### тИ КщМЕ ОИ ВЯчСТЕР -сЩМТАНГ ЙЯИТИЙчР

дЕМ ЕМТОПъСАЛЕ ЙЯИТИЙщР СТИР СУМчХЕИР ТОПОХЕСъЕР.

### пЕЯИЕВЭЛЕМА

 CHAPTER 4 Solutions 12 CHAPTER III 19 Solutions 28 Solutions 61 CHAPTER V 69 Examples for Practice 87 GULDINS PROPERTIES 95
 Examples for Practice 112 Examples for Practice 120 Examples for Practice 131 CHAPTER VII 137 Solution of Problems 149 CHAPTER VIII 162 ANSWERS TO THE EXAMPLES 195

### дГЛОЖИКч АПОСПэСЛАТА

сЕКъДА 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.
сЕКъДА 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...
сЕКъДА 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...
сЕКъДА 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.
сЕКъДА 90 - Find the distance of the centre of gravity of the remainder from the intersection of the diagonals.
сЕКъДА 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.
сЕКъДА 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.
сЕКъДА 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...
сЕКъДА 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.
сЕКъДА 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.