Question
Physics Question on Energy in simple harmonic motion
In a simple harmonic motion, let f be the acceleration and T be the time period. If x denotes the displacement, then |fT| vs. x graph will look like:
Solution
The |fT| vs. x graph for a simple harmonic motion will have the following shape:
Starting from the origin (0,0), the graph will have an upward-sloping section. As the displacement (x) increases, the magnitude of acceleration (∣ f ∣) also increases. This part of the graph represents the acceleration getting stronger as the object moves away from the equilibrium position.
Eventually, the graph reaches a peak point, after which it starts to curve downward. The magnitude of acceleration starts decreasing as the displacement increases further.
At the extreme displacement points (maximum amplitude), the magnitude of acceleration is zero, and the graph crosses the x-axis.
This graph represents the behavior of acceleration (∣ f ∣) with respect to displacement (x) in a simple harmonic motion.
The correct answer is option (B):
