Railways NTPC (Technical Ability) Theory of Machines and Machine Design Question Bank Theory of Machines

  • question_answer
    The pitching of a ship in the ocean is an oscillatory periodic motion. A ship is pitching \[6{}^\circ \] above and \[6{}^\circ \] below with a period of 20s from its horizontal plane.
    Consider the following statements in this regard:
    1. The motion has a frequency of oscillation (i.e. pitching) of 3 cycles/minute.         
    2. The motion has an angular frequency of 3.14 rad/s
    3. The angular velocity of precession of ship?s rotor is \[\frac{\pi }{300}\] rad/s
    4. The amplitude of pitching is \[\frac{\pi }{30}\] rad  
    Which of these statements are correct?    

    A) 1 and 2            

    B) 1, 2 and 4 

    C) 2, 3 and 4                     

    D) 1, 3 and 4

    Correct Answer: C

    Solution :

    Frequency of oscillation \[=\frac{60}{20}=3\,\,cpm\]Angular velocity of precession \[=\frac{2\pi }{20}\times \frac{\pi }{30}=\frac{{{\pi }^{2}}}{300}\text{rad/s}\] Amplitude of pitching \[=\frac{6\pi }{180}=\frac{\pi }{30}rad\]


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