Vector Mechanics For Engineers
12th Edition
ISBN: 9781259977237
Author: BEER
Publisher: MCG
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Chapter 17.1, Problem 17.36P
To determine
To find the velocity of wheel A and B when
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The rod AB moves on the indicated surface by means of wheels of negligible weight. The rod is released from its rest state from θ = 0° to θ = 30°. Find the velocities of points A and B when θ = 30°
The rod AB has a mass of 20 kg,the mass of the piston A and B are both 5kg. Piston B is attached to a spring of constant k = 1200 N/m. The spring is un-stretched when θ = 0. If the rod is released from rest whenθ = 45°
Please find÷
(1) the moment inertia of the rod AB about its mass center G
(2)The angular velocity of rod AB at θ = 0°
(3)the velocity of piston A at θ = 0°
(4) the velocity of Piston B at θ = 0°
(hint: regard the piston A, B, rod as a system, during the motion, except the spring, the weight of rod AB, the weight of pistonB also does work). g = 9.8 m/s2
3. A yo-yo has a weight of 0.3 lb and a radius of gyration ko = 0.06 ft. If it is released from rest,
determine how far it must descend in order to attain an angular velocity @ = 70 rad/s. neglect the
mass of the string and assume that the string is wound around the central peg such that the mean
radius at which it unravels is r = 0.02 ft.
Chapter 17 Solutions
Vector Mechanics For Engineers
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 - Prob. 17.6PCh. 17.1 - Prob. 17.7PCh. 17.1 - Prob. 17.8PCh. 17.1 - Prob. 17.9PCh. 17.1 - Prob. 17.10PCh. 17.1 - Each of the gears A and B has a mass of 10 kg and...Ch. 17.1 - Solve Prob. 17.11, assuming that the 6 N m couple...Ch. 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 - The 15-kg rear hatch of a vehicle opens as shown...Ch. 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 - A 100-kg solid cylindrical disk, 800 mm in...Ch. 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 are of mass 3 kg and 8...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 - Prob. 17.73PCh. 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 - The 4-kg uniform disk B is attached to the shaft...Ch. 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 - A uniform slender rod AB of mass m is at rest on a...Ch. 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 - Prob. 17.113PCh. 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 - Prob. 17.117PCh. 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 - Prob. 17.134PCh. 17 - A uniform disk, initially at rest and of constant...Ch. 17 - Prob. 17.136RPCh. 17 - Prob. 17.137RPCh. 17 - You are asked to analyze a catcher for a small...Ch. 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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