PCh. 15.3 - Prob. 50PCh. 15.3 - Prob. 51PCh. 15.3 - The free-rolling ramp has a mass of 40 kg. A 10-kg...Ch. 15.3 - Block A has a mass of 5 kg and is placed on the...Ch. 15.3 - Solve Prob. 15-53 if the coefficient of kinetic...Ch. 15.3 - Prob. 55PCh. 15.3 - Prob. 56PCh. 15.3 - The 10-kg block is held at rest on the smooth...Ch. 15.3 - Prob. 13FPCh. 15.3 - Prob. 14FPCh. 15.4 - The 30-lb package A has a speed of 5 ft/s when it...Ch. 15.4 - The ball strikes the smooth wall with a velocity...Ch. 15.4 - Prob. 17FPCh. 15.4 - Prob. 18FPCh. 15.4 - Prob. 58PCh. 15.4 - Prob. 59PCh. 15.4 - Disk A has a mass of 2 kg and is sliding forward...Ch. 15.4 - Prob. 61PCh. 15.4 - Prob. 62PCh. 15.4 - Prob. 63PCh. 15.4 - Prob. 64PCh. 15.4 - A 1-lb ball A is traveling horizontally at 20 ft/s...Ch. 15.4 - Block A, having a mass m, is released from rest,...Ch. 15.4 - Prob. 67PCh. 15.4 - Prob. 68PCh. 15.4 - Prob. 69PCh. 15.4 - Prob. 70PCh. 15.4 - Prob. 71PCh. 15.4 - The tennis ball is struck with a horizontal...Ch. 15.4 - Prob. 73PCh. 15.4 - Two smooth disks A and B each have a mass of 0.5...Ch. 15.4 - Prob. 75PCh. 15.4 - Prob. 76PCh. 15.4 - The cue ball A is given an initial velocity (vA)1...Ch. 15.4 - Prob. 78PCh. 15.4 - Prob. 79PCh. 15.4 - A ball of negligible size and mass m is given a...Ch. 15.4 - Prob. 81PCh. 15.4 - The 20-lb box slides on the surface for which k =...Ch. 15.4 - Prob. 83PCh. 15.4 - Prob. 84PCh. 15.4 - Prob. 85PCh. 15.4 - Prob. 86PCh. 15.4 - Prob. 87PCh. 15.4 - Prob. 88PCh. 15.4 - Prob. 89PCh. 15.4 - Prob. 90PCh. 15.4 - The 200-g billiard ball is moving with a speed of...Ch. 15.4 - Prob. 92PCh. 15.4 - Disks A and B have a mass of 15 kg and 10 kg,...Ch. 15.4 - Prob. 19FPCh. 15.4 - Prob. 20FPCh. 15.7 - Initially the 5-kg block is moving with a constant...Ch. 15.7 - Prob. 22FPCh. 15.7 - Prob. 23FPCh. 15.7 - Prob. 24FPCh. 15.7 - Determine the angular momentum HO of the 6-lb...Ch. 15.7 - Determine the angular momentum HP of the 6-lb...Ch. 15.7 - Prob. 96PCh. 15.7 - Determine the angular momentum Hp, of each of the...Ch. 15.7 - Prob. 98PCh. 15.7 - Determine the angular momentum Hp of the 3-kg...Ch. 15.7 - Each ball has a negligible size and a mass of 10...Ch. 15.7 - The 800-lb roller-coaster car starts from rest on...Ch. 15.7 - The 800-lb roller-coaster car starts from rest on...Ch. 15.7 - A 4-lb ball B is traveling around in a circle of...Ch. 15.7 - A 4-lb ball B is traveling around in a circle of...Ch. 15.7 - The two blocks A and B each have a mass of 400 g....Ch. 15.7 - A small particle having a mass m is placed inside...Ch. 15.7 - If the rod of negligible mass is subjected to a...Ch. 15.7 - When the 2-kg bob is given a horizontal speed of...Ch. 15.7 - The elastic cord has an unstretched length l0 =...Ch. 15.7 - The amusement park ride consists of a 200-kg car...Ch. 15.7 - Prob. 111PCh. 15.7 - Prob. 112PCh. 15.7 - An earth satellite of mass 700 kg is launched into...Ch. 15.7 - Prob. 114PCh. 15.9 - Prob. 115PCh. 15.9 - Prob. 116PCh. 15.9 - Prob. 117PCh. 15.9 - Prob. 118PCh. 15.9 - Prob. 119PCh. 15.9 - The gauge pressure of water at A is 150.5 kPa....Ch. 15.9 - Prob. 121PCh. 15.9 - The fountain shoots water in the direction shown....Ch. 15.9 - A plow located on the front of a locomotive scoops...Ch. 15.9 - Prob. 124PCh. 15.9 - Water is discharged from a nozzle with a velocity...Ch. 15.9 - Prob. 126PCh. 15.9 - Prob. 127PCh. 15.9 - Prob. 128PCh. 15.9 - The water flow enters below the hydrant at C at...Ch. 15.9 - Sand drops onto the 2-Mg empty rail car at 50 kg/s...Ch. 15.9 - Prob. 131PCh. 15.9 - Prob. 132PCh. 15.9 - Prob. 133PCh. 15.9 - A rocket has an empty weight of 500 lb and carries...Ch. 15.9 - Prob. 135PCh. 15.9 - The rocket car has a mass of 2 Mg (empty) and...Ch. 15.9 - Prob. 137PCh. 15.9 - Prob. 138PCh. 15.9 - The missile weighs 40 000 lb. The constant thrust...Ch. 15.9 - Prob. 140PCh. 15.9 - Prob. 141PCh. 15.9 - The 12-Mg jet airplane has a constant speed of 950...Ch. 15.9 - Prob. 143PCh. 15.9 - Prob. 144PCh. 15.9 - Prob. 145PCh. 15.9 - Prob. 146PCh. 15.9 - Prob. 147PCh. 15.9 - Prob. 148PCh. 15.9 - Prob. 149PCh. 15.9 - Prob. 1CPCh. 15.9 - Prob. 2CPCh. 15.9 - Prob. 1RPCh. 15.9 - Prob. 2RPCh. 15.9 - Prob. 3RPCh. 15.9 - Prob. 4RPCh. 15.9 - The 200-g projectile is fired with a velocity of...Ch. 15.9 - Block A has a mass of 3 kg and is sliding on a...Ch. 15.9 - Two smooth billiard balls A and B have an equal...Ch. 15.9 - Prob. 8RP
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- Determine the magnitude of the resultant force acting on a 5-kg particle at the instant t = 2 s, if the particle is moving along a horizontal path defined by the equations r = (2t + 10) m and theta = (1.5t^2 - 6t) rad, where t is in seconds.arrow_forwardThe two spheres each have a mass of 3 kg and are attached to the rod of negligible mass. If a torque M = (6e0.2t )Nm, where t is in seconds, is applied to the rod as shown, determine the speed of each of the spheres in 2s, starting from rest.arrow_forwardThe 50-kg crate is hoisted up the 30o incline by the pulley system and motor M. If the crate starts from rest and by constant acceleration attains a speed of 9.5 m/s after traveling 11.5 m along the plane, determine the power in kW that must be supplied to the motor at this instant. Neglect friction along the plane. The motor has an efficiency ϵ = 0.53.arrow_forward
- If the ball has a mass of 40 kg and a speed of 5 m/s at the instant it is at the lowest point (θ (angle) = 0o), (a) determine the tension in the cord at this instant. (b) Also, when θ= 30o, determine the tension in the cord.arrow_forwardA mine car has a mass m = 250 kg and it is hoisted up theincline using the cable and motor M.The force in the cable is F(t) = 1050 + (45)(t^2) , N where t is inseconds.If the car has an initial velocity V1 =3 m/s at s = 0 and t = 0. 1) What is the velocity of the car when t = 3 s. 2) What is the distance it moves up the plane when t = 3 s.arrow_forwardThe 10-lb block has a speed of 4 ft/s when the force of F = (8t2) lb is applied. Determine the velocity of the block when it moves s = 30 ft. The coefficient of kinetic friction at the surface is ms = 0.2.arrow_forward
- The block has a mass of 40 kg and rests on the surface of the cart having a mass of 78 kg If the spring which is attached to the cart and not the block is compressed 0.2 m and the system is released from rest, determine the speed of the block with respect to the cart after the spring becomes undeformed. Neglect the mass of the wheels and the spring in the calculation. Also neglect friction. Take k = 310 N/marrow_forwardThe 10-lb block has a speed of 4 ft/s when the force of F= (8t^2) lbf is applied.Determine the velocity of the block when t= 2 s. The coefficient of kinetic friction at the surfaceis uk = 0.2arrow_forwardDetermine the potential energy of the block that has a weight of 100 N.arrow_forward
- The 55 -lb crate is given a speed of 12ft/s in t=4 s starting from rest. The acceleration is constant. The motor has an efficiency ε=0.65 . Neglect the mass of the pulley and cable. (Figure 1 ) Determine the power that must be supplied to the motor when t=2 s . Express your answer in units of horsepower to three significant figures. (Gpt/ai wrong answer not allowed)arrow_forwardThe 2.4-Mg car increases its speed uniformly from rest to 22 m/s in 38 s up the inclined road. (a) Determine the maximum power that must be supplied by the engine, which operates with an efficiency of ϵ = 0.8. Express your answer with the appropriate units. (b) Also, find the average power supplied by the engine. Express your answer with the appropriate units. Please use watts, not Mw for final answer.arrow_forwardThe 10 kg block is subject to the action of a force that has the constant direction towards the spring, with a magnitude F= 250 (1 + x) N, where x is measured in meters. If the coefficient of kinetic friction between the block and the horizontal surface is 0.20, and ks= 50 N/m Use the springs por your calculations Determine: a) The work done by all the forces acting on the block during a movement from A to B. b) If the block starts from rest at point A, determine its velocity at point B using the equation of motion (Newton's 2nd Law). c) Verify the speed obtained in b) through the equation of work and Kinetic Energy. d) Explain the differences between the two methods used to find the velocity, from the point of view of the volume of calculations. Recomendations: 1. No force (except weight) is constant throughout travel 2. Acceleration is not constant at any point along the way. 3. When applying Newton's second law, it is advisable to do it in two sections. 4. Review the…arrow_forward
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