Engineering Mechanics: Statics & Dynamics (14th Edition)
14th Edition
ISBN: 9780133915426
Author: Russell C. Hibbeler
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Question
Chapter 15.2, Problem 3FP
To determine
The speed of the crate when
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
The gears shown in the figure have a diametral pitch of 2 teeth per inch and a 20° pressure angle.
The pinion rotates at 1800 rev/min clockwise and transmits 200 hp through the idler pair to gear
5 on shaft c. What forces do gears 3 and 4 transmit to the idler shaft?
TS
I
y
18T
32T
This
a
12
x
18T
C
48T
5
Question 1. Draw 3 teeth for the following pinion and gear respectively. The teeth
should be drawn near the pressure line so that the teeth from the pinion should
mesh those of the gear. Drawing scale (1:1). Either a precise hand drawing or
CAD drawing is acceptable. Draw all the trajectories of the involute lines and the
circles.
Specification: 18tooth pinion and 30tooth gear. Diameter pitch=P=6 teeth /inch.
Pressure angle:20°, 1/P for addendum (a) and 1.25/P for dedendum (b). For fillet,
c=b-a.
5. The figure shows a gear train. There is no friction at the bearings except for the gear tooth forces.
The material of the milled gears is steel having a Brinell hardness of 170. The input shaft speed (n2)
is 800 rpm. The face width and the contact angle for all gears are 1 in and 20° respectively. In this
gear set, the endurance limit (Se) is 15 kpsi and nd (design factor) is 2.
(a) Find the revolution speed of gear 5.
(b) Determine whether each gear satisfies the design factor of 2.0 for bending fatigue.
(c) Determine whether each gear satisfies the design factor of 2.0 for surface fatigue (contact stress).
(d) According to the computation results of the questions (b) and (c), explain the possible failure
mechanisms for each gear.
N4=28
800rpm
N₁=43
N5=34
N₂=14
P(diameteral pitch)=8 for all gears
Coupled to 2.5hp motor
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
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Similar questions
- 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 Darrow_forward3 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?arrow_forward2. 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…arrow_forward
- The tooth numbers for the gear train illustrated are N₂ = 24, N3 = 18, №4 = 30, №6 = 36, and N₁ = 54. Gear 7 is fixed. If shaft b is turned through 5 revolutions, how many turns will shaft a make? a 5 [6] barrow_forwardCE-112 please solve this problem step by step and give me the correct answerarrow_forwardCE-112 please solve this problem step by step and give me the correct answerarrow_forward
- CE-112 solve this problem step by step and give me the correct answer pleasearrow_forwardPlease do not use any AI tools to solve this question. I need a fully manual, step-by-step solution with clear explanations, as if it were done by a human tutor. No AI-generated responses, please.arrow_forwardPlease do not use any AI tools to solve this question. I need a fully manual, step-by-step solution with clear explanations, as if it were done by a human tutor. No AI-generated responses, please.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
International Edition---engineering Mechanics: St...Mechanical EngineeringISBN:9781305501607Author:Andrew Pytel And Jaan KiusalaasPublisher:CENGAGE L
International Edition---engineering Mechanics: St...
Mechanical Engineering
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:CENGAGE L
Power Transmission; Author: Terry Brown Mechanical Engineering;https://www.youtube.com/watch?v=YVm4LNVp1vA;License: Standard Youtube License