
Engineering Mechanics: Statics & Dynamics (14th Edition)
14th Edition
ISBN: 9780133915426
Author: Russell C. Hibbeler
Publisher: PEARSON
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Chapter 14.4, Problem 61P
To determine
The power generated by the jet as a function of time.
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1. The rotating steel shaft is simply supported by bearings at points of B and C, and is driven by a spur
gear at D, which has a 6-in pitch diameter. The force F from the drive gear acts at a pressure angle of
20°. The shaft transmits a torque to point A of TA =3000 lbĘ in. The shaft is machined from steel with
Sy=60kpsi and Sut=80 kpsi.
(1) Draw a shear force diagram and a bending moment diagram by F. According to your analysis, where is
the point of interest to evaluate the safety factor among A, B, C, and D? Describe the reason. (Hint: To find
F, the torque Tд is generated by the tangential force of F (i.e. Ftangential-Fcos20°)
When n=2.5, K=1.8, and K₁ =1.3, determine the diameter of the shaft based on
(2) static analysis using DE theory (note that fatigue stress concentration factors need to be used for this
question because the loading condition is fatigue) and
(3) a fatigue analysis using modified Goodman.
Note) A standard diameter is not required for the questions.
10 in
D
3
N2=28
P(diametral pitch)=8 for all gears
Coupled to 25 hp motor
N3=34
Full depth spur gears with pressure angle=20°
N₂=2000 rpm
(1) Compute the circular pitch, the center-to-center distance, and base circle radii.
(2) Draw the free body diagram of gear 3 and show all the forces and the torque.
(3) In mounting gears, the center-to-center distance was reduced by 0.1 inch.
Calculate the new values of center-to-center distance, pressure angle, base circle radii,
and pitch circle diameters.
(4)What is the new tangential and radial forces for gear 3?
(5) Under the new center to center distance, is the contact ratio (mc) increasing or
decreasing?
2. A flat belt drive consists of two 4-ft diameter cast-iron pulleys spaced 16 ft apart.
A power of 60 hp is transmitted by a pulley whose speed is 380 rev/min. Use a
service factor (Ks) pf 1.1 and a design factor 1.0. The width of the polyamide A-3
belt is 6 in. Use CD=1. Answer the following questions.
(1) What is the total length of the belt according to the given geometry?
(2) Find the centrifugal force (Fc) applied to the belt.
(3) What is the transmitted torque through the pulley system given 60hp?
(4) Using the allowable tension, find the force (F₁) on the tight side. What is the
tension at the loose side (F2) and the initial tension (F.)?
(5) Using the forces, estimate the developed friction coefficient (f)
(6) Based on the forces and the given rotational speed, rate the pulley set. In other
words, what is the horse power that can be transmitted by the pulley system?
(7) To reduce the applied tension on the tight side, the friction coefficient is
increased to 0.75. Find out the…
Chapter 14 Solutions
Engineering Mechanics: Statics & Dynamics (14th Edition)
Ch. 14.3 - Determine the work of the force when it displaces...Ch. 14.3 - Determine the kinetic energy of the 10-kg block.Ch. 14.3 - Prob. 1FPCh. 14.3 - If the motor exerts a constant force of 300 N on...Ch. 14.3 - If the motor exerts a force of F = (600 + 2s2) N...Ch. 14.3 - The 1.8-Mg dragster is traveling at 125 m/s when...Ch. 14.3 - When s = 0.5 m, the spring is unstretched and the...Ch. 14.3 - The 5-lb collar is pulled by a cord that passes...Ch. 14.3 - The 20-kg crate is subjected to a force having a...Ch. 14.3 - Prob. 2P
Ch. 14.3 - The crate, which has a mass of 100 kg, is...Ch. 14.3 - The 100-kg crate is subjected to the forces shown....Ch. 14.3 - Determine the required height h of the roller...Ch. 14.3 - When the driver applies the brakes of a light...Ch. 14.3 - Prob. 7PCh. 14.3 - Prob. 8PCh. 14.3 - The air spring A is used to protect the support B...Ch. 14.3 - The force F, acting in a constant direction on the...Ch. 14.3 - The force of F= 50 N is applied to the cord when s...Ch. 14.3 - Design considerations for the bumper B on the 5-Mg...Ch. 14.3 - The 2-lb brick slides down a smooth roof, such...Ch. 14.3 - Block A has a weight of 60 lb and block B has a...Ch. 14.3 - The two blocks A and B have weights WA = 60 lb and...Ch. 14.3 - A small box of mass m is given a speed of v=14gr...Ch. 14.3 - Prob. 17PCh. 14.3 - Prob. 18PCh. 14.3 - If the cord is subjected to a constant force of F=...Ch. 14.3 - The crash cushion for a highway barrier consists...Ch. 14.3 - Prob. 21PCh. 14.3 - The 25-lb block has an initial speed of v0 = 10...Ch. 14.3 - The 8-Kg block is moving with an initial speed of...Ch. 14.3 - At a given instant the 10-lb block A is moving...Ch. 14.3 - Prob. 25PCh. 14.3 - The catapulting mechanism is used to propel the...Ch. 14.3 - Prob. 27PCh. 14.3 - The 1 0-lb box falls off the conveyor belt at...Ch. 14.3 - Prob. 29PCh. 14.3 - The 30-lb box A is released from rest and slides...Ch. 14.3 - Prob. 31PCh. 14.3 - The block has a mass of 0.8 kg and moves within...Ch. 14.3 - The 10-lb block is pressed against the spring so...Ch. 14.3 - The spring bumper is used to arrest the motion of...Ch. 14.3 - When the 150-lb skier is at point A he has a speed...Ch. 14.3 - The spring has a stiffness k = 50 lb/ ft and an...Ch. 14.3 - Prob. 37PCh. 14.3 - If the 60-kg skier passes point A with a speed of...Ch. 14.3 - Prob. 39PCh. 14.3 - Prob. 40PCh. 14.3 - Prob. 41PCh. 14.4 - If the contact surface between the 20-kg block and...Ch. 14.4 - Prob. 8FPCh. 14.4 - Prob. 9FPCh. 14.4 - Prob. 10FPCh. 14.4 - Prob. 11FPCh. 14.4 - Prob. 12FPCh. 14.4 - The jeep has a weight of 2500 lb and an engine...Ch. 14.4 - Determine the power Input for a motor necessary to...Ch. 14.4 - An automobile having a mass of 2 Mg travels up a 7...Ch. 14.4 - Prob. 45PCh. 14.4 - To dramatize the loss of energy in an automobile,...Ch. 14.4 - Escalator steps move with a constant speed of 0.6...Ch. 14.4 - Prob. 48PCh. 14.4 - Prob. 49PCh. 14.4 - Determine the power output of the draw-works motor...Ch. 14.4 - The 1000-lb elevator is hoisted by the pulley...Ch. 14.4 - The 50-lb crate is given a speed of 10ft/s in t =...Ch. 14.4 - The sports car has a mass of 2.3 Mg, and while it...Ch. 14.4 - Prob. 54PCh. 14.4 - Prob. 55PCh. 14.4 - The 10-lb collar starts from rest at A and is...Ch. 14.4 - Prob. 57PCh. 14.4 - The 50-lb block rests on the rough surface for...Ch. 14.4 - The escalator steps move with a constant speed of...Ch. 14.4 - If the escalator in Prob.14-46 is not moving,...Ch. 14.4 - Prob. 61PCh. 14.4 - Prob. 62PCh. 14.4 - Prob. 63PCh. 14.4 - Prob. 64PCh. 14.5 - The block has a mass of 150 kg and rests on a...Ch. 14.5 - Prob. 3PPCh. 14.5 - Prob. 4PPCh. 14.5 - The 2-kg pendulum bob is released from rest when...Ch. 14.5 - Prob. 14FPCh. 14.5 - Prob. 15FPCh. 14.5 - Prob. 16FPCh. 14.5 - The 75-lb block is released from rest 5 ft above...Ch. 14.5 - Prob. 18FPCh. 14.5 - The girl has a mass of 40 kg and center of mass at...Ch. 14.5 - The 30-lb block A is placed on top of two nested...Ch. 14.5 - The 5-kg collar has a velocity of 5 m/s to the...Ch. 14.5 - The 5-kg collar has a velocity of 5 m/s to the...Ch. 14.5 - The ball has a weight of 15 lb and is fixed to a...Ch. 14.5 - Prob. 71PCh. 14.5 - The roller coaster car has a mass of 700 kg,...Ch. 14.5 - The roller coaster car has a mass of 700 kg,...Ch. 14.5 - The assembly consists of two blocks A and B which...Ch. 14.5 - Prob. 75PCh. 14.5 - Prob. 76PCh. 14.5 - The roller coaster car having a mass m is released...Ch. 14.5 - The spring has a stiffness k = 200 N/m and an...Ch. 14.5 - Prob. 79PCh. 14.5 - Prob. 80PCh. 14.5 - When s = 0, the spring on the firing mechanism is...Ch. 14.5 - If the mass of the earth is Me, show that the...Ch. 14.5 - A rocket of mass m is fired vertically from the...Ch. 14.5 - The 4-kg smooth collar has a speed of 3 m/s when...Ch. 14.5 - Prob. 85PCh. 14.5 - The skier starts from rest at A and travels down...Ch. 14.5 - Prob. 87PCh. 14.5 - Prob. 88PCh. 14.5 - When the 6-kg box reaches point A it has a speed...Ch. 14.5 - Prob. 90PCh. 14.5 - Prob. 91PCh. 14.5 - The roller coaster car has a speed of 15 ft/s when...Ch. 14.5 - The 10-kg sphere C is released from rest when =...Ch. 14.5 - Prob. 94PCh. 14.5 - The cylinder has a mass of 20 kg and is released...Ch. 14.5 - Prob. 96PCh. 14.5 - A pan of negligible mass is attached to two...Ch. 14.5 - Prob. 1CPCh. 14.5 - Prob. 1RPCh. 14.5 - The small 2-lb collar starting from rest at A...Ch. 14.5 - Prob. 3RPCh. 14.5 - Prob. 4RPCh. 14.5 - Prob. 5RPCh. 14.5 - Prob. 6RPCh. 14.5 - Prob. 7RPCh. 14.5 - Prob. 8RP
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