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(b)   Step 1:          Step 2:            Step 3:            Step 4:                        CHAPTER 1
                 Identify the       Identify the       Identify the formula   Solve the problem
                 problem            information given  that can be used   numerically                    Force and Motion II



                Resultant force acting on the coconut, F    F = ma
              KEMENTERIAN PENDIDIKAN MALAYSIA

                Mass of coconut, m = 2.0 kg                 F  = 2.0 × 9.0
                 Acceleration of coconut, a = 9.0 m s –2        = 18.0 N


             (c)  The coconut accelerates downwards. Therefore, the resultant force is downwards.
             (d) Mass of coconut, m = 2.0 kg                  F  = W – R
                Gravitational acceleration, g = 9.81 m s –2    18.0 = 19.62 − R
                Weight of coconut, W = mg                     R = 19.62 – 18.0
                                    = 2.0 × 9.81                = 1.62 N
                                    = 19.62 N




             Example        2

             A passenger of mass 60 kg is in a lift.
             (a)  Sketch the free body diagram using the symbol W to represent the weight of the passenger
                 and symbol R for the normal reaction from the floor of the lift.
             (b)  Calculate the magnitude of the normal reaction, R when the lift is:
                 (i)  stationary
                 (ii)  moving upwards with an acceleration of 1.2 m s –2
                 (iii) moving with a uniform velocity of 8.0 m s –1
                 [Gravitational acceleration, g = 9.81 m s ]
                                                    –2
                                                                             R
                Solution

             (a)  Figure 1.9 shows the free body diagram of the
                 passenger in the lift.

                                                                            W
                                                                         Figure 1.9
             (b) (i)  Resultant force, F = 0  (ii)  The resultant force     (iii) Resultant force, F = 0
                    R = W                       acts upwards                R = W
                    R = mg                              F = ma              R = 588.6 N
                      = 60 × 9.81                  R – W = ma
                      = 588.6 N                  R – 588.6 = 60 × 1.2
                                                        R = 72 + 588.6
                                                          = 660.6 N




             LS   1.1.4                                                                       11
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