Engineering Mechanics: Dynamics
8th Edition
ISBN: 9781118885840
Author: James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher: WILEY
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Chapter 6.7, Problem 156P
To determine
Determine the torsional stiffness that will allow a steady deflection.
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Chapter 6 Solutions
Engineering Mechanics: Dynamics
Ch. 6.4 - Prob. 1PCh. 6.4 - In Prob. 6/1, if the plate is given a horizontal...Ch. 6.4 - The driver of a pickup truck accelerates from rest...Ch. 6.4 - A passenger car of an overhead monorail system is...Ch. 6.4 - The uniform box of mass m slides down the rough...Ch. 6.4 - The uniform slender bar of mass m and length L is...Ch. 6.4 - Prob. 7PCh. 6.4 - The frame is made from uniform rod which has a...Ch. 6.4 - Prob. 9PCh. 6.4 - Determine the value of P which will cause the...
Ch. 6.4 - The uniform 5-kg bar AB is suspended in a vertical...Ch. 6.4 - Prob. 12PCh. 6.4 - Prob. 13PCh. 6.4 - Prob. 14PCh. 6.4 - Prob. 15PCh. 6.4 - Prob. 16PCh. 6.4 - The 1650-kg car has its mass center at G....Ch. 6.4 - Prob. 18PCh. 6.4 - A cleated conveyor belt transports solid...Ch. 6.4 - The thin hoop of negligible mass and radius r...Ch. 6.4 - Determine the magnitude P and direction θ of the...Ch. 6.4 - The mine skip has a loaded mass of 2000 kg and is...Ch. 6.4 - The block A and attached rod have a combined mass...Ch. 6.4 - The homogeneous rectangular plate weighs 40 lb and...Ch. 6.4 - A jet transport with a landing speed of 200 km/h...Ch. 6.4 - Prob. 26PCh. 6.4 - Prob. 27PCh. 6.4 - The 30,000-lb concrete pipe section is being...Ch. 6.4 - Determine the maximum counterweight W for which...Ch. 6.4 - The 1800-kg rear-wheel-drive car accelerates...Ch. 6.4 - The experimental Formula One race car is traveling...Ch. 6.4 - Two pulleys are fastened together to form an...Ch. 6.4 - The uniform 20-kg slender bar is pivoted at O and...Ch. 6.4 - The figure shows an overhead view of a...Ch. 6.4 - The uniform 100-kg beam is freely hinged about its...Ch. 6.4 - The motor M is used to hoist the 12,000-lb stadium...Ch. 6.4 - Prob. 38PCh. 6.4 - Each of the two drums and connected hubs of 8-in....Ch. 6.4 - Determine the angular acceleration and the force...Ch. 6.4 - The uniform 5-kg portion of a circular hoop is...Ch. 6.4 - The 30-in. slender bar weighs 20 lb and is mounted...Ch. 6.4 - The half ring of mass m and radius r is welded to...Ch. 6.4 - The uniform plate of mass m is released from rest...Ch. 6.4 - The uniform slender bar AB has a mass of 8 kg and...Ch. 6.4 - Prob. 46PCh. 6.4 - Prob. 47PCh. 6.4 - Prob. 48PCh. 6.4 - Prob. 49PCh. 6.4 - Prob. 50PCh. 6.4 - Prob. 51PCh. 6.4 - Prob. 52PCh. 6.4 - Prob. 53PCh. 6.4 - Prob. 54PCh. 6.4 - The solid cylindrical rotor B has a mass of 43 kg...Ch. 6.4 - Prob. 56PCh. 6.4 - Prob. 57PCh. 6.4 - The uniform slender bar is released from rest in...Ch. 6.4 - Prob. 59PCh. 6.4 - Prob. 61PCh. 6.4 - The uniform steel I-beam has a mass of 300 kg and...Ch. 6.4 - The gear train shown operates in a horizontal...Ch. 6.4 - Prob. 64PCh. 6.4 - Prob. 65PCh. 6.4 - Prob. 66PCh. 6.4 - The uniform 72-ft mast weighs 600 lb and is hinged...Ch. 6.4 - The robotic device consists of the stationary...Ch. 6.4 - Prob. 69PCh. 6.4 - Prob. 70PCh. 6.5 - The uniform slender bar rests on a smooth...Ch. 6.5 - The 64.4-lb solid circular disk is initially at...Ch. 6.5 - Prob. 73PCh. 6.5 - Prob. 74PCh. 6.5 - Prob. 75PCh. 6.5 - Prob. 76PCh. 6.5 - Prob. 77PCh. 6.5 - Determine the angular acceleration of each of the...Ch. 6.5 - The solid homogeneous cylinder is released from...Ch. 6.5 - The 30-kg spool of outer radius ro = 450 mm has a...Ch. 6.5 - Repeat Prob. 6/80 for the case where the cable...Ch. 6.5 - The fairing which covers the spacecraft package in...Ch. 6.5 - Prob. 83PCh. 6.5 - Prob. 85PCh. 6.5 - The system of Prob. 6/20 is repeated here. If the...Ch. 6.5 - Prob. 87PCh. 6.5 - Prob. 88PCh. 6.5 - Prob. 89PCh. 6.5 - Prob. 90PCh. 6.5 - Prob. 91PCh. 6.5 - The truck, initially at rest with a solid...Ch. 6.5 - Prob. 93PCh. 6.5 - The uniform rectangular 300-lb plate is held in...Ch. 6.5 - Prob. 96PCh. 6.5 - Prob. 97PCh. 6.5 - Prob. 98PCh. 6.5 - The yo-yo has a mass m and a radius of gyration k...Ch. 6.5 - Prob. 100PCh. 6.5 - Prob. 101PCh. 6.5 - Prob. 102PCh. 6.5 - Prob. 103PCh. 6.5 - Prob. 104PCh. 6.5 - The connecting rod AB of a certain...Ch. 6.5 - Prob. 107PCh. 6.5 - The four-bar mechanism lies in a vertical plane...Ch. 6.5 - The Ferris wheel at an amusement park has an even...Ch. 6.6 - The slender rod of mass m and length l has a...Ch. 6.6 - The log is suspended by the two parallel 5-m...Ch. 6.6 - The assembly is constructed of homogeneous slender...Ch. 6.6 - Prob. 114PCh. 6.6 - Prob. 115PCh. 6.6 - The uniform semicircular bar of radius r = 75 mm...Ch. 6.6 - The homogeneous rectangular crate weighs 250 lb...Ch. 6.6 - The 24-lb disk is rigidly attached to the 7-lb bar...Ch. 6.6 - The two wheels of Prob. 6/78, shown again here,...Ch. 6.6 - The 15-kg slender bar OA is released from rest in...Ch. 6.6 - The light circular hoop of radius r contains a...Ch. 6.6 - Prob. 122PCh. 6.6 - The figure shows an impact tester used in studying...Ch. 6.6 - Prob. 124PCh. 6.6 - Prob. 125PCh. 6.6 - Prob. 126PCh. 6.6 - Prob. 127PCh. 6.6 - The uniform 40-lb bar with attached 12-lb wheels...Ch. 6.6 - Prob. 129PCh. 6.6 - The wheel consists of a 4-kg rim of 250-mm radius...Ch. 6.6 - The uniform slender bar ABC weighs 6 lb and is...Ch. 6.6 - Prob. 133PCh. 6.6 - The system is released from rest when the angle θ...Ch. 6.6 - The uniform 12-lb disk pivots freely about a...Ch. 6.6 - Prob. 137PCh. 6.6 - Prob. 138PCh. 6.6 - Prob. 139PCh. 6.6 - Prob. 140PCh. 6.6 - Prob. 141PCh. 6.6 - Prob. 142PCh. 6.6 - The homogeneous solid semicylinder is released...Ch. 6.6 - A small experimental vehicle has a total mass m of...Ch. 6.6 - Prob. 147PCh. 6.6 - The open square frame is constructed of four...Ch. 6.7 - The load of mass m is supported by the light...Ch. 6.7 - The uniform slender bar of mass m is shown in its...Ch. 6.7 - Prob. 151PCh. 6.7 - Prob. 152PCh. 6.7 - Prob. 153PCh. 6.7 - The load of mass m is given an upward acceleration...Ch. 6.7 - The cargo box of the food-delivery truck for...Ch. 6.7 - The sliding block is given a horizontal...Ch. 6.7 - Prob. 157PCh. 6.7 - Prob. 158PCh. 6.7 - Prob. 159PCh. 6.7 - Prob. 160PCh. 6.7 - The mechanical tachometer measures the rotational...Ch. 6.7 - Prob. 162PCh. 6.7 - Prob. 163PCh. 6.7 - Prob. 164PCh. 6.7 - Prob. 165PCh. 6.7 - Prob. 166PCh. 6.9 - Prob. 167RPCh. 6.9 - Prob. 168RPCh. 6.9 - Prob. 169RPCh. 6.9 - The frame of mass m is welded together from...Ch. 6.9 - Prob. 171RPCh. 6.9 - The cable drum has a mass of 800 kg with radius of...Ch. 6.9 - Prob. 173RPCh. 6.9 - Prob. 174RPCh. 6.9 - Prob. 175RPCh. 6.9 - Prob. 176RPCh. 6.9 - Prob. 177RPCh. 6.9 - The wad of clay of mass m is initially moving with...Ch. 6.9 - Prob. 179RPCh. 6.9 - Prob. 180RPCh. 6.9 - Prob. 181RPCh. 6.9 - Prob. 182RPCh. 6.9 - Prob. 183RPCh. 6.9 - Two small variable-thrust jets are actuated to...Ch. 6.9 - Prob. 185RPCh. 6.9 - Each of the two 300-mm uniform rods A has a mass...Ch. 6.9 - Prob. 187RPCh. 6.9 - The slender bar of mass m and length l is released...Ch. 6.9 - Prob. 189RPCh. 6.9 - Prob. 190RPCh. 6.9 - Prob. 191RPCh. 6.9 - Prob. 192RPCh. 6.9 - Prob. 193RPCh. 6.9 - Prob. 194RPCh. 6.9 - The 165-lb ice skater with arms extended...Ch. 6.9 - Prob. 196RPCh. 6.9 - Prob. 197RPCh. 6.9 - The body of the spacecraft weighs 322 lb on earth...Ch. 6.9 - Prob. 199RPCh. 6.9 - Prob. 200RPCh. 6.9 - Prob. 201RPCh. 6.9 - The uniform cylinder is rolling without slip with...Ch. 6.9 - Prob. 203RPCh. 6.9 - The 30-kg wheel has a radius of gyration about its...Ch. 6.9 - The mass m is traveling with speed v when it...Ch. 6.9 - Prob. 206RPCh. 6.9 - Prob. 207RPCh. 6.9 - Prob. 208RPCh. 6.9 - The nose-wheel assembly is raised by the...Ch. 6.9 - Prob. 210RPCh. 6.9 - Prob. 211RPCh. 6.9 - Prob. 212RPCh. 6.9 - Prob. 213RPCh. 6.9 - Prob. 214RPCh. 6.9 - Prob. 215RPCh. 6.9 - Prob. 216RPCh. 6.9 - Prob. 217RPCh. 6.9 - Prob. 218RPCh. 6.9 - Prob. 219RPCh. 6.9 - Prob. 220RPCh. 6.9 - The slender rod of mass m1 and length L has a...Ch. 6.9 - Prob. 222RPCh. 6.9 - Prob. 226RPCh. 6.9 - Prob. 228RPCh. 6.9 - Prob. 229RPCh. 6.9 - Prob. 230RP
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- 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.arrow_forward5. 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 motorarrow_forward1. 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_forward
- 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?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_forwardThe 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_forward
- Please 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_forwardCE-112 please solve this problem step by step and give me the correct answerarrow_forward
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