Engineering Mechanics: Dynamics
8th Edition
ISBN: 9781118885840
Author: James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher: WILEY
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Chapter 3.9, Problem 183P
To determine
The distance moved by the pair after the collision.
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Q1: Determine the length, angle of contact, and width of a 9.75 mm thick
leather belt required to transmit 15 kW from a motor running at 900 r.p.m. The
diameter of the driving pulley of the motor is 300 mm. The driven pulley runs at
300 r.p.m. and the distance between the centers of two pulleys is 3 meters. The
density of the leather is 1000 kg/m³. The maximum allowable stress in the
leather is 2.5 MPa. The coefficient of friction between the leather and pulley is
0.3. Assume open belt drive.
5. A 15 kW and 1200 r.p.m. motor drives a compressor at 300 r.p.m. through a pair of spur gears having
20° stub teeth. The centre to centre distance between the shafts is 400 mm. The motor pinion is made
of forged steel having an allowable static stress as 210 MPa, while the gear is made of cast steel
having allowable static stress as 140 MPa. Assuming that the drive operates 8 to 10 hours per day
under light shock conditions, find from the standpoint of strength,
1. Module; 2. Face width and 3. Number of teeth and pitch circle diameter of each gear.
Check the gears thus designed from the consideration of wear. The surface endurance limit may be
taken as 700 MPa. [Ans. m = 6 mm; b= 60 mm; Tp=24; T=96; Dp = 144mm; DG = 576 mm]
4.
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A micarta pinion rotating at 1200 r.p.m. is to transmit 1 kW to a cast iron gear at a speed of 192 r.p.m.
Assuming a starting overload of 20% and using 20° full depth involute teeth, determine the module,
number of teeth on the pinion and gear and face width. Take allowable static strength for micarta as 40
MPa and for cast iron as 53 MPa. Check the pair in wear.
Chapter 3 Solutions
Engineering Mechanics: Dynamics
Ch. 3.4 - Prob. 1PCh. 3.4 - The 50-kg crate is stationary when the force P is...Ch. 3.4 - At a certain instant, the 80-lb crate has a...Ch. 3.4 - A man pulls himself up the 15° incline by the...Ch. 3.4 - The 10-Mg truck hauls the 20-Mg trailer. If the...Ch. 3.4 - A 60-kg woman holds a 9-kg package as she stands...Ch. 3.4 - During a brake test, the rear-engine car is...Ch. 3.4 - Prob. 8PCh. 3.4 - The inexperienced driver of an all-wheel-drive car...Ch. 3.4 - Prob. 10P
Ch. 3.4 - The 300-Mg jet airliner has three engines, each of...Ch. 3.4 - Prob. 12PCh. 3.4 - The system of the previous problem is now placed...Ch. 3.4 - Prob. 14PCh. 3.4 - Prob. 15PCh. 3.4 - Prob. 16PCh. 3.4 - Prob. 17PCh. 3.4 - Prob. 18PCh. 3.4 - A worker develops a tension T in the cable as he...Ch. 3.4 - The wheeled cart of Prob. 3/19 is now replaced...Ch. 3.4 - Prob. 21PCh. 3.4 - Prob. 22PCh. 3.4 - Prob. 23PCh. 3.4 - Prob. 24PCh. 3.4 - Prob. 25PCh. 3.4 - Prob. 26PCh. 3.4 - Prob. 27PCh. 3.4 - Prob. 28PCh. 3.4 - Prob. 29PCh. 3.4 - Prob. 30PCh. 3.4 - Prob. 31PCh. 3.4 - Prob. 32PCh. 3.4 - Prob. 33PCh. 3.4 - Prob. 34PCh. 3.4 - Prob. 35PCh. 3.4 - Prob. 36PCh. 3.4 - Prob. 37PCh. 3.4 - Prob. 38PCh. 3.4 - Prob. 39PCh. 3.4 - Prob. 40PCh. 3.4 - Prob. 41PCh. 3.4 - Prob. 42PCh. 3.4 - Prob. 43PCh. 3.4 - Prob. 44PCh. 3.4 - Prob. 45PCh. 3.4 - Two iron spheres, each of which is 100 mm in...Ch. 3.5 - The small 2-kg block A slides down the curved path...Ch. 3.5 - If the 2-kg block passes over the top B of the...Ch. 3.5 - Prob. 49PCh. 3.5 - If the 180-lb ski-jumper attains a speed of 80...Ch. 3.5 - The 4-oz slider has a speed v = 3 ft/sec as it...Ch. 3.5 - Prob. 52PCh. 3.5 - Prob. 53PCh. 3.5 - Determine the speed which the 630-kg four-man...Ch. 3.5 - The hollow tube is pivoted about a horizontal axis...Ch. 3.5 - Prob. 56PCh. 3.5 - Prob. 57PCh. 3.5 - Prob. 58PCh. 3.5 - Prob. 59PCh. 3.5 - Prob. 60PCh. 3.5 - The standard test to determine the maximum lateral...Ch. 3.5 - Prob. 62PCh. 3.5 - Prob. 63PCh. 3.5 - Prob. 64PCh. 3.5 - Prob. 65PCh. 3.5 - A 0.2-kg particle P is constrained to move along...Ch. 3.5 - Prob. 67PCh. 3.5 - At the instant under consideration, the cable...Ch. 3.5 - Prob. 69PCh. 3.5 - The slotted arm OA rotates about a fixed axis...Ch. 3.5 - Prob. 71PCh. 3.5 - Prob. 72PCh. 3.5 - Prob. 73PCh. 3.5 - Prob. 74PCh. 3.5 - Prob. 75PCh. 3.5 - Prob. 76PCh. 3.5 - Prob. 77PCh. 3.5 - The 0.1-lb projectile A is subjected to a drag...Ch. 3.5 - Determine the speed v at which the race car will...Ch. 3.5 - The small object is placed on the inner surface of...Ch. 3.5 - The small object of mass m is placed on the...Ch. 3.5 - Prob. 82PCh. 3.5 - The slotted arm revolves in the horizontal plane...Ch. 3.5 - Beginning from rest when , a 35-kg child slides...Ch. 3.5 - A small coin is placed on the horizontal surface...Ch. 3.5 - The rotating drum of a clothes dryer is shown in...Ch. 3.5 - Prob. 87PCh. 3.5 - Prob. 88PCh. 3.5 - Prob. 89PCh. 3.5 - Prob. 90PCh. 3.5 - Prob. 91PCh. 3.5 - Prob. 92PCh. 3.5 - Prob. 93PCh. 3.5 - The slotted arm OB rotates in a horizontal plane...Ch. 3.5 - Prob. 95PCh. 3.5 - Prob. 96PCh. 3.6 - The spring is unstretched at the position x = 0....Ch. 3.6 - Prob. 98PCh. 3.6 - Prob. 99PCh. 3.6 - Prob. 100PCh. 3.6 - Prob. 101PCh. 3.6 - The small 0.1-kg slider enters the “loop-the-loop”...Ch. 3.6 - Prob. 103PCh. 3.6 - Prob. 104PCh. 3.6 - Prob. 105PCh. 3.6 - Prob. 106PCh. 3.6 - Prob. 107PCh. 3.6 - Prob. 108PCh. 3.6 - Prob. 109PCh. 3.6 - Prob. 110PCh. 3.6 - Prob. 111PCh. 3.6 - Prob. 112PCh. 3.6 - Prob. 113PCh. 3.6 - Prob. 114PCh. 3.6 - Prob. 115PCh. 3.6 - Prob. 116PCh. 3.6 - Prob. 117PCh. 3.6 - Prob. 118PCh. 3.6 - Prob. 119PCh. 3.6 - Prob. 120PCh. 3.6 - Prob. 121PCh. 3.6 - Prob. 122PCh. 3.6 - Prob. 123PCh. 3.6 - Prob. 124PCh. 3.6 - Two 425,000-lb locomotives pull fifty 200,000-lb...Ch. 3.6 - Prob. 126PCh. 3.6 - Prob. 127PCh. 3.6 - Prob. 128PCh. 3.6 - Prob. 129PCh. 3.6 - The system is released from rest with no slack in...Ch. 3.6 - Prob. 131PCh. 3.6 - Prob. 132PCh. 3.6 - Prob. 133PCh. 3.6 - Prob. 134PCh. 3.6 - The 6-kg cylinder is released from rest in the...Ch. 3.6 - Prob. 136PCh. 3.6 - Extensive testing of an experimental 2000-lb...Ch. 3.6 - The vertical motion of the 50-lb block is...Ch. 3.7 - Prob. 139PCh. 3.7 - Prob. 140PCh. 3.7 - Prob. 141PCh. 3.7 - Prob. 142PCh. 3.7 - Prob. 143PCh. 3.7 - Prob. 144PCh. 3.7 - Prob. 145PCh. 3.7 - Prob. 146PCh. 3.7 - Prob. 147PCh. 3.7 - Prob. 148PCh. 3.7 - The particle of mass m = 1.2 kg is attached to the...Ch. 3.7 - The 10-kg collar slides on the smooth vertical rod...Ch. 3.7 - The system is released from rest with the spring...Ch. 3.7 - The two wheels consisting of hoops and spokes of...Ch. 3.7 - Prob. 154PCh. 3.7 - The two 1.5-kg spheres are released from rest and...Ch. 3.7 - Prob. 156PCh. 3.7 - Prob. 157PCh. 3.7 - Prob. 158PCh. 3.7 - The small bodies A and B each of mass m are...Ch. 3.7 - Prob. 160PCh. 3.7 - Prob. 161PCh. 3.7 - Prob. 162PCh. 3.7 - Prob. 163PCh. 3.7 - A satellite is put into an elliptical orbit around...Ch. 3.7 - Prob. 165PCh. 3.7 - Prob. 166PCh. 3.7 - Prob. 167PCh. 3.7 - Prob. 168PCh. 3.7 - Prob. 169PCh. 3.7 - Prob. 170PCh. 3.7 - Prob. 171PCh. 3.7 - Prob. 172PCh. 3.9 - A 0.2-kg wad of clay is released from rest and...Ch. 3.9 - Prob. 174PCh. 3.9 - Prob. 175PCh. 3.9 - Prob. 176PCh. 3.9 - Prob. 177PCh. 3.9 - Prob. 178PCh. 3.9 - Careful measurements made during the impact of the...Ch. 3.9 - Prob. 180PCh. 3.9 - Prob. 181PCh. 3.9 - Prob. 182PCh. 3.9 - Crate A is traveling down the incline with a speed...Ch. 3.9 - The 15 200-kg lunar lander is descending onto the...Ch. 3.9 - A boy weighing 100 lb runs and jumps on his 20-lb...Ch. 3.9 - The snowboarder is traveling with a velocity of 6...Ch. 3.9 - Prob. 187PCh. 3.9 - Prob. 188PCh. 3.9 - Prob. 189PCh. 3.9 - Prob. 190PCh. 3.9 - Prob. 191PCh. 3.9 - Prob. 192PCh. 3.9 - Prob. 193PCh. 3.9 - Prob. 194PCh. 3.9 - All elements of the previous problem remain...Ch. 3.9 - Prob. 196PCh. 3.9 - Prob. 197PCh. 3.9 - Prob. 198PCh. 3.9 - The hydraulic braking system for the truck and...Ch. 3.9 - The 100-lb block is stationary at time t = 0, and...Ch. 3.9 - Prob. 201PCh. 3.9 - Prob. 202PCh. 3.9 - Prob. 203PCh. 3.9 - Prob. 204PCh. 3.9 - Prob. 205PCh. 3.9 - Prob. 206PCh. 3.9 - Prob. 207PCh. 3.9 - The 1.2-lb sphere is moving in the horizontal x-y...Ch. 3.9 - Prob. 209PCh. 3.9 - A tennis player strikes the tennis ball with her...Ch. 3.9 - Prob. 211PCh. 3.9 - Prob. 212PCh. 3.9 - Prob. 213PCh. 3.9 - Prob. 214PCh. 3.10 - Determine the magnitude HO of the angular momentum...Ch. 3.10 - Prob. 216PCh. 3.10 - Prob. 217PCh. 3.10 - Prob. 218PCh. 3.10 - Prob. 219PCh. 3.10 - Prob. 220PCh. 3.10 - Prob. 221PCh. 3.10 - Prob. 222PCh. 3.10 - Prob. 223PCh. 3.10 - Prob. 224PCh. 3.10 - Prob. 225PCh. 3.10 - Prob. 226PCh. 3.10 - Prob. 227PCh. 3.10 - Prob. 228PCh. 3.10 - Prob. 229PCh. 3.10 - Prob. 230PCh. 3.10 - A wad of clay of mass m1 with an initial...Ch. 3.10 - Prob. 232PCh. 3.10 - Prob. 233PCh. 3.10 - A particle moves on the inside surface of a smooth...Ch. 3.10 - Prob. 235PCh. 3.10 - Prob. 236PCh. 3.10 - Prob. 237PCh. 3.10 - Prob. 238PCh. 3.10 - Prob. 239PCh. 3.10 - Prob. 240PCh. 3.12 - Prob. 241PCh. 3.12 - Compute the final velocities v1′ and v2′ after...Ch. 3.12 - Prob. 243PCh. 3.12 - Prob. 244PCh. 3.12 - Prob. 245PCh. 3.12 - Prob. 246PCh. 3.12 - Prob. 247PCh. 3.12 - Prob. 248PCh. 3.12 - Prob. 249PCh. 3.12 - If the center of the ping-pong ball is to clear...Ch. 3.12 - Prob. 251PCh. 3.12 - Prob. 252PCh. 3.12 - Prob. 253PCh. 3.12 - Prob. 254PCh. 3.12 - Prob. 255PCh. 3.12 - A 0.1-kg meteor and a 1000-kg spacecraft have the...Ch. 3.12 - In a pool game the cue ball A must strike the...Ch. 3.12 - Prob. 258PCh. 3.12 - Prob. 259PCh. 3.12 - Prob. 260PCh. 3.12 - Prob. 261PCh. 3.12 - Prob. 262PCh. 3.12 - Prob. 263PCh. 3.12 - Prob. 264PCh. 3.12 - Prob. 265PCh. 3.12 - Prob. 266PCh. 3.12 - The 2-kg sphere is projected horizontally with a...Ch. 3.12 - Prob. 268PCh. 3.12 - Prob. 269PCh. 3.12 - Prob. 270PCh. 3.12 - Prob. 271PCh. 3.12 - Prob. 272PCh. 3.12 - Prob. 273PCh. 3.12 - Prob. 274PCh. 3.12 - Prob. 275PCh. 3.12 - Prob. 276PCh. 3.12 - Prob. 277PCh. 3.12 - Prob. 278PCh. 3.12 - Determine the speed v required of an earth...Ch. 3.12 - Prob. 280PCh. 3.12 - Prob. 281PCh. 3.12 - Prob. 282PCh. 3.12 - Prob. 283PCh. 3.12 - Prob. 284PCh. 3.12 - Prob. 285PCh. 3.12 - Compute the magnitude of the necessary launch...Ch. 3.12 - Prob. 287PCh. 3.12 - Prob. 288PCh. 3.12 - Prob. 289PCh. 3.12 - Prob. 290PCh. 3.12 - Prob. 291PCh. 3.12 - Prob. 292PCh. 3.12 - The perigee and apogee altitudes above the surface...Ch. 3.12 - Prob. 294PCh. 3.12 - Prob. 295PCh. 3.12 - Prob. 296PCh. 3.12 - Prob. 297PCh. 3.12 - Prob. 298PCh. 3.12 - Prob. 299PCh. 3.12 - Prob. 300PCh. 3.15 - Prob. 301RPCh. 3.15 - Prob. 302RPCh. 3.15 - Prob. 303RPCh. 3.15 - Prob. 304RPCh. 3.15 - Prob. 305RPCh. 3.15 - Prob. 306RPCh. 3.15 - Prob. 307RPCh. 3.15 - Prob. 308RPCh. 3.15 - Prob. 309RPCh. 3.15 - The slider A has a mass of 2 kg and moves with...Ch. 3.15 - Prob. 311RPCh. 3.15 - Prob. 312RPCh. 3.15 - Prob. 313RPCh. 3.15 - Prob. 314RPCh. 3.15 - A ball is released from rest relative to the...Ch. 3.15 - The small slider A moves with negligible friction...Ch. 3.15 - Prob. 317RPCh. 3.15 - Prob. 318RPCh. 3.15 - Prob. 319RPCh. 3.15 - Prob. 320RPCh. 3.15 - Prob. 321RPCh. 3.15 - The simple 2-kg pendulum is released from rest in...Ch. 3.15 - Prob. 323RPCh. 3.15 - Prob. 324RPCh. 3.15 - Prob. 325RPCh. 3.15 - Prob. 326RPCh. 3.15 - Prob. 327RPCh. 3.15 - Six identical spheres are arranged as shown in the...Ch. 3.15 - Prob. 329RPCh. 3.15 - Prob. 330RPCh. 3.15 - Prob. 331RPCh. 3.15 - Prob. 332RPCh. 3.15 - Prob. 333RPCh. 3.15 - Prob. 334RPCh. 3.15 - Prob. 335RPCh. 3.15 - Prob. 336RPCh. 3.15 - Prob. 337RPCh. 3.15 - Prob. 338RPCh. 3.15 - Prob. 339RPCh. 3.15 - The bungee jumper, an 80-kg man, falls from the...Ch. 3.15 - Prob. 341RPCh. 3.15 - Prob. 342RPCh. 3.15 - Prob. 343RPCh. 3.15 - Prob. 344RPCh. 3.15 - Prob. 345RPCh. 3.15 - Prob. 346RPCh. 3.15 - Prob. 347RPCh. 3.15 - Prob. 348RPCh. 3.15 - Prob. 349RPCh. 3.15 - Prob. 350RPCh. 3.15 - The tennis player practices by hitting the ball...Ch. 3.15 - A particle of mass m is introduced with zero...Ch. 3.15 - The system of Prob. 3/166 is repeated here. The...
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