Angular SHM and Simple Pendulum: Practice Problem & Solution
A seconds pendulum is mounted in a rocket. Its period of oscillation will decrease when rocket is: (1994)
Solution Explained:
To solve this problem, we apply the core principles of Angular SHM and Simple Pendulum. Understanding the underlying formula is key to arriving at the correct answer below:
Time period $ T = 2\pi\sqrt{\frac{l}{g_{eff}}} $. To decrease the period, $ g_{eff} $ must increase. Moving upward with uniform acceleration $ a $ gives $ g_{eff} = g + a $, which increases effective gravity and decreases the period.
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