Military examinations. Mathematical examination papers, set for entrance to R.M.A., Woolwich, with answers, by W.F. Austin |
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Página 14
... resultant . 2. Define a couple , and the moment of a couple . Prove that the effect of a couple is not altered if its arm be turned about one end on the plane of the couple through any angle . Find the resultant of any number of couples ...
... resultant . 2. Define a couple , and the moment of a couple . Prove that the effect of a couple is not altered if its arm be turned about one end on the plane of the couple through any angle . Find the resultant of any number of couples ...
Página 32
... resultant pressure on the boat down the stream . 3. State and prove the condition of equilibrium of a straight lever without weight acted on by any two forces at its extremities . AB , a uniform rod of weight ( W ) , movable in a ...
... resultant pressure on the boat down the stream . 3. State and prove the condition of equilibrium of a straight lever without weight acted on by any two forces at its extremities . AB , a uniform rod of weight ( W ) , movable in a ...
Página 46
... resultant of two parallel forces acting in the same direction . Forces proportional to AB , BC , and 2CA act along the sides of the triangle ABC taken in order , find the magnitude and line of action of the resultant force . 3. A string ...
... resultant of two parallel forces acting in the same direction . Forces proportional to AB , BC , and 2CA act along the sides of the triangle ABC taken in order , find the magnitude and line of action of the resultant force . 3. A string ...
Página 62
... resultant of two forces acting at a point , and explain the use of a parallelogram in determining this resultant . A material particle P is attracted to three points A , B , C by forces proportional to the distances PA , PB , PC ; prove ...
... resultant of two forces acting at a point , and explain the use of a parallelogram in determining this resultant . A material particle P is attracted to three points A , B , C by forces proportional to the distances PA , PB , PC ; prove ...
Página 78
... resultant , prove that the moment of that resultant about any point in the plane of the forces is equal to the algebraic sum of the moments of the forces about the same point . Prove also that when the forces do not admit of a single ...
... resultant , prove that the moment of that resultant about any point in the plane of the forces is equal to the algebraic sum of the moments of the forces about the same point . Prove also that when the forces do not admit of a single ...
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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 curve Define described diameter differential coefficient distance drawn elastic ellipse equiangular equilateral equilibrium feet per second 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 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.