2.

I. 21600, 6875'49.

8. A=22° 37′ 11′′, 9. 418 4, 430 ft.

6.

9.

12.

III. TRIGONOMETRY AND MENSURATION.

II.

IV. STATICS.

2P.

/ sin a

I + sin a

128.

v√h

4

4.

V. PURE MATH. (1).

8. (B-ma-b)2=k2 (1+m2).

x2 y2
a2 + b2=

12. (1) Parabola.

4. 2Nπ--.

4

B=67° 22′ 48′′, C=90°. Area = 120 sq. ft.
II. 165.748.

DYNAMICS.

3. I ft. from centre of lever.

from free end (a = inclination of plane to horizon).

10. 2",

weight.

=1. Eccentric angle.

VI. PURE MATH. (2).

2160 lbs. weight.

4.

6. -x1-11x5 – 8Kx6 –

8. 27° 15'.

(2) Hyperbola.

9. 3.

Force is W tan a :

7.

I. Yes arranged in same line.

π

I. ±

7. x-y=0.

IO.

19, 1, 80.

I + n-4

II. 80 f. s., 803 f. s.

(c+ak2) (c+bk2) = h2ka.

3.

VII. MECHANICS.

I. St. line through pt. of intersection.

2. Taking AD horizontal D and =95. X=2·05 lbs. and the tensions are I'7, 102, 1.8 lbs.

3. 541, 4710, 78°.

W tan a
W+W"
P-Q
.h.
P+Q

π

6. μg.

A st. line.

8.

43200

10. 1, perpendicular to and 3 along the line of centres: st. line

ข

2

before impact at angle of 30° to line of centres, after impact at angle of 60o.

II. ft.-lb.

xn

12, -60, 60.

(W" weight of plane).

CAMBRIDGE: PRINTED BY C. J. CLAY, M.A. AND SONS, AT THE UNIVERSITY PRESS.