A Companion to Wrigley's Collection of Examples: Being Illustrations of Mathematical Processes and Methods of Solution |
From inside the book
Results 1-5 of 57
Page 245
... from A to the asymptote . When y > -a , or < -b , x is possible ; therefore the curve exists between A and D ; the double value of x gives the same result along CX ' . MECHANICS AND HYDROSTATICS . STATICS . FORCES ACTING IN THE LOCI . 245.
... from A to the asymptote . When y > -a , or < -b , x is possible ; therefore the curve exists between A and D ; the double value of x gives the same result along CX ' . MECHANICS AND HYDROSTATICS . STATICS . FORCES ACTING IN THE LOCI . 245.
Page 246
... FORCES ACTING IN THE SAME PLANE . Ex . 1 . 1. Let AB , AC represent the two forces in direction and magnitude ; then will the diagonal AD of the parallelogram ABCD represent the resultant both in mag- nitude and direction . Let the ...
... FORCES ACTING IN THE SAME PLANE . Ex . 1 . 1. Let AB , AC represent the two forces in direction and magnitude ; then will the diagonal AD of the parallelogram ABCD represent the resultant both in mag- nitude and direction . Let the ...
Page 247
... 3 + 1 ) cos & ; .. cos 2 ( √3 + 1 ) 4 ( √3 + 1 ) I = —— = cos 120 ° ; .. φ = 120 ° . The angle between Q and R = 360 ° — ( 0 + 4 ) = 105 ° . 10. Let X be the resultant of all the forces FORCES ACTING IN THE SAME PLANE . 247.
... 3 + 1 ) cos & ; .. cos 2 ( √3 + 1 ) 4 ( √3 + 1 ) I = —— = cos 120 ° ; .. φ = 120 ° . The angle between Q and R = 360 ° — ( 0 + 4 ) = 105 ° . 10. Let X be the resultant of all the forces FORCES ACTING IN THE SAME PLANE . 247.
Page 248
... forces resolved parallel to Ax , Y .. R Ꭱ . P4 • Pa X 4 Then XP , cos a + P2 cos 60 ° + P3 + cos 90 ° + P1 cos 150 ... forces acting at a , b , c in the manner stated in the question . Then because the sides of the 3 triangle are ...
... forces resolved parallel to Ax , Y .. R Ꭱ . P4 • Pa X 4 Then XP , cos a + P2 cos 60 ° + P3 + cos 90 ° + P1 cos 150 ... forces acting at a , b , c in the manner stated in the question . Then because the sides of the 3 triangle are ...
Page 249
... forces keep each other at rest . p2 + p'2 + 2pp ' cos a = P2 , 15 . p2 + p'2 — 2pp ' = d2 ; C B .. sec2 .. 2pp ' ( 1 + cos a ) = P2 - d2 ; ·· 4pp ' = ( P2 — d2 ) sec2 ; a p + p ' = { P'see ' -d ' ( sec 2 − 1 ) } * = ( P ' - d ' sin ' 2 ) ...
... forces keep each other at rest . p2 + p'2 + 2pp ' cos a = P2 , 15 . p2 + p'2 — 2pp ' = d2 ; C B .. sec2 .. 2pp ' ( 1 + cos a ) = P2 - d2 ; ·· 4pp ' = ( P2 — d2 ) sec2 ; a p + p ' = { P'see ' -d ' ( sec 2 − 1 ) } * = ( P ' - d ' sin ' 2 ) ...
Other editions - View all
A Companion to Wrigley's Collection of Examples: Being Illustrations of ... John Thompson Platts,Alfred Wrigley No preview available - 2016 |
Common terms and phrases
a+b+c a²+b² a²b³ AB² ABCD AC² angle ABC axis BC² beam centre of gravity chord circle co-ordinates coefficient cos² cos³ cosec² curve diameter draw ellipse equal equilateral Eucl Hence hyperbola Join latus rectum Let ABC middle point MULTINOMIAL THEOREMS parabola parallel perpendicular plane point of contact point of intersection r₁ radius required locus right angle roots S₁ sec² segment sides Similarly sin² sin³ square straight line tan² tangent term transformed equation triangle ABC values vertical weight whence X₁