Military examinations. Mathematical examination papers, set for entrance to R.M.A., Woolwich, with answers, by W.F. Austin |
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Página 17
... placed on a smooth table , will generate a velocity of 15 feet per second . 7. When a weight ( P ) lifts another weight ( W ) by means of a string passing over a fixed pulley , find the accelerating force , and the tension of the string ...
... placed on a smooth table , will generate a velocity of 15 feet per second . 7. When a weight ( P ) lifts another weight ( W ) by means of a string passing over a fixed pulley , find the accelerating force , and the tension of the string ...
Página 30
... Newton's Third Law of Motion . How is it exemplified ( 1 ) in the bursting of a shell , ( 2 ) in the motion of two bodies acted upon by their mutual attractions only ? 8. A perfectly elastic ball being placed on a horizontal ( 30 )
... Newton's Third Law of Motion . How is it exemplified ( 1 ) in the bursting of a shell , ( 2 ) in the motion of two bodies acted upon by their mutual attractions only ? 8. A perfectly elastic ball being placed on a horizontal ( 30 )
Página 31
... placed on a horizontal plane between two vertical hard planes , find by geometrical construction the direction in which it must be propelled in order to strike another ball in a given position after one , two , and three reflexions ...
... placed on a horizontal plane between two vertical hard planes , find by geometrical construction the direction in which it must be propelled in order to strike another ball in a given position after one , two , and three reflexions ...
Página 32
... placed on a smooth table ; what forces act upon it ? If the table be inclined , show that some other force must be introduced to keep it at rest . If three equal forces act on a particle , how must they be arranged so as to keep it at ...
... placed on a smooth table ; what forces act upon it ? If the table be inclined , show that some other force must be introduced to keep it at rest . If three equal forces act on a particle , how must they be arranged so as to keep it at ...
Página 43
... placed on a shelf at random , prove that the chance that the volumes of the same works shall all be together is 14. If 3 sin'A + 2 sin B 3 sin2A 2 sin2B - == = 1 0 , 1 prove that sin ( B - A ) = = √ 6 . 9 3 140 . 15. If R be the radius ...
... placed on a shelf at random , prove that the chance that the volumes of the same works shall all be together is 14. If 3 sin'A + 2 sin B 3 sin2A 2 sin2B - == = 1 0 , 1 prove that sin ( B - A ) = = √ 6 . 9 3 140 . 15. If R be the radius ...
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Military Examinations. Mathematical Examination Papers, Set for Entrance to ... Woolwich Roy Military Acad Sin vista previa disponible - 2016 |
Términos y frases comunes
ABCD acceleration ALGEBRA arithmetic axes axis ball base binomial theorem bisected body centre of gravity chord circular measure cone continued fraction cos² curve Define described diameter differential coefficient distance drawn elastic ellipse equiangular equilateral equilibrium Find an expression Find the equation Find the number Find the sum find the value find the velocity forces acting fraction geometrical given straight line harmonic mean horizontal plane hyperbola inclined plane inscribed intersect least common multiple length magnitude middle points number of combinations parabola parallel parallelogram particle pendulum perpendicular positive integer produced pulley PURE MATHEMATICS quadrilateral radius ratio rectangle contained rectangular right angles roots segments sin² sliding smooth solid angle Solve the equation sphere square STATICS string tan-¹ tangent theorem things taken triangle ABC TRIGONOMETRY vertex weight
Pasajes populares
Página 34 - If, from the ends of the side of a triangle, there be drawn two straight lines to a point within the triangle, these shall be less than, the other two sides of the triangle, but shall contain a greater angle. Let...
Página 146 - If a straight line touch a circle, and from the point of contact a straight line be drawn cutting the circle ; the angles which this line makes with the line touching the circle, shall be equal to the angles which are in the alternate segments of the circle.
Página 99 - IF a straight line touch a circle, and from the point of contact a straight line be drawn at right angles to the touching line, the centre of the circle shall be in that line.
Página 34 - To divide a given straight line into two parts, so that the rectangle contained by the whole, and one of the parts, may be equal to the square of the other part.
Página 82 - If from any point without a circle two straight lines be drawn, one of which cuts the circle, and the other touches it ; the rectangle contained by the whole line which cuts the circle, and the part of it without the circle, is equal to the square of the line which touches it.
Página 50 - If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar.
Página 2 - AB be the given straight line ; it is required to divide it into two parts, so that the rectangle contained by the whole, and one of the parts, shall be equal to the square of the other part.
Página 114 - ... the sides containing the obtuse angle, by twice the rectangle contained by the side upon which, when produced, the perpendicular falls, and the straight line intercepted without the triangle between the perpendicular and the obtuse...
Página 18 - If two straight lines cut one another within a circle, the rectangle contained by the segments of one of them, is equal to the rectangle contained by the segments of the other.
Página 130 - The square described on the hypothenuse of a rightangled triangle is equal to the sum of the squares described on the other two sides.