Question

In: Physics

A simple pendulum oscillates with frequency f. (a) What is its frequency if the entire pendulum...

A simple pendulum oscillates with frequency f.

(a) What is its frequency if the entire pendulum accelerates at 2/3g upward?
_____________ f

(b) What is its frequency if accelerates at 0.666666666666667g downward?
_____________ f

Solutions

Expert Solution

frequency of the pendulum is given by

                                              

(a)   given the pendulum accelerates at (2/3)g upward.

       Therefore, the effective gravity is

                                            

       The new frequency of th pendulum is

                                               

                                                                          

           If the pendulum accelerates at (2/3)g upward then its frequency is 1.291f

(b)    given the pendulum accelerates at 0.66666666667g downward

         here 0.666666666667g is approximated as 0.667g

        Therefore, the effective gravity is

                                            

       The new frequency of th pendulum is

                                               

                                                                          

           If the pendulum accelerates at 0.667g downward then its frequency is 0.577f


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