Vector Mechanics For Engineers
12th Edition
ISBN: 9781259977305
Author: BEER, Ferdinand P. (ferdinand Pierre), Johnston, E. Russell (elwood Russell), Cornwell, Phillip J., SELF, Brian P.
Publisher: Mcgraw-hill Education,
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Chapter 17.3, Problem 17.103P
To determine
(a)
Tire’s angular velocityimmediately after the impact.
To determine
(b)
Tire’s angular velocity after it’s rotation to the top of the step, when
R =
K =
Tire rolls without a sliding velocity of magnitude =
And strikes a curb height h =
Given that the tire is underinflated, no slipping occurs in between the curb and the tire
Assume, a perfectly plastic impact
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1. The mass of gear A is 20 kg and its centroidal radius of gyration is 150 mm. The
mass of gear B is 10 kg and its centroidal radius of gyration is 100 mm. Calculate the
angular acceleration of gar B when a torque of M N-m is applied to the shaft of gear A.
Neglect friction.
A
M
ΤΑ
TA = 240 mm
TB = 180 mm
TB
B
M = 64 Nm
The 15-kg uniform slender rod is suspended at rest when
the force of F= 145 N is applied to its end. The force is
always perpendicular to the rod. (Figure 1)
Figure
I
3m
Part A
Determine the angular velocity of the rod, measured clockwise, when it has rotated 90° clockwise from the
position shown.
Express your answer in radians per second to three significant figures. Enter positive value if the
angular velocity is clockwise and negative value if the angular velocity is counterclockwise.
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rad/s
The gear shown has a radius R=150 mm and a radius of gyration, k=125 mm. The gear
is rolling without sliding with a velocity of magnitude 5 m/s when it strikes a step of
height h=80 mm. Because the edge of the step engages the gear teeth, no slipping
occurs between the gear and the step. Assuming perfectly plastic impact, determine the
angular velocity of the gear immediately after the impact.
h
ZI
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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