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ELEMENTARY MECHANICS.

BABU HARANCHANDRA BANERJI, M.A., B.L.

Paper-setters-W. H. EVERETT, ESQ., B.A., B.E., M.I.E.E. A. THOMSON, Esq., M.A.

1.

Examiner-F. WALFORD, Esq., A.R.C.S.

The same number of marks is allotted to each question.

Candidates are required to give their answers in their own words
as far as practicable.

Distinguish clearly, and illustrate, uniform speed, variable speed, and average speed.

A man walks a mile in 12 minutes, and a second mile in 15 minutes; he then runs a third mile in 5 minutes; find his average speed (a) in feet per second, (b) in miles per hour.

2. A steamer approaching a landing stage is steering 30° East of North in a river flowing from North to South at 4 miles per hour. At what rate must the steamer move relative to the current if its velocity relative to the bank is in a direction at right angles to the bank? at what rate will it approach the bank ?

Or, Alternatively,

And

II. Explain and illustrate what is meant by composition of velocities. Find the resultant of velocities 2 to the North, 3 to the East, 3 to the South, and 4 to the West.

3. Describe an experiment showing how the acceleration of gravity may be determined approximately by observation of a body sliding down an inclined plane.

Find the time taken by a body to slide from rest down a smooth inclined plane of height 16 feet and length 32 feet, and the velocity acquired on reaching the ground.

(Assume g = = 32.)

4. State Newton's Laws of Motion, and write a note First Law.

on the

A bullet, weighing half an ounce, leaves the muzzle of a rifle barrel, 2 feet long, with a velocity of 2000 feet per second. Find the force acting on the bullet in the barrel, assuming it to be uniform; and also the time taken by the bullet to traverse the barrel.

5. (a) Describe an experiment showing that the acceleration of gravity is the same for all bodies at a given place.

(b) Show that the weight of a body is proportional to its mass.

Or, Alternatively,

V. Draw a diagram showing the essential features of Atwood's machine; and describe an experiment with it to verify the First Law of Motion,

6. Enunciate the theorem known as the Parallelogram of Forces, and show how it may be experimentally verified.

Find the angle between two equal forces P when their resultant is equal to P.

7. State the theorem regarding the magnitude, direction, and point

of application, of the resultant of two like parallel forces acting on a rigid body.

Two men carry a heavy cask of weight 13 cwt., which hangs from a light pole of length 6 feet, each end of which rests on a shoulder of one of the men. The point from which the cask is hung is 1 foot nearer to one man than to the other. What is the pressure on each shoulder?

Or, Alternatively,

VII. Define the moment of a force about a point, and show how it can be represented geometrically.

Describe an experiment showing that if a body, having one point fixed, be acted upon by two forces, and be at rest, then the moments of the two forces about the fixed point are equal but opposite.

8.

Define the centre of gravity of a body, and explain how it can be determined experimentally in the case of a plane lamina.

Show that the centre of gravity of a uniform triangular lamina is the same as that of three equal particles placed at the vertices of the triangle.

The sides of a triangular lamina are 6, 8 and 10 feet in length: find the distance of its centre of gravity from the longest side.

9. A uniform iron rod is of length 6 feet and mass 9 pounds, and from its extremities are suspended masses of 6 and 12 pounds respectively. From what point must the rod be suspended so that it may remain in a horizontal position?

10. Explain and illustrate the three classes of straight levers. Find the relation between the power and the weight when the lever (supposed weightless) is in equilibrium; and hence find in which classes of levers there is mechanical advantage.

Or, Alternatively,

X. Sketch and describe the common balance.

State the requisites of a good balance.

How would you use an incorrect balance to determine correctly the mass of a body?

Intermediate Examinations in Arts and Science.

1910.

Paper-setters

ENGLISH.

(THE HON'BLE MR. JUSTICE ASUTOSH MOOKER-
JEE, SARASWATI, C.S.I., M.A., D.L., D Sc.,
F.R.A.S.. F.R.S.E.

J. N. DAS GUPTA, ESQ., B.A. (Oxon).
REV. A. TOMORY, M.A.

Head Examiner-REV. J. LAMB, M.A., B.D.

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Candidates are required to give their answers in their own words
as far as practicable.

The figures in the margin indicate full marks.

Great importance will be attached to clearness and accuracy of expression and style. Answers will be valued according to quality rather than quantity. Neatness of style and originality of composition are desired.

1. Explain (a) the arguments which Beelzebub urges, and (b) 12 the outlines of the plan which he proposes in his first speech before the Stygian Council.

Or,

Explain Milton's conception of the divisions of infinite space as far as it may be inferred from the Second Book of his Paradise Lost. Say what you know of the history of the composition of the poem.

2. Give in simple English the purport of any two of the following 14 passages:

(a) Let such bethink them, if the sleepy drench

Of that forgetful lake benumb not still,
That in our proper motion we ascend
Up to our native seat: descent and fall

To us is adverse.

(b) Besides what hope the never-ending flight

(c)

(d)

Of future days may bring, what chance, what change;
Worth waiting, since our present lot appears

For happy though but ill, for ill not worst,

If we procure not to ourselves more woe.

Where there is then no good

For which to strive, no strife can grow up there
From faction; for none sure will claim in Hell
Precedence-none, whose portion is so small
Of present pain, that with ambitious mind
Will covet more.

Such murmur fill'd

The assembly, as when hollow rocks retain

The sound of blustering winds, which all night long
Had rous'd the sea, now with hoarse cadence lull
Sea-faring men o'er-watch'd, whose bark by chance,
Or pinnace, anchors in a craggy bay
After the tempest.

3. Give the substance of the following passage, and remark on what appears to you to be its salient features and its characteristic beauties:

As when from mountain-tops the dusky clouds
Ascending, while the north wind sleeps, o'erspread
Heaven's cheerful face, the louring element
Scowls o'er the darken'd landskip snow, or shower;
If chance the radiant sun with farewell sweet
Extend his evening beam, the fields revive,
The birds their notes renew, and bleating herds
Attest their joy, that hill and valley rings.

4. What are the causes which have contributed to the popularity of the Lady of the Lake? Is it just or correct to say that the Lady of the Lake is a novel in verse?

Or,

Give the substance of Ellen's description of the character of Roderick Dhu, indicating the special faults and virtues which she ascribes to him.

5. Explain any three of the following passages, adding notes where necessary :--

(a) Not Katrine, in her mirror blue,

Gives back the shaggy banks more true,
Than every free-born glance confess'd
The guileless movements of her breast.
(b) Good hawk and hound for silvan sport,
Where beauty sees the brave resort,
The honour'd meed be thine!

(c) It was there he met with a wounded doe,
She was bleeding deathfully;

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She warn'd him of the toils below,

O, so faithfully, faithfully!

(d) These drew not for their fields the sword,
Like tenants of a feudal lord,

Nor own'd the patriarchal claim
Of chieftain in their leader's name.

(e) The monarch drank, that happy hour,
The sweetest, holiest draught of Power,-
When it can say, with godlike voice,
Arise, sad virtue, and rejoice!

6. Write philological and explanatory notes on any five of the following words :-Baffle, bead, engine, remorse, swain, sequester, brain, uncouth.

7. How did Arthur come by the brand Excalibur, and how was it restored by him?

Or,

Describe the character of Sir Bedivere as presented in the Passing of Arthur.

8. Write explanatory notes on any two of the following passages:

(a) Not like that Arthur who, with lance in rest,
From spur to plume a star of tournament,
Shot thro' the lists of Camelot, and charged
Before the eyes of ladies and of kings.

(c)

(b) For so the whole round earth is every way
Bound by gold chains about the feet of God.
Like some full-breasted swan
That, fluting a wild carol ere her death,
Ruffles her pure cold plume, and takes the flood
With swarthy webs.

Or,

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(a) The king who fights his people fights himself.
(b) My house are rather they who sware my vows.
(c) God fulfils himself in many ways.

(d) And the new sun rose bringing the new year.

9. Why does Goldsmith speak of the Traveller as a prospect of society'? What do you consider to be the main theme of the poem ?

Or,

Give the substance of the poet's reflections on Italy and the Italians.

10. Explain, with reference to the context, any three of the following:

(a) Honour-that praise which real merit gains,
Or even imaginary worth obtains-

Here passes current.

(b) Where lawns extend that scorn Arcadian pride,
And brighter streams than famed Hydaspes glide.
(e) Hence all obedience bows to these alone,

And talent sinks, and merit weeps unknown.
(d) The wealth of climes where savage nations roam
Pillaged from slaves to purchase slaves at home.
Half a patriot, half a coward grown,
I fly from petty tyrants to the throne.

(e)

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