Mathematical Problems and Examples, Arranged According to Subjects, from the Senate-House Examination Papers, 1821 to 1836 InclusiveW.P. Grant, 1836 - 335 sider |
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Side 166
... oscillate together , and are again coincident after n oscillations of the first pendulum . Given L to find 7 . 3. In what direction must a body be projected with a given velocity from a point in a given inclined plane , that the range ...
... oscillate together , and are again coincident after n oscillations of the first pendulum . Given L to find 7 . 3. In what direction must a body be projected with a given velocity from a point in a given inclined plane , that the range ...
Side 167
... oscillation , and the point within the sphere at which it must be suspended so as to oscillate in the same time . 16. A body oscillates in a cycloid ; compare the whole tension of the string at any point with the weight of the body . 17 ...
... oscillation , and the point within the sphere at which it must be suspended so as to oscillate in the same time . 16. A body oscillates in a cycloid ; compare the whole tension of the string at any point with the weight of the body . 17 ...
Side 168
... oscillation . 23. A ball whose elasticity perfect elasticity :: n : 1 , 1 , is projected with a given velocity in a ... oscillations in times which are as 5 : 6. Required the value of n . 27. Compare the momentum of a paraboloid with ...
... oscillation . 23. A ball whose elasticity perfect elasticity :: n : 1 , 1 , is projected with a given velocity in a ... oscillations in times which are as 5 : 6. Required the value of n . 27. Compare the momentum of a paraboloid with ...
Side 169
... oscillation ; and the angle at which they must be inclined to each other so that the time of oscillation may be doubled . 34. A weight W is raised upon a moveable pulley . The two extremities of the cord are wound in different ...
... oscillation ; and the angle at which they must be inclined to each other so that the time of oscillation may be doubled . 34. A weight W is raised upon a moveable pulley . The two extremities of the cord are wound in different ...
Side 170
... oscillations . 44. A body projected in a direction parallel to the horizon , and acted upon by the force of gravity , describes a common cycloid ; shew that the resistance of the medium , and the velo- 0 city at any point , vary ...
... oscillations . 44. A body projected in a direction parallel to the horizon , and acted upon by the force of gravity , describes a common cycloid ; shew that the resistance of the medium , and the velo- 0 city at any point , vary ...
Vanlige uttrykk og setninger
acted altitude angular apply attraction axes axis body centre of force centre of gravity chord circle coefficients cone conic section coordinates curvature cycloid cylinder density described determine diameter direction distance drawn earth eccentricity ecliptic ellipse equal equilibrium Explain Find the equation fixed fluid focus force varying geometrical given angle given point given velocity horizontal plane hyperbola inclined Integrate intersection Investigate latitude latus rectum length lens locus logarithmic longitude meridian moon moon's motion Newton nodes orbit oscillation parabola parallel particle passing perpendicular plane triangle position pressure projected Prop prove quantity ratio rays refraction revolving right angles right ascension roots shew sides sin² sine solid of revolution specific gravity sphere spherical reflector spherical triangle spheroid square straight line string surface tangent Trace the curve true anomaly varies inversely vertex vertical weight
Populære avsnitt
Side 3 - ... cuts the base, the rectangle contained by the sides of the triangle is equal to the rectangle contained by the segments of the base, together with the square on the straight line which bisects the angle.
Side 280 - A cone is a solid figure described by the revolution of a right-angled triangle about one of the sides containing the right angle, which side remains fixed.
Side 126 - If two straight lines meeting one another, be parallel to two straight lines which also meet one another, but are not in the same plane with the first two : the plane which passes through the first two is parallel to the plane passing through the others.
Side 2 - IN right angled triangles, the rectilineal figure described upon the side opposite to the right angle, is equal to the similar and similarly described figures upon the sides containing the right angle...
Side 2 - The angles which one straight line makes with another upon one side of it, are either two right angles, or are together equal to two right angles.
Side 255 - If a body be projected from a given point in a given direction with a given velocity...
Side 4 - If a solid angle be contained by three plane angles, any two of them are greater than the third.
Side 157 - To find the magnitude, direction, and point of application of the resultant of any number of parallel forces acting on a rigid body in one plane.
Side 7 - A and B can do a piece of work in m days, B and C in n days, and C and A in p days. In what time can each alone jjerform the work ? 39.
Side 314 - ... varies inversely as the square of the distance of the particle from the centre.