PEARSON ETEXT ENGINEERING MECH & STATS
15th Edition
ISBN: 9780137514724
Author: HIBBELER
Publisher: PEARSON
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Chapter 14, Problem 40P
To determine
The constant force
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Q2/ The 1-kg slider starts from rest at position 1 and it moves up the incline under the action of
constant force P = 55 N cause the slider to have a speed v2 = 0.5 m/s at position 2. Neglect
friction, and determine the spring constant k. Take the angle 0 = 18°.
200
mm
200
mm
250
mm
250 mm
The initially stationary 12-kg block is subjected to the time-varying force whose magnitude P is shown in the plot. The 30o angle remains constant. Determine the block speed at (a) t = 1 ? and (b) t = 4 ? .
The spring of constant k = 120 N/m is unstretched when the slider of mass m = 1.6 kg passes position B. If the slider is released fre
rest in position A, determine its speed as it passes points B and C. What is the normal force exerted by the guide on the slider at
position C? Neglect friction between the mass and the circular guide, which lies in a vertical plane. The distance R = 0.95 m.
m
B
Answers
Vg =
m/s
Vc=
i
m/s
Nc=
Chapter 14 Solutions
PEARSON ETEXT ENGINEERING MECH & STATS
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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- When s = 0.6 m, the spring is relaxed, and the 10 kg block, which issubjected to a force of 125 N, has a speed of 4 m/s on the smooth plane.Find the distance s when the block stops.arrow_forwardDetermine the speed v which the 520-kg four-man bobsled must have in order to negotiate the turn without reliance on friction. Also find the net normal force N exerted on the bobsled by the track. Answers: V = N = i i 20 -p= 53 m m/s KNarrow_forwardThe 5.27 kg collar B rests on the frictionless arm AA! The collar is held in place by the rope attached to drum D and rotates about O in a horizontal plane. The linear velocity of the collar B is increasing according to v = 0.2 t2 where v is in m/s and tis in seconds. Find the tension in the rope and the force of the bar on .the collar if 5 s,r= 0.558 m and 0 = 58° A A' Darrow_forward
- Determine the speed v which the 555-kg four-man bobsled must have in order to negotiate the turn without reliance on friction. Also find the net normal force N exerted on the bobsled by the track. Answers: V= N = i 30 -p=54 m m/s KNarrow_forwardA constant force of F acts on a mass as shown. The mass starts its motion from rest at position 1, the unstretched lenght of the spring is 250 mm, and the spring modulus is k = 1.5 kN/m. Neglecting the friction, determine the required force F to cause the 2 - kg mass to have a speed of v2 = 1.5 m/s at position 2.arrow_forwardThe slotted arm OA rotates about a fixed axis through O. At the instant under consideration, 0 = 34°, 0 = 43 deg/s, and 0 = 28 deg/s². Determine the magnited of the force F applied by arm OA and the magnitude of the force N applied by the sides of the slot to the 0.6-kg slider B. Neglect all friction, and let L = 0.75 m. The motion occurs in a vertical plane. Part 1 -L B Answer: ay = i m Slider B moves only vertically (the y-direction). Find the acceleration (positive if up, negative if down). B m y m/s²arrow_forward
- The slotted arm OA rotates about a fixed axis through O. At the instant under consideration, 0 = 35%, 0 = 39 deg/s, and Ö = 15 deg/s². Determine the magnited of the force F applied by arm OA and the magnitude of the force N applied by the sides of the slot to the 0.2- kg slider B. Neglect all friction, and let L = 0.68 m. The motion occurs in a vertical plane. 0 -L B marrow_forward3/148 The 1.5-kg slider C moves along the fixed rod under the action of the spring whose unstretched length is 0.3 m. If the velocity of the slider is 2 m/s at point A and 3 m/s at point B, calculate the work U done by friction between these two points. Also, determine the average friction force acting on the slider between A and B if the length of the path is 0.70 m. The x-y plane is horizontal. 1 B 0.3 m 0.4 m $666666666666666 0.4 m k = 800 N/m 1arrow_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
- The spring of constant k is unstretched when the slider of mass m passes position B. If the slider is released from rest in position A, determine its speeds as it passes points B and C. What is the nor- mal force exerted by the guide on the slider at posi- tion C? Neglect friction between the mass and the circular guide, which lies in a vertical plane. R ww R C m Barrow_forwardThe 64.4-lb crate slides down the curved path in the vertical plane. If the crate has a velocity of 3 ft∕sec down the incline at A and a velocity of 0 ft∕sec at B, compute the work Uƒ done on the crate by friction during the motion from A to B.arrow_forwardDetermine the constant force P required to cause the 0.39-kg slider to have a speed v2 = 0.89 m/s at position 2. The slider starts from rest at position 1 and the unstretched length of the spring of modulus k = 210 N/m is 180 mm. Neglect friction.arrow_forward
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