Supplement to High school physical science . point be rigidly con-nected with the body. This is generally known as thePrinciple of the Transmissibility of Force. (2) If two equal opposite forces be introduced into asystem of forces acting on a body, or removed from sucha system, the system of forces will not be disturbed. Definition. Parallel forces are said to be like when they act inthe same direction, unlike when they act in oppositedirections. 1. To Find the Resultant of Two Parallel Forces Acting Upona Rigid Body. (1) When the forces are like. Let P and Q (Fig. 4) be the forces, and A and
Supplement to High school physical science . point be rigidly con-nected with the body. This is generally known as thePrinciple of the Transmissibility of Force. (2) If two equal opposite forces be introduced into asystem of forces acting on a body, or removed from sucha system, the system of forces will not be disturbed. Definition. Parallel forces are said to be like when they act inthe same direction, unlike when they act in oppositedirections. 1. To Find the Resultant of Two Parallel Forces Acting Upona Rigid Body. (1) When the forces are like. Let P and Q (Fig. 4) be the forces, and A and B theirpoints of application; let AH and BK represent them indirection and magnitude. At A and B apply two equaland opposite forces S, S, acting in the line AB. Thesewill balance each other and will not disturb the system. 22 PARALLEL FORCES. 23 Let AD represent one force S, and BE the other forceS. Complete the parallelograms AHFD and BKGE. Let the diagonals FA and GB be produced to meet in OC parallel to AH or BK to meet AB in Now the forces P and S at A may be replaced by theirresultant R]; which is represented by AF, and which maybe supposed to act at O. Similarly the forces Q and S at B may be replaced bytheir resultant R2, which is represented by BG, andwhich also may be supposed to act at O. The force 1^ at O may be resolved into two forces,S parallel to AD, and P in the direction OC. Also the force R2 at O may be resolved into twoforces, S parallel to BE, and Q in the direction OC. Thus finally, instead of the two like forces P, Q appliedto the rigid body at A and B respectively, we now havethe four forces applied at O ; namely, two equal andopposite forces each equal to S, and two like forces Pand Q acting in the line OC. The two forces each equalto S are in equilibrium and may be omitted. 24 SUPPLEMENT TO HIGH SCHOOL PHYSICAL SCIENCE. Hence the resultant of the two original forces P andQ is (P + Q) acting along OC, that is, acting at C in adirection parall
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