Woolwich Mathematical Papers for Admission Into the Royal Military Academy: For 1891-1900Eldred John Brooksmith 1901 |
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Σελίδα 7
... centre of gravity . 4. Show how to find the centre of gravity of a body composed of two parts whose weights and centres of gravity are known . A solid figure is formed of an upright triangular prism surmounted by a pyramid ; if the ...
... centre of gravity . 4. Show how to find the centre of gravity of a body composed of two parts whose weights and centres of gravity are known . A solid figure is formed of an upright triangular prism surmounted by a pyramid ; if the ...
Σελίδα 15
... centre of gravity of m , m ' . Hence show that if G is the centre of gravity of the masses m , m ' , m " at any three points A , B , C , the three forces make equilibrium . m.AG , m'.BG , m " .CG If OA , OB , OC are three diverging bars ...
... centre of gravity of m , m ' . Hence show that if G is the centre of gravity of the masses m , m ' , m " at any three points A , B , C , the three forces make equilibrium . m.AG , m'.BG , m " .CG If OA , OB , OC are three diverging bars ...
Σελίδα 7
... gravity may be taken as equal to 32. ] I. State and prove the proposition known as the " Polygon of Forces ... centre of mass of a uniform triangular board . The sides AB , BC , CD , DA , of a trapezium are of lengths 54 , 36 , 27 , 45 ...
... gravity may be taken as equal to 32. ] I. State and prove the proposition known as the " Polygon of Forces ... centre of mass of a uniform triangular board . The sides AB , BC , CD , DA , of a trapezium are of lengths 54 , 36 , 27 , 45 ...
Σελίδα 9
... gravity may be taken as equal to 32. ] I. State and prove the proposition known as the " Polygon of Forces ... centre of mass of a uniform triangular board . The sides AB , BC , CD , DA , of a trapezium are of lengths 54 , 36 , 27 , 45 ...
... gravity may be taken as equal to 32. ] I. State and prove the proposition known as the " Polygon of Forces ... centre of mass of a uniform triangular board . The sides AB , BC , CD , DA , of a trapezium are of lengths 54 , 36 , 27 , 45 ...
Σελίδα
... gravity are X1 , V1 ; X2 , V2 ; respectively . Find the coordinates of the centre of gravity of the system . .. A square board is divided into 36 equal squares by lines drawn parallel to the sides . A figure is formed by taking the Ist ...
... gravity are X1 , V1 ; X2 , V2 ; respectively . Find the coordinates of the centre of gravity of the system . .. A square board is divided into 36 equal squares by lines drawn parallel to the sides . A figure is formed by taking the Ist ...
Άλλες εκδόσεις - Προβολή όλων
Woolwich Mathematical Papers for Admission Into the Royal Military Academy ... Eldred John Brooksmith,Woolwich Royal Military Academy Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2016 |
Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD ALGEBRA angle of friction ARITHMETIC arithmetical progression attached to accuracy axes axis base Binomial Theorem bisected body cent centre of gravity chord coefficient of friction conic coordinates cosec cosine described diameter directrix distance drawn ellipse equal equilateral triangle equilibrium expression feet per second Find the equation Find the number Find the tension Find the value Full marks geometrical given circle given point given straight line horizontal plane hyperbola inches inclined plane inscribed intersection latus rectum length line joining locus logarithms middle point miles an hour moving parabola parallel parallelogram passes perpendicular point of projection position Prove pulley PURE MATHEMATICS quadrilateral radius ratio rectangle contained respectively rest right angles Royal Military Academy SECOND PAPER sides square STATICS AND DYNAMICS string subtends tangent triangle ABC TRIGONOMETRY velocity vertex vertical plane weight
Δημοφιλή αποσπάσματα
Σελίδα 1 - 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.
Σελίδα 14 - 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.
Σελίδα 14 - In every triangle, the square of the side subtending either of the acute angles is less than the squares of the sides containing that angle, by twice the rectangle contained by either of these sides, and the straight line intercepted between the perpendicular let fall upon it from the opposite angle, and the acute angle.
Σελίδα 7 - Prove that the algebraic sum of the moments of two concurrent forces about any point in their plane is equal to the moment of their resultant about the same point.
Σελίδα 15 - IF a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one another...
Σελίδα 16 - 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, shall be equal to the square of the line which touches it.
Σελίδα 2 - ... 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...
Σελίδα 1 - If two triangles have two sides of the one equal to two sides of the other...
Σελίδα 15 - If a straight line be divided into any two parts, the squares on the whole line and on one of the parts are equal to twice the rectangle contained by the whole and that part, together with the square on the other part.