EBK ENGINEERING MECHANICS
15th Edition
ISBN: 9780137569830
Author: HIBBELER
Publisher: VST
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Chapter 14, Problem 80P
To determine
The speed of the ball and the normal reaction of the circular track on the ball
when
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The super-container vessel has a total mass displacement of 23000 long tons. This vessel towed by a tugboat with α=20⁰ angle with horizontal. If a constant tension is applied as F=320 kN by the tugboat, please calculate the time to bring the vessel to a speed of 2 knot from the rest. At these low speeds, please neglect the hull resistance that created by the motion.
Note: (1 long tons = 1016.05 kg, 1 knot=1.151 mi/hr= 0.5144 m/s)
The 750-mm-long spring is compressed by the plate P, which can slide freely on the 600-
mm-long vertical bars. The 55.6-kg block is given a velocity of v = 5 m/s when it is x = 2 m
above the plate. Determine how far the plate travels down when the block stops
momentarily after hitting it. Neglect the mass of the plate.
v = 5 m/s
P
k = 25 kN/m-
A
h = 2m
600 mm
Chapter 14 Solutions
EBK ENGINEERING MECHANICS
Ch. 14 - Prob. 1FPCh. 14 - If the motor exerts a constant force of 300 N on...Ch. 14 - If the motor exerts a force of F = (600 + 2s2) N...Ch. 14 - The 1.8-Mg dragster is traveling at 125 m/s when...Ch. 14 - When s = 0.5 m, the spring is unstretched and the...Ch. 14 - The 5-lb collar is pulled by a cord that passes...Ch. 14 - Prob. 2PCh. 14 - The 100-kg crate is subjected to the forces shown....Ch. 14 - Determine the required height h of the roller...Ch. 14 - When the driver applies the brakes of a light...
Ch. 14 - Prob. 7PCh. 14 - The force F, acting in a constant direction on the...Ch. 14 - The 2-lb brick slides down a smooth roof, such...Ch. 14 - The two blocks A and B have weights WA = 60 lb and...Ch. 14 - A small box of mass m is given a speed of v=14gr...Ch. 14 - Prob. 18PCh. 14 - If the cord is subjected to a constant force of F=...Ch. 14 - The crash cushion for a highway barrier consists...Ch. 14 - The 25-lb block has an initial speed of v0 = 10...Ch. 14 - At a given instant the 10-lb block A is moving...Ch. 14 - Prob. 25PCh. 14 - The catapulting mechanism is used to propel the...Ch. 14 - Prob. 27PCh. 14 - Prob. 31PCh. 14 - When the 150-lb skier is at point A he has a speed...Ch. 14 - Prob. 39PCh. 14 - Prob. 40PCh. 14 - If the contact surface between the 20-kg block and...Ch. 14 - Prob. 8FPCh. 14 - Prob. 9FPCh. 14 - Prob. 10FPCh. 14 - Prob. 11FPCh. 14 - Prob. 12FPCh. 14 - The jeep has a weight of 2500 lb and an engine...Ch. 14 - Determine the power Input for a motor necessary to...Ch. 14 - An automobile having a mass of 2 Mg travels up a 7...Ch. 14 - Prob. 45PCh. 14 - To dramatize the loss of energy in an automobile,...Ch. 14 - Escalator steps move with a constant speed of 0.6...Ch. 14 - Prob. 48PCh. 14 - The 1000-lb elevator is hoisted by the pulley...Ch. 14 - The sports car has a mass of 2.3 Mg, and while it...Ch. 14 - Prob. 54PCh. 14 - Prob. 55PCh. 14 - The 50-lb block rests on the rough surface for...Ch. 14 - The 2-kg pendulum bob is released from rest when...Ch. 14 - Prob. 14FPCh. 14 - Prob. 15FPCh. 14 - Prob. 16FPCh. 14 - The 75-lb block is released from rest 5 ft above...Ch. 14 - Prob. 18FPCh. 14 - The girl has a mass of 40 kg and center of mass at...Ch. 14 - The 30-lb block A is placed on top of two nested...Ch. 14 - The 5-kg collar has a velocity of 5 m/s to the...Ch. 14 - The 5-kg collar has a velocity of 5 m/s to the...Ch. 14 - Prob. 71PCh. 14 - The roller coaster car has a mass of 700 kg,...Ch. 14 - The roller coaster car has a mass of 700 kg,...Ch. 14 - Prob. 76PCh. 14 - The roller coaster car having a mass m is released...Ch. 14 - The spring has a stiffness k = 200 N/m and an...Ch. 14 - Prob. 79PCh. 14 - Prob. 80PCh. 14 - When s = 0, the spring on the firing mechanism is...Ch. 14 - If the mass of the earth is Me, show that the...Ch. 14 - A rocket of mass m is fired vertically from the...Ch. 14 - The 4-kg smooth collar has a speed of 3 m/s when...Ch. 14 - Prob. 85PCh. 14 - Prob. 87PCh. 14 - Prob. 90PCh. 14 - The roller coaster car has a speed of 15 ft/s when...Ch. 14 - Prob. 1RPCh. 14 - The small 2-lb collar starting from rest at A...Ch. 14 - Prob. 3RPCh. 14 - Prob. 4RPCh. 14 - Prob. 5RPCh. 14 - Prob. 6RPCh. 14 - Prob. 7RPCh. 14 - 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_forwardSolve it correctly please. Iarrow_forwardThe small car, which has a mass of 21.7 kg, rolls freely on the horizontal track and carries the 4.4-kg sphere mounted on the light rotating rod with r = 0.56 m. A geared motor drive maintains a constant angular speed 0 = 2.8 rad/s of the rod. If the car has a velocity v = 0.45 m/s when 0 = 0, calculate v when = 53°. Neglect the mass of the wheels and any friction. Answer: When 8 = 53°, v = i m/sarrow_forward
- The 4,450kg truck is traveling at 30.50m/s when the brakes on all its wheels are applied, causing it to skid for a distance of 22m before coming to rest. Calculate the constant horizontal force developed in the coupling C, as well as the frictional force developed between the tires of the truck and the road during this time. The combined mass of the boat and trailer is 2,250kgarrow_forwardWhen s = 55 cm, the spring is unstretched and the 9-kg block has a speed of 6.19 m/s down the smooth plane. If the coefficient of kinetic friction between the surface and the block is 0.25, find the distance (mm) s at which the block stops. k = 208 N/m 6.19 m/s F = 118 N 30arrow_forwardThe collar with mass of 0.9 kg is released from rest at position A and travels down the smooth circular rod in the vertical plane. The spring has a stiffness of k = 140 A and an unstretched length of 0.5 meters. Consider т R= 1.5 meters, 0 = 28°, and g = 10 . Determine the work done by the spring force on the collar (in Joules) during the motion from point A to point C. A m R/2 D Carrow_forward
- (only handwritten neat answer please)arrow_forwardThe ball of mass m is guided along the vertical circular path r = 4cos(0)meters using the arm OA. If the arm has a constant angular velocity Ô00 = 1rad/s determine the angle 0 < 45° at which the ball starts to leave the surface of the semicylinder. Neglect friction and the size of the ball. Enter the angle in degrees in the box below.arrow_forwardThe steel ingot has a mass of 1940 kg. It travels along the conveyor at a speed v= 0,2 m/s when it collides with the "nested" spring assembly. If the stiffness of the outer spring is Ka= 5 kN/m, determine the required stiffness Kb of the inner spring so that the motion of the ingot is stopped at the moment the front, C, of the ingot is 0.3 m from the wall. (Answer in kN/m) 0.5 m -0.45 m kB k Barrow_forward
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