Engineering Mechanics: Statics & Dynamics (14th Edition)
14th Edition
ISBN: 9780133915426
Author: Russell C. Hibbeler
Publisher: PEARSON
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Chapter 4.7, Problem 27FP
To determine
The equivalent resultant force, the direction of the resultant force, and the resultant moment.
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Q4/ A compressor is driven motor by mean of a flat belt of thickness 10 mm and a width of
250 mm. The motor pulley is 300 mm diameter and run at 900 rpm and the compressor
pulley is 1500 mm diameter. The shaft center distance is 1.5 m. The angle of contact of
the smaller pulley is 220° and on the larger pulley is 270°. The coefficient of friction
between the belt and the small pulley is 0.3, and between the belt and the large pulley is
0.25. The maximum allowable belt stress is 2 MPa and the belt density is 970 kg/m³.
(a) What is the power capacity of the drive and (b) If the small pulley replaced by
V-grooved pulley of diameter 300 mm, grooved angle of 34° and the coefficient of
friction between belt and grooved pulley is 0.35. What will be the power capacity in this
case, assuming that the diameter of the large pulley remain the same of 1500 mm.
You are tasked with designing a power drive system to transmit power between a motor and a conveyor belt in a manufacturing facility as illustrated in figure.
The design must ensure efficient power transmission, reliability, and safety. Given the following specifications and constraints, design drive system for this application:
Specifications:
Motor Power: The electric motor provides 10 kW of power at 1,500 RPM.
Output Speed: The output shaft should rotate at 150 rpm.
Design Decisions:
Transmission ratio: Determine the necessary drive ratio for the system.
Shaft Diameter: Design the shafts for both the motor and the conveyor end.
Material Selection: Choose appropriate materials for the gears, shafts.
Bearings: Select suitable rolling element bearings.
Constraints:
Space Limitation:
The available space for the gear drive system is limited to a 1-meter-long section.
Attribute 4 of CEP
Depth of knowledge required
Fundamentals-based, first principles analytical approach…
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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