Dynamics for beginners

John Bascombe Lock

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IV €! "-• Digitized the Internet Archiveby in 2007 with funding from Microsoft Corporation http://www.archive.org/details/dynamicsforbeginOOIockuoft DYNAMICS FOR BEGINNERS. : r^ DYNAMICS FOR BEGINNERS BY THE REV. B. M.A.LOCK,J. FELLOW AND BURSAR OF CAIUS COLLEGE, CAMBRIDGE] FORMERLY MASTER AT ETON. STEREOTYPED.THIRD EDITION, Uonfcon MACMILLAN AND CO. AND NEW YORK. 1890 Rights resei-ved.[All First Edition, April 1887. Reprinted Sept. 1887. Second Edition, 1888. Third 1890. miles ; or, miles.5A 760 x1 3 NOTE. It is most important to notice that a point which has velocity requires an interval time in which toof pass over afinite distance. A point P may have velocity at a certain instant, but unless the velocity continues during some interval after that the point does not pass over any finite distance. example, a bullet which strikes a target is saidFor to have a certain velocity at the instant at which it strikes. EXAMPLES. I. N. B. In each the questions the velocitygivenof following is uniform. If I run 100 yards in 1 1 seconds, what is my velocity in velos ?1. 2. A man runs at the rate of velos how long would he take to7 ; run a mile with this velocity ? 3. Express in miles per hour (i) 40 velos, (ii) 100 yds. per minute. I 2 ;; DYNAMICS. I.4 many velos has the extremity (i) of the minute hand ofHow4. handwhich is i foot long, (ii) of the hour which is 10 in. long.a clock the diameter.

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• Dynamics

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• Publié par: les_archives_du_savoir
• Nombre de lectures: 8
• Langue: English
• Poids de l'ouvrage: 11 Mo

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IV
€!
"-•Digitized the Internet Archiveby
in 2007 with funding from
Microsoft Corporation
http://www.archive.org/details/dynamicsforbeginOOIockuoftDYNAMICS
FOR
BEGINNERS.:
r^ DYNAMICS
FOR
BEGINNERS
BY THE
REV. B. M.A.LOCK,J.
FELLOW AND BURSAR OF CAIUS COLLEGE, CAMBRIDGE]
FORMERLY MASTER AT ETON.
STEREOTYPED.THIRD EDITION,
Uonfcon
MACMILLAN AND CO.
AND NEW YORK.
1890
Rights resei-ved.[AllFirst Edition, April 1887.
Reprinted Sept. 1887.
Second Edition, 1888.
Third 1890.
<*$*PREFACE.
This work has been written in the hope of supplying
a want which I believe is very widely felt ; viz. of a ofbook explains the elementary principles
Dynamics, illustrating them by numerous easy nu-
merical examples in a manner suitable for use in
attain-Schools with boys of ordinary mathematical
ments.
I have adopted a suggestion, due believe— I to
Mr Hayward, F.R.S., of Harrow School—that the first
part of the book should treat exclusively of Linear
Dynamics thus avoiding,; at the beginning of the
subject, all purely geometrical difficulties.
It will be found that, with the exception of one or
Articles,two Sections I. and IV. (which may be read
separately, and in which the fundamental Principles
Dynamics are explained) demandof only a know-
ledge of Simple Equations in Algebra. In no case is
any greater knowledge on the part of the Student
assumed, than is denoted by Progressions Algebra,in
the Trigonometry of one Angle, and (in Chapters IX.
and X.) the Parabola.
I have ventured to suggest names for the units of
velocity and acceleration, the use of which will be
simplify considerably the language of thefound to
subject.
I should be greatly obliged to those who may
book if they would point out anymake use of the
defects or obscurities in the text or would offer
suggestions for its improvement.VI PREFACE.
In the SECOND EDITION (which has been
made,stereotyped) many verbal alterations have been
for the sake of greater precision of statement.
The work has been received with such unqualified
approval so many Teachers that no serious altera-by
tion has been thought necessary.
Of the value for the purposes of teaching and
explanation of the names velo and celo I have received
the very strongest testimony from those best qualified
to judge.
revision great assist-In the verbal I have received
ance from Mr C. Trautwine, Junior, C.E. of Philadel-J.
phia, U.S.A.; who has taken great interest in pointing
out to me those passages which might be obscure to
Practical Engineers.
In the THIRD EDITION a few corrections have
been made and at the request ofmany teachers a col-
lection of over 200 miscellaneous problems has been
added.
B. LOCK.J.
February\ 1890.
NOTE.
The Examination Papers appended to the Book in most
cases sufficiently indicate the range of the various Examin-
ations.
The following suggestions however may be found useful.
For the Dynamics of the Additional Subjects in the
Previous Examination at Cambridge, the Student may
confine his attention Sectionto I. up to the end of page 63,
Section II. and Art. of Chapter XI.134
For the First M.B. Examination, in addition to the
above, the Student should Section IV.read
Those Articles which are marked with an asterisk may in
most cases be reserved with advantage for a second reading
of the subject.