Mechanics required for the Additional Subjects for Honours at the Previous Examination [at the University of Cambridge], and for the ordinary Degree

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Deighton, Bell and Company, 1867 - Mechanics - 102 pages

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Page 7 - The straight line joining the middle points of two sides of a triangle is parallel to the third side, and equal to half of it.
Page 31 - 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.
Page 18 - When three forces acting at a point are in equilibrium, each force is proportional to the sine of the angle between the other two.
Page 14 - If three forces acting at a point be represented in magnitude and direction by the sides of a triangle taken in order, they will be in equilibrium.
Page 55 - These are usually accounted six in number, viz. the Lever, the Wheel and Axle, the Pulley, the Inclined Plane, the Wedge, and the Screw.
Page 96 - The altitude of a right cone is h, and the diameter of the base is b ; a string is fastened to the vertex and to a point on the circumference of the circular base, and is then put over a smooth peg: shew that if the cone rests with its axis horizontal the length of the string is V(&2 2 XI.
Page 47 - When a body is suspended from a point, it will rest with its centre of gravity in the vertical line passing through the point of suspension.
Page 43 - ... the sides of the triangle formed by joining the middle points of the sides of the original triangle...
Page 32 - The perpendicular distance between the lines of action of the two forces is called the arm, and the product of one of the forces and the arm is called the moment of the couple.
Page 93 - Ex. 1. What force must be exerted to sustain a ton weight on a screw, the thread of which makes 150 turns in the height of 1 foot, the length of the arm being 6 feet ? Ex.

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