Mechanics for beginners |
From inside the book
Results 1-5 of 20
Page 9
... difference , and acts in the direction of the greater force . This is obvious . For example , if a force of 5 lbs . and a force of 3 lbs . act on a particle in opposite directions their resultant is a force of 2 lbs . , acting in the ...
... difference , and acts in the direction of the greater force . This is obvious . For example , if a force of 5 lbs . and a force of 3 lbs . act on a particle in opposite directions their resultant is a force of 2 lbs . , acting in the ...
Page 23
... - sultant of all the forces is equal to the difference of those two sums , and acts in the direction of the greater sum . If the forces acting in one direction are reckoned posi- EXAMPLES . II . 23 Forces in one plane acting on a particle.
... - sultant of all the forces is equal to the difference of those two sums , and acts in the direction of the greater sum . If the forces acting in one direction are reckoned posi- EXAMPLES . II . 23 Forces in one plane acting on a particle.
Page 36
... difference of the sums of the moments of the two kinds , and being of the same kind as the couples which have the greater sum of moments . 71. A single force and a couple in one plane are equivalent to the same single force acting in a ...
... difference of the sums of the moments of the two kinds , and being of the same kind as the couples which have the greater sum of moments . 71. A single force and a couple in one plane are equivalent to the same single force acting in a ...
Page 39
... 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 perpendicular from O on AC is equal to the dif- ference of the perpendi- culars from A and O on BD . B ...
... 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 perpendicular from O on AC is equal to the dif- ference of the perpendi- culars from A and O on BD . B ...
Page 40
... difference of the moments of P and Q. Thus for two like parallel forces the moment of the resultant is always equal to the algebraical sum of the moments of the components . In a similar manner the proposition may be established for the ...
... difference of the moments of P and Q. Thus for two like parallel forces the moment of the resultant is always equal to the algebraical sum of the moments of the components . In a similar manner the proposition may be established for 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.