PEARSON ETEXT ENGINEERING MECH & STATS
15th Edition
ISBN: 9780137514724
Author: HIBBELER
Publisher: PEARSON
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Chapter 15, Problem 18P
To determine
The final speed of the crate when t reaches to 3 s and 6 s:
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The 150-lb car of an amusement partk ride is connected to a rotating telescopic boom. When r = 15 ft, the car is moving on a horizontal circular path with a speed of 30 ft/s. If the boom is shortened at a rate of 3 ft/s, determine the speed of the car when r = 10 ft. Also, find the work done by the axial for F along the boom. Neglect the size of the car and the mass of the boom.
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Figure
17
7/8
15
₁ = 2 m/s
1 of 1
Part A
If the car has an initial velocity v₁ = 2m/s at s = 0 and t = 0, determine the distance it moves up the plane when
t = 3 s.
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The horizontal force P = 40-10t N (t is the time measured in seconds) is applied to the 2-
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2 kg-
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At time t = 0, the position coordinate of the collar is x = 0, and its velocity is vo = 3 m/s
directed down the rod. Find the time T and the speed Sof the collar when it returns to the
position x = 0 for the first time. Neglect friction.
Chapter 15 Solutions
PEARSON ETEXT ENGINEERING MECH & STATS
Ch. 15 - The 0.5kg ball strikes the rough ground and...Ch. 15 - Prob. 2FPCh. 15 - Prob. 3FPCh. 15 - The wheels of the 1.5-Mg car generate the traction...Ch. 15 - Prob. 5FPCh. 15 - If the coefficient of kinetic friction between the...Ch. 15 - Prob. 3PCh. 15 - Each of the cables can sustain a maximum tension...Ch. 15 - Crates A and B weigh 100 lb and 50 lb,...Ch. 15 - Prob. 8P
Ch. 15 - Prob. 9PCh. 15 - During operation the jack hammer strikes the...Ch. 15 - For a short period of time, the frictional driving...Ch. 15 - The 2.5-Mg van is traveling with a speed of 100...Ch. 15 - Prob. 14PCh. 15 - The towing force acting on the 400-kg safe varies...Ch. 15 - Prob. 18PCh. 15 - Prob. 19PCh. 15 - If it takes 35 s for the 50-Mg tugboat to increase...Ch. 15 - Prob. 23PCh. 15 - The balloon has a total mass of 400 kg including...Ch. 15 - Prob. 26PCh. 15 - Prob. 30PCh. 15 - Prob. 7FPCh. 15 - The cart and package have a mass of 20 kg and 5...Ch. 15 - The 5-kg block A has an initial speed of 5 m/s as...Ch. 15 - Prob. 10FPCh. 15 - Prob. 11FPCh. 15 - The cannon and support without a projectile have a...Ch. 15 - The 5-Mg bus B is traveling to the right at 20...Ch. 15 - Prob. 36PCh. 15 - A railroad car having a mass of 15 Mg is coasting...Ch. 15 - A ballistic pendulum consists of a 4-kg wooden...Ch. 15 - Prob. 39PCh. 15 - Prob. 43PCh. 15 - Prob. 44PCh. 15 - Prob. 45PCh. 15 - The 30-Mg freight car A and 15-Mg freight car B...Ch. 15 - Blocks A and B have masses of 40 kg and 60 kg,...Ch. 15 - Block A has a mass of 5 kg and is placed on the...Ch. 15 - Solve Prob. 15-53 if the coefficient of kinetic...Ch. 15 - Prob. 56PCh. 15 - Prob. 13FPCh. 15 - Prob. 14FPCh. 15 - The 30-lb package A has a speed of 5 ft/s when it...Ch. 15 - The ball strikes the smooth wall with a velocity...Ch. 15 - Prob. 17FPCh. 15 - Prob. 18FPCh. 15 - Prob. 58PCh. 15 - Prob. 59PCh. 15 - Prob. 61PCh. 15 - Prob. 62PCh. 15 - Prob. 63PCh. 15 - Prob. 64PCh. 15 - A 1-lb ball A is traveling horizontally at 20 ft/s...Ch. 15 - Prob. 69PCh. 15 - Prob. 73PCh. 15 - Two smooth disks A and B each have a mass of 0.5...Ch. 15 - Prob. 75PCh. 15 - The cue ball A is given an initial velocity (vA)1...Ch. 15 - Prob. 78PCh. 15 - Prob. 79PCh. 15 - A ball of negligible size and mass m is given a...Ch. 15 - Prob. 81PCh. 15 - The 20-lb box slides on the surface for which k =...Ch. 15 - Prob. 84PCh. 15 - Prob. 85PCh. 15 - Prob. 90PCh. 15 - Prob. 92PCh. 15 - Disks A and B have a mass of 15 kg and 10 kg,...Ch. 15 - Prob. 19FPCh. 15 - Prob. 20FPCh. 15 - Initially the 5-kg block is moving with a constant...Ch. 15 - Prob. 22FPCh. 15 - Prob. 23FPCh. 15 - Prob. 24FPCh. 15 - Determine the angular momentum HO of the 6-lb...Ch. 15 - Determine the angular momentum HP of the 6-lb...Ch. 15 - Prob. 96PCh. 15 - Determine the angular momentum Hp, of each of the...Ch. 15 - Prob. 98PCh. 15 - Determine the angular momentum Hp of the 3-kg...Ch. 15 - The 800-lb roller-coaster car starts from rest on...Ch. 15 - The 800-lb roller-coaster car starts from rest on...Ch. 15 - If the rod of negligible mass is subjected to a...Ch. 15 - The amusement park ride consists of a 200-kg car...Ch. 15 - An earth satellite of mass 700 kg is launched into...Ch. 15 - Prob. 115PCh. 15 - Prob. 116PCh. 15 - Prob. 119PCh. 15 - The gauge pressure of water at A is 150.5 kPa....Ch. 15 - Prob. 121PCh. 15 - The fountain shoots water in the direction shown....Ch. 15 - A plow located on the front of a locomotive scoops...Ch. 15 - Prob. 124PCh. 15 - Water is discharged from a nozzle with a velocity...Ch. 15 - Prob. 127PCh. 15 - Prob. 128PCh. 15 - Sand drops onto the 2-Mg empty rail car at 50 kg/s...Ch. 15 - Prob. 133PCh. 15 - A rocket has an empty weight of 500 lb and carries...Ch. 15 - Prob. 135PCh. 15 - Prob. 138PCh. 15 - The missile weighs 40 000 lb. The constant thrust...Ch. 15 - Prob. 140PCh. 15 - Prob. 1RPCh. 15 - Prob. 2RPCh. 15 - Prob. 3RPCh. 15 - Prob. 4RPCh. 15 - The 200-g projectile is fired with a velocity of...Ch. 15 - Block A has a mass of 3 kg and is sliding on a...Ch. 15 - Two smooth billiard balls A and B have an equal...Ch. 15 - Prob. 8RP
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- 8) A block weighing 50-kg is being pulled up the incline as shown below. The coefficient of kinetic friction between the block and the surface of the incline is 0.4. If the block is initially moving up the plane at 2m/s and at this instant (t = 0) the motor develops a tension in the cord of T = (300 + 120vt) Newtons, where t is time in seconds. Determine the velocity of the block at t = 2s. Motor V=2 m/s 30arrow_forwardThe initially stationary 100-lb block is subjected to the time-varying force whose magnitude P is shown in the plot. Determine the speed v of the block at times t = 1, 3, 5, and 7 sec. Note that the force P is zero after t= 6 sec.arrow_forwardThe conveyor belt delivers each 12-kg crate to the ramp at A such that the crate’s speed is vA = 2.5 m>s,directed down along the ramp. If the coefficient of kinetic friction between each crate and the ramp is mk = 0.3,determine the smallest incline u of the ramp so that the crates will slide off and fall into the cartarrow_forward
- At the instant shown the 2.3 kg collar is moving to the left on the horizontal shaft with a speed of 5.7 m/s that is increasing at a rate of 4.3 m/s/s in spite of the 11 N friction force between the collar and shaft. Determine the force of the spring in N. Assume s = 4.0 m, h = 2.2. Express the result in N.arrow_forwardThe cars of an amusement park ride have a speed va = 17 m/s at A and a speed vg = 10 m/s at B. If a 87-kg rider sits on a spring scale (which registers the normal force exerted on it), determine the scale readings as the car passes points A and B. Assume that the person's arms and legs do not support appreciable force. UB 47 m B VA 24 m Aarrow_forwardGiven: The 40 kg crate is moving downward at 10 m/s. The motor M pulls on the cable with a force of F, which has a magnitude that varies as shown on the graph. F (N) 450 B 150 t (s) 6. Find: The speed of the crate when t = 6 s.arrow_forward
- The 5-lb collar slides on the smooth rod, so that when it is at 4 it has a speed of 10 ft/s. If the spring to which it is attached has an unstretched length of 3 ft. and a stiffness of k = 10 lb/ft, determine the normal force on the collar and the acceleration of the collar at this instant. Solution: 2 ft 10 ft/sarrow_forwardThe 50-lb crate is subjected to the force F = 40 lb. The coefficient of kinetic friction between the crate and the ground is µk = 0.2. If the crate is initially moving to the right with a velocity of 3 ft/s, determine A) The speed of the block when t = 8 s. B) The power developed by force F at t = 8 s.arrow_forward3arrow_forward
- 4. The 5-lb collar slides on the smooth rod, so that when it is at A is has a speed of 10 ft/s. If the spring to which it is attached has an unstretched length of 3 ft and a stiffness of k = 16 lb/ft, determine the normal force on the collar and the acceleration of the collar at this instant. 10 ft/s cy =8-arrow_forwardThe 5.5kg block hits the spring with a speed of 3.9m/s. Determine the total distance traveled by the block before it comes to a permanent stop. Use k=2.7 N/m and the coefficients of friction are shown in figurearrow_forwardA roller coaster car has a mass of 600 kg when fully loaded with passengers. If the car has a speed of 20 m/sec at point A, what is the maximum speed the car can have at B and still remain on the track?arrow_forward
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