Acceleration in the Simple pendulum is always _________ to displacement acting negative independent inversely proportional directly proportional
Question
Acceleration in the Simple pendulum is always _________ to displacement
acting negative
independent
inversely proportional
directly proportional
Solution
The acceleration in a simple pendulum is always directly proportional to displacement acting negative.
In a pendulum, according to Newton's second law and the principles of harmonic motion, the restoring force that acts on the pendulum is proportional to the sine of the angle of displacement from the vertical. For small angle approximations, this simplifies to the displacement itself.
The negative sign indicates that the acceleration is directed opposite to the direction of displacement, meaning if the pendulum is displaced to the right, the acceleration acts to the left, pulling it back towards the equilibrium position.
Thus, the correct phrase to fill in the blank is "directly proportional," but with an important caveat regarding direction, which is negative relative to displacement.
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