Mechanics for beginners |
From inside the book
Results 1-5 of 51
Page 3
... , are inserted in the figure . P B A Ꭱ C 13. We find by experiment that if a body be set free it will fall downwards in a certain direction ; if it start again from the same point as before it will reach 1-2 INTRODUCTION . 3.
... , are inserted in the figure . P B A Ꭱ C 13. We find by experiment that if a body be set free it will fall downwards in a certain direction ; if it start again from the same point as before it will reach 1-2 INTRODUCTION . 3.
Page 4
... falling by the interposi- tion of a hand or a table , the body exerts a pressure on the hand or table . Weight is the name given to the pressure which the attraction of the earth causes a body to exert on another with which it is in ...
... falling by the interposi- tion of a hand or a table , the body exerts a pressure on the hand or table . Weight is the name given to the pressure which the attraction of the earth causes a body to exert on another with which it is in ...
Page 21
... falls between D and E. Draw KG parallel to CA. Then two forces represented by AC and AG have a resultant in the direction AK , because the forces are commensurable . Therefore the forces AC and AB are equivalent to a force AK , together ...
... falls between D and E. Draw KG parallel to CA. Then two forces represented by AC and AG have a resultant in the direction AK , because the forces are commensurable . Therefore the forces AC and AB are equivalent to a force AK , together ...
Page 38
... draw the diagonal AD , which will represent the resultant force . Let O be the point round which the moments are to be taken ; join OA , ÓB , OC , OD . I. Let O fall without the angle BAC and that 38 MOMENTS . Moments.
... draw the diagonal AD , which will represent the resultant force . Let O be the point round which the moments are to be taken ; join OA , ÓB , OC , OD . I. Let O fall without the angle BAC and that 38 MOMENTS . Moments.
Page 39
... fall within the angle BAC or its vertically opposite angle . The triangle AOC is equal to the difference of the tri- angles ABD and OBD . For the former has the base AC , and each of the latter has the equal base BD ; and the ...
... fall within the angle BAC or its vertically opposite angle . The triangle AOC is equal to the difference of the tri- angles ABD and OBD . For the former has the base AC , and each of the latter has the equal base BD ; and the ...
Contents
187 | |
194 | |
207 | |
210 | |
214 | |
228 | |
235 | |
248 | |
70 | |
89 | |
98 | |
107 | |
116 | |
122 | |
133 | |
140 | |
145 | |
152 | |
164 | |
177 | |
259 | |
264 | |
269 | |
279 | |
291 | |
295 | |
304 | |
312 | |
324 | |
331 | |
335 | |
339 | |
Other editions - View all
Common terms and phrases
ABCD acceleration algebraical sum angular points axis balance beam bisects body or system centre of gravity circle coefficient of friction components conditions of equilibrium cos² couple cylinder denote described determine distance equi Euclid example feet find the centre fixed point fulcrum given heavy particles Hence horizontal plane impact inches inclined plane Law of Motion length line of action lower block magnitude and direction mechanical advantage middle point move moveable Pully P+Q+R parabola Parallelogram of Forces perpendicular point of application point of projection position Power preceding Article pressure proposition radius ratio Resolved displacement respectively rest right angles rigid body Screw shew single resultant smooth string which passes system of forces System of Pullies Take moments round tension three forces tion triangle turn round uniform vanishes velocity vertical weight Wheel and Axle
Popular passages
Page 327 - The squares of the periodic times are proportional to the cubes of the major axes of the orbits.
Page 295 - Change of motion is proportional to the impressed force, and takes place in the direction of the straight line in which the force acts.
Page 295 - Every body continues in its state of rest or of uniform motion in a straight line, except in so far as it may be compelled by impressed forces to change that state.
Page 10 - ... is represented in magnitude and direction by that diagonal of the parallelogram which passes through the particle.
Page 237 - ... point, then the resultant velocity will be represented in magnitude and direction by the diagonal, drawn from that point, of the parallelogram constructed on the two straight lines as adjacent sides.
Page 134 - This proportion teaches us that, when in equilibrium, the power is to the weight as the height of the plane is to its length.
Page 96 - The straight lines which join the middle points of the opposite sides of any quadrilateral bisect each other...
Page 16 - If three forces acting on a particle keep it in equilibrium, each force is proportional to the sine of the angle between the directions of the other two.
Page 13 - Then it is obvious that the particle will be in equilibrium; for there is no reason why it should move in one direction rather than in another.
Page 290 - A ball is projected in a given direction within a fixed horizontal hoop, so as to go on rebounding from the surface of the hoop ; find the limit to which the velocity will approach, and shew that it attains this limit in a finite time, e being less than 1.