Problem 3. A point mass is suspended by a string of length L=1m. The mass is slightly deflected from equilibrium and then released. a) Find the period of oscillations of the mass. b) This simple oscillator is the idea behind pendulum clocks invented by the Dutch physicist Christiaan Huygens in 1656. How much faster or slower will such a clock run on the Moon? How do we fix it to run true?

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Problem 3. A point mass is suspended by a string of length L=1m. The mass is slightly deflected from
equilibrium and then released.
a) Find the period of oscillations of the mass.
b) This simple oscillator is the idea behind pendulum clocks invented by the Dutch physicist Christiaan
Huygens in 1656. How much faster or slower will such a clock run on the Moon? How do we fix it to
run true?
Hint: use Newton's second law in polar coordinates.
Transcribed Image Text:Problem 3. A point mass is suspended by a string of length L=1m. The mass is slightly deflected from equilibrium and then released. a) Find the period of oscillations of the mass. b) This simple oscillator is the idea behind pendulum clocks invented by the Dutch physicist Christiaan Huygens in 1656. How much faster or slower will such a clock run on the Moon? How do we fix it to run true? Hint: use Newton's second law in polar coordinates.
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