IMAT 2024 · Question 60

Q60 - Harmonic motion

A pendulum rod moves from the vertical position. Which of the following statements is false? A) The pendulum stops after reaching a certain height and then swings back. B) The pendulum describes a circular arc during its motion. C) In the absence of friction, the pendulum tends to come to a stop after a certain time D) In the absence of friction, the motion is simple harmonic oscillation. E) In the presence of friction oscillatory motion is damped.
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The correct answer is C) In the absence of friction, the pendulum tends to come to a stop after a certain time.

C is the false statement. Without friction, no energy is lost, so the pendulum would swing forever. It's friction and air resistance that make a real pendulum stop.

The others are all true: it stops at the top of each swing and comes back, it moves along an arc, without friction it's simple harmonic (for small angles), and with friction the swings die down.

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