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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Question
Chapter 19.1, Problem 19.24P
To determine
(a)
The mass of block C.
To determine
(b)
The period of vibration when only block C is attached and other two blocks A and B are removed.
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20.
[Ans. 9; 71.8 mm]
A semi-elliptical laminated spring is made of 50 mm wide and 3 mm thick plates. The length between
the supports is 650 mm and the width of the band is 60 mm. The spring has two full length leaves and
five graduated leaves. If the spring carries a central load of 1600 N, find:
1. Maximum stress in full length and graduated leaves for an initial condition of no stress in the
leaves.
2. The maximum stress if the initial stress is provided to cause equal stress when loaded.
[Ans. 590 MPa ; 390 MPa ; 450 MPa ; 54 mm]
3. The deflection in parts (1) and (2).
Q6/ A helical square section spring is set inside another, the outer spring having a free
length of 35 mm greater than the inner spring. The dimensions of each spring are as
follows:
Mean diameter (mm)
Side of square section (mm)
Active turns
Outer
Inner
Spring
Spring
120
70
8
7
20
15
Determine the (1) Maximum deflection of the two springs and (2) Equivalent spring
rate of the two springs after sufficient load has been applied to deflect the outer
spring 60 mm. Use G = 83 GN/m².
Q2/ The bumper springs of a railway carriage are to be made of rectangular section wire.
The ratio of the longer side of the wire to its shorter side is 1.5, and the ratio of mean
diameter of spring to the longer side of wire is nearly equal to 6. Three such springs
are required to bring to rest a carriage weighing 25 kN moving with a velocity of
75 m/min with a maximum deflection of 200 mm. Determine the sides of the
rectangular section of the wire and the mean diameter of coils when the shorter side is
parallel to the axis of the spring. The allowable shear stress is not to exceed 300 MPa
and G = 84 kN/mm².
Q6/ A belical
Chapter 19 Solutions
Vector Mechanics For Engineers
Ch. 19.1 - A particle moves in simple harmonic motion....Ch. 19.1 - A particle moves in simple harmonic motion....Ch. 19.1 - Prob. 19.3PCh. 19.1 - Prob. 19.4PCh. 19.1 - Prob. 19.5PCh. 19.1 - A 20-lb block is initially held so that the...Ch. 19.1 - Prob. 19.7PCh. 19.1 - A simple pendulum consisting of a bob attached to...Ch. 19.1 - Prob. 19.9PCh. 19.1 - A 5-kg fragile glass vase is surrounded by packing...
Ch. 19.1 - Prob. 19.11PCh. 19.1 - Prob. 19.12PCh. 19.1 - Prob. 19.13PCh. 19.1 - Prob. 19.14PCh. 19.1 - Prob. 19.15PCh. 19.1 - Prob. 19.16PCh. 19.1 - Prob. 19.17PCh. 19.1 - Prob. 19.18PCh. 19.1 - Prob. 19.19PCh. 19.1 - Prob. 19.20PCh. 19.1 - A 50-kg block is supported by the spring...Ch. 19.1 - Prob. 19.22PCh. 19.1 - Two springs with constants k1and k2are connected...Ch. 19.1 - Prob. 19.24PCh. 19.1 - Prob. 19.25PCh. 19.1 - Prob. 19.26PCh. 19.1 - Prob. 19.27PCh. 19.1 - From mechanics of materials it is known that when...Ch. 19.1 - Prob. 19.29PCh. 19.1 - Prob. 19.30PCh. 19.1 - Prob. 19.31PCh. 19.1 - Prob. 19.32PCh. 19.1 - Prob. 19.33PCh. 19.1 - Prob. 19.34PCh. 19.1 - Using the data of Table 19.1, determine the period...Ch. 19.1 - Prob. 19.36PCh. 19.2 - Prob. 19.37PCh. 19.2 - Prob. 19.38PCh. 19.2 - A 6-kg uniform cylinder can roll without sliding...Ch. 19.2 - A 6-kg uniform cylinder is assumed to roll without...Ch. 19.2 - Prob. 19.41PCh. 19.2 - Prob. 19.42PCh. 19.2 - A square plate of mass m is held by eight springs,...Ch. 19.2 - Prob. 19.44PCh. 19.2 - Prob. 19.45PCh. 19.2 - Prob. 19.46PCh. 19.2 - Prob. 19.47PCh. 19.2 - Prob. 19.48PCh. 19.2 - Prob. 19.49PCh. 19.2 - Prob. 19.50PCh. 19.2 - A thin homogeneous wire is bent into the shape of...Ch. 19.2 - A compound pendulum is defined as a rigid body...Ch. 19.2 - Prob. 19.53PCh. 19.2 - Prob. 19.54PCh. 19.2 - Prob. 19.55PCh. 19.2 - Two uniform rods each have a mass m and length I...Ch. 19.2 - Prob. 19.57PCh. 19.2 - A 1300-kg sports car has a center of gravity G...Ch. 19.2 - A 6-lb slender rod is suspended from a steel wire...Ch. 19.2 - A uniform disk of radius r=250 mm is attached at A...Ch. 19.2 - Two uniform rods, each of weight W=24 lb and...Ch. 19.2 - Prob. 19.62PCh. 19.2 - Prob. 19.63PCh. 19.2 - Prob. 19.64PCh. 19.2 - Prob. 19.65PCh. 19.2 - A uniform equilateral triangular plate with a side...Ch. 19.2 - Prob. 19.67PCh. 19.2 - Prob. 19.68PCh. 19.3 - Prob. 19.69PCh. 19.3 - Prob. 19.70PCh. 19.3 - Prob. 19.71PCh. 19.3 - Prob. 19.72PCh. 19.3 - Prob. 19.73PCh. 19.3 - Prob. 19.74PCh. 19.3 - Prob. 19.75PCh. 19.3 - Prob. 19.76PCh. 19.3 - A uniform disk of radius r and mass m can roll...Ch. 19.3 - Prob. 19.78PCh. 19.3 - Prob. 19.79PCh. 19.3 - Prob. 19.80PCh. 19.3 - A slender 10-kg bar AB with a length of l=0.6 m is...Ch. 19.3 - Prob. 19.82PCh. 19.3 - Prob. 19.83PCh. 19.3 - Prob. 19.84PCh. 19.3 - A homogeneous rod of weight W and length 2l is...Ch. 19.3 - Prob. 19.86PCh. 19.3 - Prob. 19.87PCh. 19.3 - Prob. 19.88PCh. 19.3 - Prob. 19.89PCh. 19.3 - Prob. 19.90PCh. 19.3 - Two 6-lb uniform semicircular plates are attached...Ch. 19.3 - Prob. 19.92PCh. 19.3 - The motion of the uniform rod AB is guided by the...Ch. 19.3 - Prob. 19.94PCh. 19.3 - Prob. 19.95PCh. 19.3 - Prob. 19.96PCh. 19.3 - Prob. 19.97PCh. 19.3 - Prob. 19.98PCh. 19.4 - Prob. 19.99PCh. 19.4 - Prob. 19.100PCh. 19.4 - Prob. 19.101PCh. 19.4 - Prob. 19.102PCh. 19.4 - Prob. 19.103PCh. 19.4 - Prob. 19.104PCh. 19.4 - Prob. 19.105PCh. 19.4 - Prob. 19.106PCh. 19.4 - Prob. 19.107PCh. 19.4 - The crude-oil pumping rig shown is driven at 20...Ch. 19.4 - Prob. 19.109PCh. 19.4 - Prob. 19.110PCh. 19.4 - Prob. 19.111PCh. 19.4 - Prob. 19.112PCh. 19.4 - Prob. 19.113PCh. 19.4 - Prob. 19.114PCh. 19.4 - Prob. 19.115PCh. 19.4 - Prob. 19.116PCh. 19.4 - Prob. 19.117PCh. 19.4 - Prob. 19.118PCh. 19.4 - Prob. 19.119PCh. 19.4 - Prob. 19.120PCh. 19.4 - Prob. 19.121PCh. 19.4 - Prob. 19.122PCh. 19.4 - Prob. 19.123PCh. 19.4 - Prob. 19.124PCh. 19.4 - Prob. 19.125PCh. 19.4 - A small trailer and its load have a total mass of...Ch. 19.5 - Prob. 19.127PCh. 19.5 - Prob. 19.128PCh. 19.5 - Prob. 19.129PCh. 19.5 - Prob. 19.130PCh. 19.5 - Prob. 19.131PCh. 19.5 - Prob. 19.132PCh. 19.5 - Prob. 19.133PCh. 19.5 - Prob. 19.134PCh. 19.5 - Prob. 19.135PCh. 19.5 - Prob. 19.136PCh. 19.5 - Prob. 19.137PCh. 19.5 - A 0.9-kg block B is connected by a cord to a...Ch. 19.5 - Prob. 19.139PCh. 19.5 - Prob. 19.140PCh. 19.5 - Prob. 19.141PCh. 19.5 - Prob. 19.142PCh. 19.5 - Prob. 19.143PCh. 19.5 - Prob. 19.144PCh. 19.5 - Prob. 19.145PCh. 19.5 - Prob. 19.146PCh. 19.5 - Prob. 19.147PCh. 19.5 - Prob. 19.148PCh. 19.5 - A simplified model of a washing machine is shown....Ch. 19.5 - Prob. 19.150PCh. 19.5 - Prob. 19.151PCh. 19.5 - Prob. 19.152PCh. 19.5 - Prob. 19.153PCh. 19.5 - Prob. 19.154PCh. 19.5 - Prob. 19.155PCh. 19.5 - Prob. 19.156PCh. 19.5 - Write the differential equations defining (a) the...Ch. 19.5 - Write the differential equations defining (a) the...Ch. 19 - Prob. 19.159RPCh. 19 - Prob. 19.160RPCh. 19 - Prob. 19.161RPCh. 19 - Prob. 19.162RPCh. 19 - Prob. 19.163RPCh. 19 - Prob. 19.164RPCh. 19 - A 4-lb uniform rod is supported by a pin at O and...Ch. 19 - Prob. 19.166RPCh. 19 - Prob. 19.167RPCh. 19 - Prob. 19.168RPCh. 19 - Prob. 19.169RPCh. 19 - Prob. 19.170RP
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