A Collection of Cambridge Mathematical Examination Papers: Papers in the branches of the mixed mathematicsW. P. Grant, 1831 |
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Σελίδα 1
... inclined plane . 3. What force must be exerted to sustain a ton weight on a screw , the thread of which makes 150 turns in the course of 12 inches , and which is acted on by an arm 6 feet long ? 4. If P sustains W on an isosceles wedge ...
... inclined plane . 3. What force must be exerted to sustain a ton weight on a screw , the thread of which makes 150 turns in the course of 12 inches , and which is acted on by an arm 6 feet long ? 4. If P sustains W on an isosceles wedge ...
Σελίδα 2
... inclined plane of given height is proportional to its length . 12. Twelve pounds ' weight is so distributed at the extremities of a cord passing over a pulley , that the more loaded end descends through seven feet in as many hours ...
... inclined plane of given height is proportional to its length . 12. Twelve pounds ' weight is so distributed at the extremities of a cord passing over a pulley , that the more loaded end descends through seven feet in as many hours ...
Σελίδα 3
... inclined plane . 11. A rod of given length rests with one end upon the concave surface of an inverted paraboloid , and passes over a point which is in its focus find the positions in which it rests . 12. A rectangular plane surface ABCD ...
... inclined plane . 11. A rod of given length rests with one end upon the concave surface of an inverted paraboloid , and passes over a point which is in its focus find the positions in which it rests . 12. A rectangular plane surface ABCD ...
Σελίδα 4
... inclined plane , and the time of describing it . 20. A body rolls along the curve of an inverted cycloid , descend ... planes cannot have a resultant . ( 2 ) . Given the magnitudes and directions of three forces acting in different ...
... inclined plane , and the time of describing it . 20. A body rolls along the curve of an inverted cycloid , descend ... planes cannot have a resultant . ( 2 ) . Given the magnitudes and directions of three forces acting in different ...
Σελίδα 7
... plane at Q ; a perfectly elastic ball being dropped from P meets another perfectly elastic ball rebounding with a ... inclined plane ? 6. What is the relation of the power and weight in the second system of pullies , where the same ...
... plane at Q ; a perfectly elastic ball being dropped from P meets another perfectly elastic ball rebounding with a ... inclined plane ? 6. What is the relation of the power and weight in the second system of pullies , where the same ...
Άλλες εκδόσεις - Προβολή όλων
A Collection of Cambridge Mathematical Examination Papers: Papers in the ... John Martin Frederick Wright Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2016 |
Συχνά εμφανιζόμενοι όροι και φράσεις
aberration altitude axis body is projected body moving centre of force centre of gravity chord circle circumference cone convex lens curvature curve cycloid cylinder density descends determine diameter direction distance Earth ecliptic elastic ellipse equal equilibrium Explain Find the centre Find the equation find the position fluid focal length focus force acting force tending force varying given angle given point given velocity given weight horizontal plane hyperbola incident inclined plane JOHN'S COLLEGE latitude latus rectum law of force longitude lowest point magnitude meridian Moon motion Newton's method orifice oscillation parabola paraboloid parallax parallel rays particle passing pencil perpendicular placed pressure prove pulley quantity QUEEN'S COLLEGE radii radius ratio reflected refraction rest revolve right ascension round shew sides sine specific gravity sphere spherical reflector spherical triangle square star straight line string Sun's supposed surface tangent telescope TRINITY COLLEGE vertex vertical vessel
Δημοφιλή αποσπάσματα
Σελίδα 213 - 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 139 - If a body be acted on by a given force and revolve in a circle, the arc described .in any given time is a mean proportional between the diameter of the circle and the space through which a body would descend in the same time from rest if acted on by the same force.
Σελίδα 213 - If the square described upon one of the sides of a triangle, be equal to the squares described upon the other two sides of it ; the angle contained by these two sides is a right angle.
Σελίδα 249 - Prove that the pressure upon any portion of a vessel filled with a fluid of uniform density is equal to the weight of a column of fluid whose base is the area of the surface pressed, and...
Σελίδα 141 - In the logarithmic spiral find an expression for the time of a body's descent from a given point to the centre, and prove that the times of successive revolutions are in geometrical progression. 7. A body acted on by a force varying as (dist...
Σελίδα 247 - Equal triangles which have one angle of the one equal to one angle of the other, have their sides about the equal angles reciprocally proportional: and conversely, triangles which have one angle in the one equal to one angle in the other, and their sides about the equal angles reciprocally proportional, are equal to one another.
Σελίδα 233 - IF a straight line be divided into two equal, and also into two unequal parts; the squares of the two unequal parts are together double of the square of half the line, and of the square of the line between the points of section.
Σελίδα 233 - If a straight line touch a circle, and from the point of contact a...
Σελίδα 238 - Csesar and Pope Gregory. 18. Give the theory of the Trade Winds. 19. Prove that part of the equation of time which arises from the obliquity of the ecliptic to be a maximum when the longitude of the Sun equals the complement of its right ascension. 20. Compare the surface of a sphere with the area of its great circle, and its magnitude with that of its circumscribing cylinder. VOL. II.
Σελίδα 198 - when a body revolves on an axis, and a force is impressed, tending to make it revolve on another, it will revolve on neither, but on a line in the same plane with them, dividing the angle which they contain so that the sines of the parts are in the inverse ratio of the angular velocities with which the body would have revolved about the said axes separately.