Engineering Mechanics: Statics & Dynamics (14th Edition)
14th Edition
ISBN: 9780133915426
Author: Russell C. Hibbeler
Publisher: PEARSON
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Textbook Question
Chapter 4.4, Problem 8P
Determine the moment of each of the three forces about point B.
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Q3:
(10 MARKS)
A piston with a weight of 29.4 N is supported by a spring
and dashpot. A dashpot of damping coefficient c = 275
N.s/m acts in parallel with the spring of stiffness k = 2400
N/m. A fluctuating pressure p = 960 sin 30t N/m² acts on
the piston, whose top surface area is 0.05 m². Determine
the steady-state displacement as a function of time and the
maximum force transmitted to the base.
P=Po sin cot
W
9. Design a spur gear drive required to transmit 45 kW at a pinion speed of 800 r.p.m. The velocity ratio
is 3.5 : 1. The teeth are 20° full-depth involute with 18 teeth on the pinion. Both the pinion and gear
are made of steel with a maximum safe static stress of 180 MPa. Assume a safe stress of 40 MPa for
the material of the shaft and key.
10. Design a pair of spur gears with stub teeth to transmit 55 kW from a 175 mm pinion running at 2500
r.p.m. to a gear running at 1500 r.p.m. Both the gears are made of steel having B.H.N. 260. Approximate
the pitch by means of Lewis equation and then adjust the dimensions to keep within the limits set by
the dynamic load and wear equation.
7. A motor shaft rotating at 1440 r.p.m. has to transmit 15 kW to a low speed shaft rotating at 500 r.p.m.
The teeth are 20° involute with 25 teeth on the pinion. Both the pinion and gear are made of cast iron
with a maximum safe stress of 56 MPa. A safe stress of 35 MPa may be taken for the shaft on which
the gear is mounted. Design and sketch the spur gear drive to suit the above conditions. The starting
torque may be assumed as 1,25 times the running torque.
Ruins 20 LW at 100 nm to another shaft running approxi
Chapter 4 Solutions
Engineering Mechanics: Statics & Dynamics (14th Edition)
Ch. 4.4 - In each case, determine the moment of the force...Ch. 4.4 - In each case, set up the determinant to find the...Ch. 4.4 - Determine the moment of the force about point O.Ch. 4.4 - Determine the moment of the force about point O.Ch. 4.4 - Determine the moment of the force about point O.Ch. 4.4 - Determine the moment of the force about point O....Ch. 4.4 - Determine the moment of the force about point O.Ch. 4.4 - Determine the moment of the force about point O.Ch. 4.4 - Determine the resultant moment produced by the...Ch. 4.4 - Determine the resultant moment produced by the...
Ch. 4.4 - Determine the resultant moment produced by the...Ch. 4.4 - Determine the moment of force F about point O....Ch. 4.4 - Prob. 11FPCh. 4.4 - Prob. 12FPCh. 4.4 - Prob. 1PCh. 4.4 - Prove the triple scalar product identity A (B C)...Ch. 4.4 - Prob. 3PCh. 4.4 - Prob. 4PCh. 4.4 - Determine the moment about point B of each of the...Ch. 4.4 - The crowbar is subjected to a vertical force of P...Ch. 4.4 - Determine the moment of each of the three forces...Ch. 4.4 - Determine the moment of each of the three forces...Ch. 4.4 - Determine the moment of each force about the bolt...Ch. 4.4 - If FB = 30 lb and FC = 45 lb, determine the...Ch. 4.4 - Prob. 11PCh. 4.4 - The towline exerts a force of P = 6 kN at the end...Ch. 4.4 - Prob. 13PCh. 4.4 - The 20-N horizontal force acts on the handle of...Ch. 4.4 - Two men exert forces of F = 80 lb and P = 50 lb on...Ch. 4.4 - Prob. 16PCh. 4.4 - Prob. 17PCh. 4.4 - The tongs are used to grip the ends of the...Ch. 4.4 - Prob. 19PCh. 4.4 - The handle of the hammer is subjected to the force...Ch. 4.4 - In order to pull out the nail at B, the force F...Ch. 4.4 - Old clocks were constructed using a fusee B to...Ch. 4.4 - The tower crane is used to hoist the 2-Mg load...Ch. 4.4 - The tower crane is used to hoist a 2-Mg load...Ch. 4.4 - If the 1500-lb boom AB, the 200-lb cage BCD, and...Ch. 4.4 - If the 1500-lb boom AB, the 200-lb cage BCD, and...Ch. 4.4 - Determine the moment of the force F about point O....Ch. 4.4 - Determine the moment of the force F about point P....Ch. 4.4 - The force F = {400i 100j 700k} lb acts at the...Ch. 4.4 - The force F = {400i 100j 700k} lb acts at the end...Ch. 4.4 - Determine the moment of the force F about point P....Ch. 4.4 - The pipe assembly is subjected to the force of F =...Ch. 4.4 - The pipe assembly is subjected to the force of F =...Ch. 4.4 - Determine the moment of the force of F = 600 N...Ch. 4.4 - Determine the smallest force F that must be...Ch. 4.4 - Determine the coordinate direction angles , , of...Ch. 4.4 - Determine the moment of force F about point O. The...Ch. 4.4 - Determine the moment of the force F about the door...Ch. 4.4 - Determine the moment of the force F about the door...Ch. 4.4 - Determine the smallest force F that must be...Ch. 4.4 - Prob. 41PCh. 4.4 - A 20-N horizontal force is applied perpendicular...Ch. 4.4 - Prob. 43PCh. 4.4 - The pipe assembly is subjected to the 80-N force....Ch. 4.4 - Prob. 45PCh. 4.4 - Prob. 46PCh. 4.4 - Prob. 47PCh. 4.4 - Prob. 48PCh. 4.4 - Prob. 49PCh. 4.4 - Prob. 50PCh. 4.4 - Using a ring collar, the 75-N force can act in the...Ch. 4.5 - In each case, determine the resultant moment of...Ch. 4.5 - Prob. 4PPCh. 4.5 - Prob. 13FPCh. 4.5 - Prob. 14FPCh. 4.5 - Determine the magnitude of the moment of the 200-N...Ch. 4.5 - Determine the magnitude of the moment of the force...Ch. 4.5 - Prob. 17FPCh. 4.5 - Determine the moment of force F about the x, the...Ch. 4.5 - The lug nut on the wheel of the automobile is to...Ch. 4.5 - Solve Prob. 4-52 if the cheater pipe AB is slipped...Ch. 4.5 - The A-frame is being hoisted into an upright...Ch. 4.5 - Prob. 55PCh. 4.5 - Determine the magnitude of the moments of the...Ch. 4.5 - Determine the moment of this force F about an axis...Ch. 4.5 - Prob. 58PCh. 4.5 - Prob. 59PCh. 4.5 - Prob. 60PCh. 4.5 - Determine the magnitude of the moment of the force...Ch. 4.5 - Determine the magnitude of the moment of the force...Ch. 4.5 - Determine the magnitude of the moment of the force...Ch. 4.5 - A horizontal force of F = {50i} N is applied...Ch. 4.5 - Prob. 65PCh. 4.5 - Prob. 66PCh. 4.6 - Determine the resultant couple moment acting on...Ch. 4.6 - Determine the resultant couple moment acting on...Ch. 4.6 - Prob. 21FPCh. 4.6 - Determine the couple moment acting on the beam.Ch. 4.6 - Determine the resultant couple moment acting on...Ch. 4.6 - Determine the couple moment acting on the pipe...Ch. 4.6 - Prob. 67PCh. 4.6 - Prob. 68PCh. 4.6 - If the resultant couple of the three couples...Ch. 4.6 - Two couples act on the beam. If F = 125 lb,...Ch. 4.6 - Two couples act on the beam. Determine the...Ch. 4.6 - Determine the magnitude of the couple forces F so...Ch. 4.6 - Prob. 73PCh. 4.6 - Prob. 74PCh. 4.6 - Prob. 75PCh. 4.6 - Determine the magnitude of F so that the resultant...Ch. 4.6 - Prob. 77PCh. 4.6 - Prob. 78PCh. 4.6 - Two couples act on the frame. If the resultant...Ch. 4.6 - Prob. 80PCh. 4.6 - Two couples act on the frame. If d = 4 ft,...Ch. 4.6 - Prob. 82PCh. 4.6 - If M1 = 180 lb ft, M2 = 90 lb ft, and M3 = 120...Ch. 4.6 - Prob. 84PCh. 4.6 - The gears are subjected to the couple moments...Ch. 4.6 - Determine the required magnitude of the couple...Ch. 4.6 - Determine the resultant couple moment of the two...Ch. 4.6 - Express the moment of the couple acting on the...Ch. 4.6 - In order to turn over the frame, a couple moment...Ch. 4.6 - Express the moment of the couple acting on the...Ch. 4.6 - If the couple moment acting on the pipe has a...Ch. 4.6 - If F = 80 N, determine the magnitude and...Ch. 4.6 - If the magnitude of the couple moment acting on...Ch. 4.6 - Express the moment of the couple acting on the rod...Ch. 4.6 - If F1 = 100 N, F2 = 120 N, and F3 = 80 N,...Ch. 4.6 - Prob. 96PCh. 4.7 - In each case, determine the x and y components of...Ch. 4.7 - F-25. Replace the leading system by an equivalent...Ch. 4.7 - F-26. Replace the loading system by an equivalent...Ch. 4.7 - Prob. 27FPCh. 4.7 - Prob. 28FPCh. 4.7 - Prob. 29FPCh. 4.7 - F-30. Replace the loading system by an equivalent...Ch. 4.7 - Replace the force system by an equivalent...Ch. 4.7 - Prob. 98PCh. 4.7 - Prob. 99PCh. 4.7 - Prob. 100PCh. 4.7 - Replace the loading system acting on the beam by...Ch. 4.7 - Prob. 102PCh. 4.7 - Prob. 103PCh. 4.7 - Prob. 104PCh. 4.7 - Replace the force system acting on the frame by an...Ch. 4.7 - Prob. 106PCh. 4.7 - Prob. 107PCh. 4.7 - Replace the force system by an equivalent...Ch. 4.7 - Prob. 109PCh. 4.7 - Prob. 110PCh. 4.7 - Prob. 111PCh. 4.7 - Prob. 112PCh. 4.8 - In each case, determine the x and y components of...Ch. 4.8 - Prob. 7PPCh. 4.8 - Replace the loading system by an equivalent...Ch. 4.8 - Prob. 32FPCh. 4.8 - Prob. 33FPCh. 4.8 - Prob. 34FPCh. 4.8 - Prob. 35FPCh. 4.8 - Prob. 36FPCh. 4.8 - Prob. 113PCh. 4.8 - Prob. 114PCh. 4.8 - Prob. 115PCh. 4.8 - Prob. 116PCh. 4.8 - Replace the loading acting on the beam by a single...Ch. 4.8 - Prob. 118PCh. 4.8 - Prob. 119PCh. 4.8 - Prob. 120PCh. 4.8 - Prob. 121PCh. 4.8 - Prob. 122PCh. 4.8 - Prob. 123PCh. 4.8 - Prob. 124PCh. 4.8 - Prob. 125PCh. 4.8 - Replace the force and couple system acting on the...Ch. 4.8 - If FA = 7 kN and FB = 5 kN, represent the force...Ch. 4.8 - Determine the magnitudes of FA and FB so that the...Ch. 4.8 - Prob. 129PCh. 4.8 - Prob. 130PCh. 4.8 - Prob. 131PCh. 4.8 - If FA= 40 kN and FB = 35 kN, determine the...Ch. 4.8 - If the resultant force is required to act at the...Ch. 4.8 - Prob. 134PCh. 4.8 - Replace the force system by a wrench and specify...Ch. 4.8 - Prob. 136PCh. 4.8 - Replace the three forces acting on the plate by a...Ch. 4.9 - Determine the resultant force and specify where it...Ch. 4.9 - Prob. 38FPCh. 4.9 - Prob. 39FPCh. 4.9 - Determine the resultant force and specify where it...Ch. 4.9 - Prob. 41FPCh. 4.9 - Prob. 42FPCh. 4.9 - Replace the loading by an equivalent resultant...Ch. 4.9 - Replace the distributed loading with an equivalent...Ch. 4.9 - Prob. 140PCh. 4.9 - Prob. 141PCh. 4.9 - Replace the distributed loading by an equivalent...Ch. 4.9 - Replace this loading by an equivalent resultant...Ch. 4.9 - The distribution of soil loading on the bottom of...Ch. 4.9 - Replace the loading by an equivalent resultant...Ch. 4.9 - Replace the distributed loading by an equivalent...Ch. 4.9 - Prob. 147PCh. 4.9 - Prob. 148PCh. 4.9 - If the soil exerts a trapezoidal distribution of...Ch. 4.9 - Prob. 150PCh. 4.9 - Prob. 151PCh. 4.9 - Prob. 152PCh. 4.9 - Replace the leading by a single resultant force,...Ch. 4.9 - Prob. 154PCh. 4.9 - Replace the distributed loading by an equivalent...Ch. 4.9 - Prob. 156PCh. 4.9 - Prob. 157PCh. 4.9 - Prob. 158PCh. 4.9 - The distributed load acts on the shaft as shown....Ch. 4.9 - Replace the distributed loading with an equivalent...Ch. 4.9 - Prob. 161PCh. 4.9 - Prob. 162PCh. 4.9 - Prob. 1RPCh. 4.9 - Replace the force F having a magnitude of F = 50...Ch. 4.9 - Prob. 3RPCh. 4.9 - Prob. 4RPCh. 4.9 - Prob. 5RPCh. 4.9 - Prob. 6RPCh. 4.9 - Prob. 7RPCh. 4.9 - Prob. 8RP
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