GATE ME 2014 Set 4 — Question 20
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Theory of Machines & Vibrations → Free Vibration → Undamped Free Vibration
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Question
A point mass is executing simple harmonic motion with an amplitude of 10 mm and frequency of 4 Hz. The maximum acceleration () of the mass is _______
Correct answer
6.3 to 6.4
Solution
Given:
Amplitude mm = m
Frequency HzAngular frequency is calculated as:
rad/sIn simple harmonic motion (SHM), the maximum acceleration is given by the formula:
Substituting the values:
Using :
The value rounded to one decimal place is 6.3, which falls within the specified range of 6.3 to 6.4.
Amplitude mm = m
Frequency HzAngular frequency is calculated as:
rad/sIn simple harmonic motion (SHM), the maximum acceleration is given by the formula:
Substituting the values:
Using :
The value rounded to one decimal place is 6.3, which falls within the specified range of 6.3 to 6.4.
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