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angle applied attached axis balance base beam body centre of gravity circle coefficient of friction common conditions of equilibrium cone couple cylinder determine direction distance draw equal equilibrium EXAMPLES extremities feet figure find the centre fixed point forces acting four fulcrum given heavy Hence hinge horizontal plane inches inclined plane join keep length lever magnitude and direction means middle point motion moving opposite parallel parallel forces particles passing perpendicular placed position position of equilibrium pressure principle PROP prove pulley pyramid radius ratio resistance Resolve forces respectively rest resultant right angles ring rough screw sides sliding smooth square string supported Suppose surface suspended tension thread three forces tion triangle turn uniform vertical virtual velocity wall wedge weight whole
Σελίδα 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.
Σελίδα 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...
Σελίδα 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.
Σελίδα 90 - Find the distance of the centre of gravity of the remainder from the intersection of the diagonals.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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...
Σελίδα 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.