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                                                 Answer ALL questions.

                                Write your answers in the spaces provided in this booklet.

             1.     (a)   In this experiment, you will investigate the relationship between the period of oscillation
                       of a cantilever and the mass attached at its end; and use this relationship to determine the
                       Young modulus of wood.                                                                          DO NOT WRITE IN THIS AREA


                       You are provided with the following pieces of apparatus:

                      •    G clamp
                      •    A metre ruler
                      •    Six 100-g slotted masses
                      •    Stopwatch
                      •    Pencil or biro
                      •    Thick rubber band
                      •    Vernier caliper





                                                                                                      M
                                                                           L                                           DO NOT WRITE IN THIS AREA






                                           Figure 1. Diagram of set-up of apparatus



                     Procedure:


                    1.      Using  your  Vernier  caliper,  measure  and  record  the  values  for  the  width,  W,  and
                                 thickness, t, of the metre ruler.
                    2.      Set up the apparatus as shown in Figure 1 with one end securely clamped to the bench.
                            Ensure that the length, L, of the metre ruler is set to 90 cm.
                         3.     Using your rubber band, secure a 100-g mass to the end of the ruler.  Ensure that the
                            masses line up exactly with the end of the ruler.
                         4.     Displace the ruler slightly and record the time for 15 oscillations.  Repeat this step to
                            find an average value.                                                                     DO NOT WRITE IN THIS AREA
                        5.      Add another 100-g mass to the end of the ruler.  Secure with a rubber band and record
                           the time for 15 oscillations.
                        6.     Repeat steps 4 and 5 until you have completed the oscillations with 600 g on the end of
                           the ruler.
                       7.      Record your measurements in Table 1.
                       8.      Determine the values of the period, T, lg m and lg T and record these values in Table 1.


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