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LO英文中學會考試題預習專欄

物理科

MACHINE

PHYSICS (12),

(十二)

Work is measured by the product of force and displacement, it is obvious that a given amount 01 work can be expressed in a variety of ways. A small force multiplied by a large displacement represents the same amount of a large force multiplied by small dieplacement,

fS. F or

▒- ፥

which suggests that in dong a given amount of work,

a force advantage becomes possible if a corresponding displacement disadvantage is tolerated. Thus we definei

Machine is a device which does work more

easily, with less effort

OT

(b) conveniently, changing the direction of force, (c) quickly, tolerating a larger effort exerted. !he principle of all kinds of machines work with an ¡FFORT which does work on acme part of the machine, and the machine exerts a force which does work on & LOAD

it should be noted that no machine does more work than.

is done on it. Actually the friction introduced by he working parts of machines results in obtaining less work from the machine than work is done on then, Thus the idea of efficiency of a machine is introduced:-

In solving problema, we assume that a fictitiona displacement of the load, and then to figure out the displa coment associated with the applied force,

effort, by considering the dimensions or the geometry in general. In compound machinery, a combination of simple machines, the total velocity ratio is the. product of individual velocity ration.

Machine

Lever

Bleak and tackle

LLLLLLLELLE

{LOAD

Velocity Ratio

Ex L

WIL

V.R. -

effort arm lead arm

英文科 (十二) 王淑方·

LESSON THELVE

CHAPTER TWO

GENERAL ENGLISH

(D)

THE ARTICLES (Continued)

EXERCISE 11

(2)

John is nat

the number of ropes attached to the movable pulleys.

(3)

(4)

(6)

1

V.K.-.

where N is the number of repas concerned.

Archimedean pulleys

V.R. -

where n is the number of movable pulleys

Ganges is

Which is

lion is

honourable man,

hour.

Fill in the blanks with 'a', 'an' or 'the'

(1) Iron is useful meta..

Honest boys speak, truth.

She returned after.

school will close for the New Year Holiday. The tourist guide knows way to the City Hall.

sacred river.

Japanese is. easy language.

longest river in the world?

King of beasts.

EXERCISE 12

Insert the definite article where necessary:

(1).

EDY QUEON

boy over there is, best in the class at Arithmetic.

supervisor inspected al1_work carefully. Jack is a student of architecture.

All work and no play makes Jack a dull boy/

pen is mightier than sword.

In Opinion of Captain Smith this is the, shortest way to Japan.

(7) Duke of Windsor was once King of England. (8) Which language do you know better,

English?

Nathan Road is one of

(9)

Hong Kong,

(10) They always give

German or

busiest roads in,

servant a present at

Efficiency =

Work Output Work Input

LOAD

V.R.

- the ratio of th length of incline to the elevation »

Inclined plane

16

V.R.

W

Wheel and axle

Screw jack

- GRECO Q

V.R, is the ratio of

the radius of the wheel

to the radius of the axle,

V.R.-

4

A ratio of the length of the bar and the piton

If there were a machine which was 100 per cent efficient, the work done by it and the work done on it would be equal. That is an ideal machine. Practically, machine efficiencies are less than 100 por cent

Recalling on the équation

F/f = 3/s

the force ratio /f is usually known as the Mechanical Advantage of the machine. It is defined as the ratio of the load overcome to the effort applied on the machine.

Tha Velòbijy Ratiop S/s, is a modified expression or dietanos ratio. It is defined as the ratio of the distance moved by the effort to the distance moved by the load.

Ralationship of Efficiency, Ke'chanical Advantage, and Velocity Ratio

Efficiency N

Aschanical Advantagei M.A.

Example 12-1

A cylinder

arranged as in diagram below

Velocity Ratio

V.H.

KOTTAY

sy

L

f.R.

-Efficiency of a machine

work outpu work input

Load x distance mo.ed by load Effort x distance moved by effort

x 100%

x 100%

What minimum force f is required if the angle - 30 degrees? The weight of the cylinder is 2 lb. and the elavation h - 2 ft.

*

Load

Effort

distance moved by effort distance moved by load

x 100%

Mechanical Advantage.

Velocity Ratio

x 100%

M.A.

x 100%

Efficiency

The efficiency of a machine is the ratio of two pura numbers and is thus a pure number itself and without dimensions.

The velocity ratio can always be found by considering the geometry or arrangement of the machine, but the mechanical advantages can only be found by experiment, since it is not known how much energy is going to by lost in any particular machine. In fact this energy loss is very rarely constant, but varies with the loa of the machine,

лechanical Aqvantage ana consequently, the rficiency of a machine increases as the load tacones

heavier.

Problem Procedures

Problems involving machines usually deal with- M.A. and V.R. V.R. can generally be dete mined by considering the arrangement and geometry of the devĚCH.

Solution

The arrangement 18 a combination of two mɑonines one is an inolined plane and the other is a movable pulley.

Y.R. of the incline = coseo •

- совет 300

V.R. of the movable pulley - 2

V.R. of the combination - 2 x 2

4..

Thus the animum force the force required if the friction is minimum or when the efficiency is 100%) as found to bet.

M.A. - V.R.'

W

V.R.- 4

ť - W/4 2/4

{"★ lb.wt.

(To be continued)

Christmas time.

(E) PUNCTUATION

The principal stops in writing ares the full stop

the semicolon (;)

the question mark (?), the dash (),

and the apostrophe (')

THE FULL STOP

The full stop is used:

the 'colon

the comma

+

8

*

the exclamation mark (1), quotation marks ('')',

(a) At the end of all sentences except questions and

-exclamations, |

e.gr

We need your help. (Statement,

Stop him from doing that. (Command

(b) After abbreviations such as B. Sc. (Bachelor

Science), U.STA. (« United States of America)

(c) After initials,

(a)

e.g. A. H. Smith,

After contracted words,

Ka Robinson

2.g. Feb. (February), Mar. (= March),

тето. (= memorandum).

THE Comma.

The comma is generally sued:

(a) To record a list of things,

e.g.

At breakfast we had cakes, butter, som pieces of bread, orange juice, milk anı lemonade.

(b) To mark off direct speeen.

*.g.

"Tell'me," he said, "at what time you fell asleep last night,"

"About three o'clock," I replied.

(c) To mark off sentences or clauses where a pause is needed in reading, This is almost always the case when an adverb clause precedes a principal one, e.g.

Although it was snowing, we went out for a walk.

If I can help you, I will help you.!

(d) To mark off words used in addressing a person į

(the Nominative of Address).

e.g. I should be very glad, Dennis, if you would

"do this for me.

(e) To mark off words or phrases like 'however",

'there. re', 'of course', for instance', etc. e.g.

"You know, of course, the way to the general office; I needn't, therefore, to accompany you," said Dennis.

(f) In descriptive titles such as.

Elizabeth II, Queen of Great Britain.............

We saw Mr. Chang, your headmaster, this morning.

(g) To mark off phrases containing à participle when

a pause is required in reading:

e.g.

The Colon

Dick, seeing that his friend was injured. ran quickly to help him..

The Colon is used:

(a) To separate two sentences of which the second explains more fully the meaning of the first. e.g.

Jack's work is satisfactory: his answers are thoughtful, his spelling is careful and his writing is good.

(b) To take the place of a conjunction introducing a

clause of reason.

2.g.

*

Jim didn't go to school yesterday: he was 111 in bed. (= because he was....)

(c) To introduce a number of items in a list, or to

introduce a quotation.

f.go

My mother offered me the choice or any oni of these for a birthday present: a tele- vision set, a bicycle, an electric toaster,

a gramophone.

Shakespeare said: Neither a borrower nor a lender be."

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