Engineering Mechanics: Dynamics
8th Edition
ISBN: 9781118885840
Author: James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher: WILEY
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Chapter 3.7, Problem 158P
To determine
The vertical launch velocity
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using the theorem of three moments, find all the reactions and supports, I need the calculations only
Q.5: (10 Marks) Select the correct answer (choose 10 only)
1. The forward whirling speed is ......... the static structure tilting speed.
(a) Less than
(b) Higher than
(c) equal to
2. The divergence between the forward and backward whirling speeds increases as:
(a) The rotating speed increase (b) the polar moment of inertia increases
(c) Both (a) and (b)
(d) do not change
3. Increasing the system natural frequency can be done by:
(a) add masses (b) adding braces and supports (c) increase damping
4. The amplitude of vibration due to external force can be reduced by:
(a) Increasing damping (b) Decreasing damping (c) Increasing mass
5. Tuned absorbers are used to:
(a) Shift the natural frequency (b) increase damping (c) Increase stiffness
6. Accelerometers sensors contains:
г
(a) Piezoelectric materials (b) Magnet and coil (c) coil only
7. Increasing the stiffness of the system causes:
(a) Less transmitted force (b) more transmitted force (c) Transmitted force does not
change
8. The…
Q.1: (15 Marks)
Find the first three natural frequencies and mode shapes of the axial and torsional
vibration for a steel shaft free at both ends, having a length of 3 m. Find the subsequent
axil motion if the shaft is subjected to the following initial conditions, given that E = 210
GPa, G=80 GPa, p = 7800 kg/m³:
f(x)=0
v(x) = {1
2.8
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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