VECTOR MECHANIC
12th Edition
ISBN: 9781264095032
Author: BEER
Publisher: MCGRAW-HILL HIGHER EDUCATION
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Textbook Question
Chapter 17.3, Problem 17.114P
The trapeze/lanyard air drop (t/LAD) launch is a proposed innovative method for airborne launch of a payload-carrying rocket. The release sequence involves several steps as shown in (1), where the payload rocket is shown at various instances during the launch. To investigate the first step of this process, where the rocket body drops freely from the carrier aircraft until the 2-m lanyard stops the vertical motion of B, a trial rocket is tested as shown in (2). The rocket can be considered a uniform 1 × 7-m rectangle with a mass of 4000 kg. Knowing that the rocket is released from rest and falls vertically 2 m before the lanyard becomes taut, determine the angular velocity of the rocket immediately after the lanyard is taut.
(1)
(2)
Fig. P17.114
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Figure below shows a link mechanism in which the link OA rotates uniformly in an
anticlockwise direction at 10 rad/s. the lengths of the various links are OA=75 mm, OB-150 mm,
BC=150 mm, CD-300 mm. Determine for the position shown, the sliding velocity of D.
A 45
B
Space Diagram
o NTS (Not-to-Scale)
C
D
I need a detailed drawing with explanation
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Pax Pu + 96**
motion is as follows;
1- Dwell 45°.
Plot the displacement diagram for a cam with flat follower of width 14 mm. The required
2- Rising 60 mm in 90° with Simple Harmonic Motion.
3- Dwell 90°.
4- Falling 60 mm for 90° with Simple Harmonic Motion.
5- Dwell 45°.
cam is 50 mm.
Then design the cam profile to give the above displacement diagram if the minimum circle diameter of the
55
---20125
750 X 2.01
1989
Ashaft fitted with a flywheel rotates at 300 rpm. and drives a machine. The torque
required to drive the machine varies in a cyclic manner over a period of 2 revolutions. The torque drops
from 20,000 Nm to 10,000 Nm uniformly during 90 degrees and remains constant for the following 180
degrees. It then rises uniformly to 35,000 Nm during the next 225 degrees and after that it drops to
20,000 in a uniform manner for 225 degrees, the cycle being repeated thereafter.
Determine the power required to drive the machine and percentage fluctuation in speed, if the driving
torque applied to the shaft is constant and the mass of the flywheel is 12 tonnes with radius of gyration of
500 mm. What is the maximum angular acceleration of the flywheel.
35,000
TNM
20,000
10,000
0
90
270
495
Crank angle 8 degrees
720
Chapter 17 Solutions
VECTOR MECHANIC
Ch. 17.1 - A round object of mass m and radius r is released...Ch. 17.1 - Prob. 17.2CQCh. 17.1 - Prob. 17.3CQCh. 17.1 - Prob. 17.4CQCh. 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...Ch. 17.1 - The rotor of an electric motor has an angular...Ch. 17.1 - Prob. 17.3PCh. 17.1 - Two disks of the same material are attached to a...Ch. 17.1 - The flywheel of a punching machine has a weight of...
Ch. 17.1 - Prob. 17.6PCh. 17.1 - Prob. 17.7PCh. 17.1 - Prob. 17.8PCh. 17.1 - The 10-in.-radius brake drum is attached to a...Ch. 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 Nm couple...Ch. 17.1 - Prob. 17.13PCh. 17.1 - The double pulley shown has a mass of 15 kg and a...Ch. 17.1 - Gear A has a mass of 1 kg and a radius of gyration...Ch. 17.1 - A slender rod of length l and mass m is pivoted...Ch. 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 - An adapted golf device attaches to a wheelchair to...Ch. 17.1 - A 10-kg storm window measuring 900 1500 mm is...Ch. 17.1 - A collar with a mass of 1 kg is rigidly attached...Ch. 17.1 - A collar with a mass of 1 kg is rigidly attached...Ch. 17.1 - Two identical slender rods AB and BC are welded...Ch. 17.1 - Prob. 17.24PCh. 17.1 - A 100-kg solid cylindrical disk, 800 mm in...Ch. 17.1 - Prob. 17.26PCh. 17.1 - Greek engineers had the unenviable task of moving...Ch. 17.1 - A small sphere of mass m and radius r is released...Ch. 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...Ch. 17.1 - Prob. 17.33PCh. 17.1 - A bar of mass m = 5 kg is held as shown between...Ch. 17.1 - The 1.5-kg uniform slender bar AB is connected to...Ch. 17.1 - The motion of the uniform rod AB is guided by...Ch. 17.1 - Prob. 17.37PCh. 17.1 - Prob. 17.38PCh. 17.1 - The ends of a 9-lb rod AB are constrained to move...Ch. 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...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 - The experimental setup shown is used to measure...Ch. 17.1 - Prob. 17.51PCh. 17.2 - The 350-kg flywheel of a small hoisting engine has...Ch. 17.2 - Prob. 17.2IMDCh. 17.2 - Prob. 17.3IMDCh. 17.2 - Prob. 17.52PCh. 17.2 - A bolt located 2 in. from the center of an...Ch. 17.2 - A small grinding wheel is attached to the shaft of...Ch. 17.2 - A uniform 144-lb cube is attached to a uniform...Ch. 17.2 - Prob. 17.56PCh. 17.2 - Prob. 17.57PCh. 17.2 - Prob. 17.58PCh. 17.2 - Prob. 17.59PCh. 17.2 - Each of the double pulleys shown has a centroidal...Ch. 17.2 - Each of the gears A and B has a mass of 675 g and...Ch. 17.2 - Two identical uniform cylinders of mass m and...Ch. 17.2 - Two identical 16-lb uniform cylinders of radius r...Ch. 17.2 - Prob. 17.64PCh. 17.2 - Prob. 17.65PCh. 17.2 - Show that, when a rigid body rotates about a fixed...Ch. 17.2 - Prob. 17.68PCh. 17.2 - A flywheel is rigidly attached to a 1.5-in.-radius...Ch. 17.2 - A wheel of radius r and centroidal radius of...Ch. 17.2 - Prob. 17.71PCh. 17.2 - 17.72 and 17.73The 3-lb carriage C is supported as...Ch. 17.2 - Prob. 17.73PCh. 17.2 - Two uniform cylinders, each of mass m = 6 kg and...Ch. 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 - A bowler projects an 8.5-in.-diameter ball...Ch. 17.2 - Prob. 17.79PCh. 17.2 - A satellite has a total weight (on Earth) of 250...Ch. 17.2 - Two 10-lb disks and a small motor are mounted on a...Ch. 17.2 - Prob. 17.82PCh. 17.2 - Prob. 17.83PCh. 17.2 - Prob. 17.84PCh. 17.2 - Prob. 17.85PCh. 17.2 - Prob. 17.86PCh. 17.2 - The 30-kg uniform disk A and the bar BC are at...Ch. 17.2 - Prob. 17.88PCh. 17.2 - A 1.8-kg collar A and a 0.7-kg collar B can slide...Ch. 17.2 - Prob. 17.90PCh. 17.2 - A small 4-lb collar C can slide freely on a thin...Ch. 17.2 - Rod AB has a weight of 6 lb and is attached to a...Ch. 17.2 - A 3-kg uniform cylinder A can roll without sliding...Ch. 17.2 - The 4-kg cylinder B and the 3-kg wedge A are at...Ch. 17.2 - The 6-lb steel cylinder A of radius r and the...Ch. 17.3 - A uniform slender rod AB of mass m is at rest on a...Ch. 17.3 - Prob. 17.5IMDCh. 17.3 - Prob. 17.6IMDCh. 17.3 - At what height h above its center G should a...Ch. 17.3 - A bullet weighing 0.08 lb is fired with a...Ch. 17.3 - In Prob. 17.97, determine (a) the required...Ch. 17.3 - A 16-lb wooden panel is suspended from a pin...Ch. 17.3 - Prob. 17.100PCh. 17.3 - A 45-g bullet is fired with a velocity of 400 m/s...Ch. 17.3 - A 45-g bullet is fired with a velocity of 400 m/s...Ch. 17.3 - The tire shown has a radius R = 300 mm and a...Ch. 17.3 - Prob. 17.104PCh. 17.3 - A uniform slender rod AB of mass m is at rest on a...Ch. 17.3 - A uniform slender rod AB is at rest on a...Ch. 17.3 - A bullet of mass m is fired with a horizontal...Ch. 17.3 - Determine the height h at which the bullet of...Ch. 17.3 - A uniform slender bar of length L = 200 mm and...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 - You have been hired to design a baseball catcher...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 uniform slender rod AB of length L = 600 mm is...Ch. 17.3 - Prob. 17.118PCh. 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 - Prob. 17.121PCh. 17.3 - Prob. 17.122PCh. 17.3 - A slender rod AB is released from rest in the...Ch. 17.3 - Prob. 17.124PCh. 17.3 - Block A has a mass m and is attached to a cord...Ch. 17.3 - Prob. 17.126PCh. 17.3 - 17.127 and 17.128Member ABC has a mass of 2.4 kg...Ch. 17.3 - 17.127 and 17.128Member ABC has a mass of 2.4 kg...Ch. 17.3 - Prob. 17.129PCh. 17.3 - Prob. 17.130PCh. 17.3 - A small rubber ball of radius r is thrown against...Ch. 17.3 - Sphere A of mass m and radius r rolls without...Ch. 17.3 - In a game of pool, ball A is rolling without...Ch. 17 - A uniform disk, initially at rest and of constant...Ch. 17 - The 8-in.-radius brake drum is attached to a...Ch. 17 - A uniform slender rod is placed at corner B and is...Ch. 17 - The motion of the slender 250-mm rod AB is guided...Ch. 17 - A baseball attachment that helps people with...Ch. 17 - Disks A and B are made of the same material, are...Ch. 17 - Disks A and B are made of the same material, are...
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