Engineering Mechanics: Statics & Dynamics (14th Edition)
14th Edition
ISBN: 9780133915426
Author: Russell C. Hibbeler
Publisher: PEARSON
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Chapter 15.4, Problem 61P
To determine
The maximum compression of the spring due to the collision:
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The 20-lb box slides on the surface for which μ = 0.3. The
box has a velocity v = 15 ft/s when it is 2 ft from the plate.
If it strikes the smooth plate, which has a weight of 10 lb
and is held in position by an unstretched spring of stiffness
k = 400 lb/ft, determine the maximum compression
imparted to the spring. Take e = 0.8 between the box and
the plate. Assume that the plate slides smoothly.
v = 15 ft/s
2 ft
The 18-kg block A slides on the surface for which μk = 0.3. The block has a velocity v = 10 m/s when it is s = 4 m from the 11-kg block B. The unstretched spring has a stiffness k = 1200 N/m . Take e = 0.6. The coefficient of friction is the same for both blocks.
The 4-kg box slides on the smooth surface and has a velocity of 15 m/s. If it strikes the smooth
plate, which has a weight of 2 kg and is held in position by an unstretched spring of stiffness
k = 600 N/m, determine the maximum compression imparted to the spring. Take e = 0.7 between
the box and the plate.
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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- The 6-lb box slides on the surface for which u: = 0.3. The box has a velocity v = 15 ft /s when it is 2 ft from the plate. v = 15 ft /s 2 ft Part A If the box strikes the smooth plate, which has a weight of 23 lb and is held in position by an unstretched spring of stiffness k = 340 lb /ft, determine the maximum compression imparted to the spring. Take e = 0.8 between the box and the plate. Assume that the plate slides smoothly. Express your answer using three significant figures and include the appropriate units. ANSWER: x =arrow_forwardThe 15-kg block A slides on the surface for which μk = 0.3.The block has a velocity v = 12 m/s when it is s = 3 m from the 11-kg block B. The unstretched spring has a stiffness k = 1200 N/m . Take e = 0.6. The coefficient of friction is the same for both blocks. a) Determine the maximum compression of the spring due to the collision. xmax = ?arrow_forward400 mm The spring attached to the mass of m = 0. 5 kg sliding collar has a stiffness of k = 0.21 kN/m and a free length of 150 mm. If the speed of the collar in position A is 4 m/s to the right, determine the total energy and the speed of the collar in position B, Neglecet 100 mm friction. 200arrow_forward
- If the 7.25-kg block is moving with an initial speed of 6.5m/s and the coefficient of kinetic friction between the block and plane is µ = 0.25, determine the compression in the spring when the block momentarily stops. Assume a = 1.75m and the spring constant k₁ = 205 N/m. B a mana Aarrow_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_forwardThe 56.28 kg crate is hoisted up the 0 = 27° incline by the pulley system and motor M. If the crate starts from rest and, by constant acceleration, attains a speed of 8.17 m/s after traveling 7.84 m along the plane, determine the supplied power to the motor if the crate has moved 8 m and the coefficient of kinetic friction between the plane and the crate is Hk = 0.3. Neglect friction along the plane. The motor has an efficiency of 0.691. Marrow_forward
- The box having a weight of 40 N is moving to the right along a roughsurface. When the package is at point A, its speed is 5m/s. The spring ofstiffness k=200 N/m brings the box to rest. It is known that the frictionbetween the box and the surface is 0.3, determine the maximum force inthe spring. Neglect the mass of the end plate attached to the spring.arrow_forwardThe 50 kg block is resting on a surface for which the coefficient of kinetic friction is k = 0.2. A spring is attached to the block and the spring is originally at its neutral position. A force F = (500s +500) N, where s is in m, is exerted to a block as shown. Determine the speed of the block at s = 1 m. k = 50 N/marrow_forwardThe 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_forward
- The 12-lb box slides on the surface for which pux=0.3. The box has a velocity u = 15 ft/ s when it is 2 ft from the plate. (Figure 1) If the box strikes the smooth plate, which has a weight of 25 lb and is held in position by an unstretched spring of stiffness & = 360 lb / ft, determine the maximum compression imparted to the spring. Take e = 0.8 between the box and the plate. Assume that the plate slides smoothly. Express your answer using three significant figures and include the appropriate units. x=? v = 15 ft /s k 2 ftarrow_forwardThe slider block B is confined to move within the smooth slot. It is connected to two springs, each of which has a stiffness of k 0.5 m when s = 0 as shown. Determine the maximum distance, smax, block B moves after it is hit by block A which is originally traveling at (vA) = 8 m/s. Take e the mass of each block to be 1.5 kg. 30 N/m. They are originally stretched 0.4 and the mass of each block to be 1.5 kgarrow_forwardThe 100 kg crate is subjected to forces F1= 800 N and F2= 1500 kN, as shown. If it is originally at rest, determine the distance it slides in order to attain a speed of v= 6 m/s. The coefficient of kinetic friction between the crate and the surface is Muk= 0.2arrow_forward
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