Vector Mechanics for Engineers: Dynamics
11th Edition
ISBN: 9780077687342
Author: Ferdinand P. Beer, E. Russell Johnston Jr., Phillip J. Cornwell, Brian Self
Publisher: McGraw-Hill Education
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Chapter 17.1, Problem 17.41P
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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 17 Solutions
Vector Mechanics for Engineers: Dynamics
Ch. 17.1 - A round object of mass m and radius r is released...Ch. 17.1 - Prob. 17.CQ2PCh. 17.1 - Prob. 17.CQ3PCh. 17.1 - Prob. 17.CQ4PCh. 17.1 - Slender bar A is rigidly connected to a massless...Ch. 17.1 - A 200-kg flywheel is at rest when a constant 300 N...Ch. 17.1 - The rotor of an electric motor has an angular...Ch. 17.1 - Two uniform disks of the same material are...Ch. 17.1 - Two disks of the same material are attached to a...Ch. 17.1 - Prob. 17.5P
Ch. 17.1 - The flywheel of a punching machine has a mass of...Ch. 17.1 - Prob. 17.7PCh. 17.1 - Prob. 17.8PCh. 17.1 - Prob. 17.9PCh. 17.1 - Prob. 17.10PCh. 17.1 - Prob. 17.11PCh. 17.1 - Prob. 17.12PCh. 17.1 - The gear train shown consists of four gears of the...Ch. 17.1 - Prob. 17.14PCh. 17.1 - Prob. 17.15PCh. 17.1 - Prob. 17.16PCh. 17.1 - Prob. 17.17PCh. 17.1 - A slender 9-lb rod can rotate in a vertical plane...Ch. 17.1 - Prob. 17.19PCh. 17.1 - Prob. 17.20PCh. 17.1 - A collar with a mass of 1 kg is rigidly attached...Ch. 17.1 - Prob. 17.22PCh. 17.1 - Prob. 17.23PCh. 17.1 - The 30-kg turbine disk has a centroidal radius of...Ch. 17.1 - Prob. 17.25PCh. 17.1 - Prob. 17.26PCh. 17.1 - Prob. 17.27PCh. 17.1 - Prob. 17.28PCh. 17.1 - Prob. 17.29PCh. 17.1 - A half-cylinder with mass m and radius r is...Ch. 17.1 - Prob. 17.31PCh. 17.1 - Two uniform cylinders, each of weight W=14 lb and...Ch. 17.1 - Two uniform cylinders, each of weight W=14 lb and...Ch. 17.1 - A bar of mass m=5 kg is held as shown between four...Ch. 17.1 - The 1.5-kg uniform slender bar AB is connected to...Ch. 17.1 - Prob. 17.36PCh. 17.1 - A 5-m-long ladder has a mass of 15 kg and is...Ch. 17.1 - Prob. 17.38PCh. 17.1 - Prob. 17.39PCh. 17.1 - The mechanism shown is one of two identical...Ch. 17.1 - The mechanism shown is one of two identical...Ch. 17.1 - Each of the two rods shown is of length L=1 m and...Ch. 17.1 - The 4-kg rod AB is attached to a collar of...Ch. 17.1 - If in Prob. 17.43 the angular velocity of the...Ch. 17.1 - The uniform rods AB and BC weigh 2.4 kg and 4 kg,...Ch. 17.1 - The uniform rods AB and BC weigh 2.4 kg and 4 kg,...Ch. 17.1 - The 80-mm-radius gear shown has a mass of 5 kg and...Ch. 17.1 - Prob. 17.48PCh. 17.1 - Three shafts and four gears are used to form a...Ch. 17.1 - Prob. 17.50PCh. 17.1 - The drive belt on a vintage sander transmits 12 hp...Ch. 17.2 - Slender bar A is rigidly connected to a massless...Ch. 17.2 - A 1-m-long uniform slender bar AB has an angular...Ch. 17.2 - The 350-kg flywheel of a small hoisting engine has...Ch. 17.2 - A sphere of radius r and mass m is placed on a...Ch. 17.2 - Prob. 17.F3PCh. 17.2 - Prob. 17.52PCh. 17.2 - Prob. 17.53PCh. 17.2 - Prob. 17.54PCh. 17.2 - Prob. 17.55PCh. 17.2 - Prob. 17.56PCh. 17.2 - A disk of constant thickness, initially at rest,...Ch. 17.2 - Prob. 17.58PCh. 17.2 - A cylinder of radius r and weight W with an...Ch. 17.2 - Each of the double pulleys shown has a centroidal...Ch. 17.2 - Prob. 17.61PCh. 17.2 - Prob. 17.62PCh. 17.2 - Prob. 17.63PCh. 17.2 - A tape moves over the two drums shown. Drum A...Ch. 17.2 - Prob. 17.65PCh. 17.2 - Prob. 17.66PCh. 17.2 - Prob. 17.67PCh. 17.2 - Consider a rigid body initially at rest and...Ch. 17.2 - Prob. 17.69PCh. 17.2 - Prob. 17.70PCh. 17.2 - Prob. 17.71PCh. 17.2 - Prob. 17.72PCh. 17.2 - A 9-in.-radius cylinder of weight 18 Ib rests on a...Ch. 17.2 - Prob. 17.74PCh. 17.2 - Prob. 17.75PCh. 17.2 - Prob. 17.76PCh. 17.2 - A sphere of radius r and mass m is projected along...Ch. 17.2 - Prob. 17.78PCh. 17.2 - Prob. 17.79PCh. 17.2 - Prob. 17.80PCh. 17.2 - Two 10-lb disks and a small motor are mounted on a...Ch. 17.2 - Prob. 17.82PCh. 17.2 - A 1.6-kg tube AB can slide freely on rod DE, which...Ch. 17.2 - In the helicopter shown, a vertical tail propeller...Ch. 17.2 - Prob. 17.85PCh. 17.2 - Prob. 17.86PCh. 17.2 - Prob. 17.87PCh. 17.2 - Prob. 17.88PCh. 17.2 - Prob. 17.89PCh. 17.2 - Prob. 17.90PCh. 17.2 - Prob. 17.91PCh. 17.2 - Prob. 17.92PCh. 17.2 - Prob. 17.93PCh. 17.2 - Prob. 17.94PCh. 17.2 - Prob. 17.95PCh. 17.3 - A uniform slender rod AB ofmass m is at rest on a...Ch. 17.3 - Prob. 17.F5PCh. 17.3 - Prob. 17.F6PCh. 17.3 - Prob. 17.96PCh. 17.3 - A bullet weighing 0.08 lb is fired with a...Ch. 17.3 - Prob. 17.98PCh. 17.3 - Prob. 17.99PCh. 17.3 - Prob. 17.100PCh. 17.3 - Prob. 17.101PCh. 17.3 - A 45-g bullet is fired with a velocity of 400 m/s...Ch. 17.3 - Prob. 17.103PCh. 17.3 - Prob. 17.104PCh. 17.3 - Prob. 17.105PCh. 17.3 - Prob. 17.106PCh. 17.3 - Prob. 17.107PCh. 17.3 - Prob. 17.108PCh. 17.3 - Determine the height h at which the bullet of...Ch. 17.3 - A uniform slender bar of length L=200 mm and mass...Ch. 17.3 - A uniform slender rod of length L is dropped onto...Ch. 17.3 - A uniform slender rod AB has a mass m, a length L,...Ch. 17.3 - The slender rod AB of length L=1 m forms an angle...Ch. 17.3 - The trapeze/lanyard air drop (t/LAD) launch is a...Ch. 17.3 - The uniform rectangular block shown is moving...Ch. 17.3 - The 40-kg gymnast drops from her maximum height of...Ch. 17.3 - A slender rod of mass m and length L is released...Ch. 17.3 - A uniformly loaded square crate is released from...Ch. 17.3 - A 1-oz bullet is fired with a horizontal velocity...Ch. 17.3 - For the beam of Prob. 17.119, determine the...Ch. 17.3 - The plank CDEhas a mass of 15 kg and rests on a...Ch. 17.3 - Prob. 17.122PCh. 17.3 - A slender rod AB is released from rest in the...Ch. 17.3 - A slender rod AB is released from rest in the...Ch. 17.3 - Prob. 17.125PCh. 17.3 - A 2-kg solid sphere of radius r=40 mm is dropped...Ch. 17.3 - Member ABC has a mass of 2.4 kg and is attached to...Ch. 17.3 - Member ABC has a mass of 2.4 kg and is attached to...Ch. 17.3 - Sphere A of mass mA=2 kg and radius r=40 mm rolls...Ch. 17.3 - A large 3-lb sphere with a radius r=3 in. is...Ch. 17.3 - Prob. 17.131PCh. 17.3 - Sphere A of mass m and radius r rolls without...Ch. 17.3 - Prob. 17.133PCh. 17.3 - Each of the bars AB and BC is of length L=400 mm...Ch. 17 - A uniform disk, initially at rest and of constant...Ch. 17 - Prob. 17.136RPCh. 17 - Prob. 17.137RPCh. 17 - Prob. 17.138RPCh. 17 - A uniform slender rod is placed at corner B and is...Ch. 17 - Prob. 17.140RPCh. 17 - Prob. 17.141RPCh. 17 - Prob. 17.142RPCh. 17 - Prob. 17.143RPCh. 17 - A square block of mass m is falling with a...Ch. 17 - Prob. 17.145RPCh. 17 - A 1.8-lb javelin DE impacts a 10-lb slender rod...
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