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Simple Harmonic Motion: Pendulum of Clock Replaced by Spring-Mass

  1. Mar 18, 2009 #1
    1. The problem statement, all variables and given/known data

    The pendulum of a clock is replaced by a spring-mass system with the spring having spring constant 0.1 N/m. What mass should be attached to the spring?


    2. Relevant equations

    T=2 pi (m/k)1/2

    3. The attempt at a solution

    1 = 2 pi (m/0.1)1/2
    1 = 4 pi2 m/0.1

    solving this, m= 25 grams

    The answer is supposed to be 10 grams. What is wrong in my solution?

    Thanks for the help.
     
  2. jcsd
  3. Mar 18, 2009 #2

    Doc Al

    User Avatar

    Staff: Mentor

    You're off by a factor of 10.

    You are assuming that the period is 1 second. Was that specified in the problem? (Was information given about the pendulum?)
     
  4. Mar 19, 2009 #3
    I'm sorry, this question turned out to be quite easy. I came to know that the time period of a pendulum clock is 2s. Putting all this together, the answer does come out. Thanks for the help.
     
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