Engineering Mechanics: Dynamics
8th Edition
ISBN: 9781118885840
Author: James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher: WILEY
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Chapter 6.4, Problem 21P
To determine
Determine the direction and magnitude of force, and the magnitude of normal reaction at
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2. Read the following Vernier caliper measurements. (The scales have been
enlarged for easier reading.) The Vernier caliper is calibrated in metric units.
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(b)
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Explain why on the interval 0<x<1000 mm and 1000<x<2000mm, Mt is equal to positive 160 Nm, but at x= 0mm and x=1000mm Mt is equal to -160 Nm (negative value!). What is the reason for the sign change of Mt?
20
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Gears
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A pair of helical gears consist of a 20 teeth pinion meshing with a 100 teeth gear. The pinion rotates at
Ta
720 r.p.m. The normal pressure angle is 20° while the helix angle is 25°. The face width is 40 mm and
the normal module is 4 mm. The pinion as well as gear are made of steel having ultimate strength of
600 MPa and heat treated to a surface hardness of 300 B.H.N. The service factor and factor of safety
are 1.5 and 2 respectively. Assume that the velocity factor accounts for the dynamic load and calculate
the power transmitting capacity of the gears.
[Ans. 8.6 kW
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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- 4. A single stage helical gear reducer is to receive power from a 1440 r.p.m., 25 kW induction motor. The gear tooth profile is involute full depth with 20° normal pressure angle. The helix angle is 23°, number of teeth on pinion is 20 and the gear ratio is 3. Both the gears are made of steel with allowable beam stress of 90 MPa and hardness 250 B.H.N. (a) Design the gears for 20% overload carrying capacity from standpoint of bending strength and wear, (b) If the incremental dynamic load of 8 kN is estimated in tangential plane, what will be the safe power transmitted by the pair at the same speed?arrow_forwardDetermine the stress in each section of the bar shown in Fig. when subjected to an axial tensile load shown in Fig. The central section is 30 mm hollow square cross- section; the other portions are of circular section, their diameters being indicated What will be the total deformation of the bar? For the bar material E = 210GPa. 20mi О 30mm 30mmm 2.6 15mm 30kN 1 2 10kN - 20kN 3 -329 91mm 100mm 371mmarrow_forwardCalculate the load that will make point A move to the left by 6mm, E=228GPa. The diameters of the rods are as shown in fig. below. 2P- PA 80mm B 200mm 2P 0.9m 1.3m.arrow_forward
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