An elementary treatise on statics1871 |
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Términos y frases comunes
ABCD angle of friction angle of resistance angular points axis balance base centre of gravity circumference coefficient of friction conditions of equilibrium cone couple cylinder distance equi EXAMPLES FOR PRACTICE extremity false balance find the centre find the conditions find the inclination find the position find the weight fixed point fulcrum given horizontal plane inches inclined plane isosceles triangle length lever limiting angle magnitude and direction mechanical advantage middle point motion number of forces P's virtual P₁ P₂ parallelogram particles perpendicular plane inclined position of equilibrium principle of virtual PROP pyramid radii radius ratio represented in magnitude rest resultant right angles rigid body screw sides sliding steelyard straight line string passing support a weight Suppose surface suspended system of pulleys Take moments tension thread uniform rod upward pressure vertical line wedge wheel and axle
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Página 9 - 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.
Página 10 - If any number of forces acting at a point be represented in magnitude and direction by the sides of a polygon, taken in order...
Página 29 - Two equal circular disks with smooth edges, placed on their flat sides in the corner between two smooth vertical planes inclined at a given angle, touch each other in the line bisecting the angle. Find the radius of the least disk which may be pressed between them without causing them to separate. LXXIV. If two scales, one containing a weight P and the other a weight Q, be suspended by a string over a rough sphere, Q2...
Página 182 - A heavy equilateral triangle hung up on a smooth peg by a string, the ends of which are attached to two of its angular points, rests with one of its sides vertical — shew that the length of the string is double the altitude of the triangle.
Página 90 - Find the distance of the centre of gravity of the remainder from the intersection of the diagonals.
Página 119 - There is an equilibrium upon the wheel and axle when the power is to the weight as the radius of the axle to the radius of the wheel.
Página 154 - A uniform ladder is placed between a rough horizontal plane and a rough vertical wall at an angle of 45°, the coefficient of friction between the ladder and the ground being |; a man, whose weight is half that of the ladder, ascends : find what the coefficient of friction must be between the ladder and the wall that when the man reaches the top of the ladder it may just begin to slip.
Página 114 - LEVER. 1. AC, CB are the equal arms of a straight lever whose fulcrum is C : to C a heavy arm CD is fixed perpendicular to AB. Prove that...
Página 98 - MECHANICAL POWERS are certain simple instruments employed in raising greater weights, or overcoming greater resistance than could be effected by the direct application of natural strength. They are usually accounted six in number; viz. the Lever, the Wheel and Axle, the Pulley, the Inclined Plane, the Wedge, and the Screw.
Página 190 - W is placed with its base on a smooth inclined plane, and supported by a weight W, which hangs by a string fastened to the vertex of the cone, and passing over a pulley in the inclined plane at the same height as the vertex.