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In Fig. 7.15, A, B, C and D are the four pendulums suspended from the sameelastic string XY. Thelengths of pendulum Aand D are equal, whilethe length of pendulum Bis shorter and of thependulum C is longer.The pendulum A is setFig. 7.15into vibrations.(a) What is your observation about the vibrations cpendulum D ? (b) Give reason for your observatioin part (a). (C) What type of vibrations take place ipendulums B and C ? (d) Give reason for the answin part (c). |
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Answer» a. pendulum C vibrates with smaller amplitude. SINCE pendulum D and A are of same length the vibrate with the same amplitudes.b. the natural frequency of Pendulum B is EQUAL to the frequency of vibration of Pendulum A since both are of equal length. so, the forced vibration caused in pendulum B are in resonance with vibrations of Pendulum A. on the other HAND the natural frequency of Pendulum C is higher while of D is smaller than that of Pendulum A. vibrates with the same frequency of Pendulum A bit smaller amplitude due to forced vibration |
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