Page 24 - Physics Form 5 KSSM_Neat
P. 24

Figure 1.15 shows a force, F acting on a small block
           at an angle, q above the horizontal. The resolution of
           force, F into two components and the magnitudes of the                   F
           two components can be determined by following the steps
           (Figure 1.16).                                                     θ


             KEMENTERIAN PENDIDIKAN MALAYSIA
                                                                     Figure 1.15 Force, F acting on a
                                                                     block





                        1

                           Draw the horizontal
                           component, F  and the vertical              F
                                      x
                           component, F  to form a
                                      y
                           rectangle as shown in the             θ
                           diagram.








                        2

                           Calculate the magnitude of the   F y         F
                           components.
                           F  = F cos θ                           θ
                            x
                           F  = F sin θ                                    F x
                            y



                                 Figure 1.16 Steps in determining the resolution of forces





                                                 Info
                                Explanation with trigonometry:
                                                F        B                C
                                 Triangle ACD: cos θ =   x
                                                F       F          F  θ
                                            F  = F cos θ  y
                                             x
                                                F
                                  Triangle ABC: sin θ =   y    θ
                                                F        A                D
                                            F  = F sin θ               F x
                                             y



             14                                                                         LS   1.2.1
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