Geometrical Optics: Adapted to the Use of the Higher Classes in Schools, Etc |
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Page 10
... shown in Fig . 4. And these may be combined into a single re- Y sultant which is the diagonal of the rectangle of which the two forces are sides ( Art . 11 ) . ΣΥ ΣΧ -X This gives the X- resultant in FIG . 4 magnitude and direction ...
... shown in Fig . 4. And these may be combined into a single re- Y sultant which is the diagonal of the rectangle of which the two forces are sides ( Art . 11 ) . ΣΥ ΣΧ -X This gives the X- resultant in FIG . 4 magnitude and direction ...
Page 14
... FIG . 10 Problem 5. A weight of 10 tons is supported as shown in Fig . 10. Find the force acting in the tie A and the member B. 17. Concurrent Forces in Space . ( 0 ) be acted upon by a system of Z If the material point concurrent ...
... FIG . 10 Problem 5. A weight of 10 tons is supported as shown in Fig . 10. Find the force acting in the tie A and the member B. 17. Concurrent Forces in Space . ( 0 ) be acted upon by a system of Z If the material point concurrent ...
Page 18
... represented by CP - - --------------- A R and CP and their resultant by CR . Take O as the point with respect to which moments are to be taken , and construct P the dotted lines as shown in Fig . 17. The The mo- ment of CP FIG . 17 with ...
... represented by CP - - --------------- A R and CP and their resultant by CR . Take O as the point with respect to which moments are to be taken , and construct P the dotted lines as shown in Fig . 17. The The mo- ment of CP FIG . 17 with ...
Page 20
... FIG . 18 P Τ R1 CASE ( a ) . When the forces are in same direction . The two forces are P and P1 , and the distance between their lines of action is a . For the sake of analysis put in two 1 equal and opposite forces Tas shown in Fig ...
... FIG . 18 P Τ R1 CASE ( a ) . When the forces are in same direction . The two forces are P and P1 , and the distance between their lines of action is a . For the sake of analysis put in two 1 equal and opposite forces Tas shown in Fig ...
Page 21
... shown in Fig . 18. These forces will have no effect as far as the state of motion of the body is concerned . The resultant of T and P is R , and that of T and P1 is R1 . Transfer R and R1 to the point of intersection of their lines of ...
... shown in Fig . 18. These forces will have no effect as far as the state of motion of the body is concerned . The resultant of T and P is R , and that of T and P1 is R1 . Transfer R and R1 to the point of intersection of their lines of ...
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a₁ acceleration angle angular velocity arrow axes axis of rotation axle center of gravity cloth coefficient of friction compression concurrent forces consider constant cord cos² couple Crown 8vo curve cylinder diameter direction disk distance dt dt Edition equal fcap Find the center fly wheel forces acting formula gravity axis hammer horizontal inch inertia with respect kinetic energy length lens line of action M₁ M₂ mass mirror moment of inertia motion moving P₁ P₂ pencil pendulum perpendicular plane point of application preceding problem prism pulley R₁ radians per second radius rays refraction represented resistance revolutions revolutions per minute rigid body seen shaft shown in Fig Simpson's Rule speed square Suppose surface T₁ tangential tension tion v₁ vertical weight work-energy equation x-axis zero