Question

A string of length L is stretched between two points x = 0 and x = L and the endpoints are rigidly clamped. Which of the following can represent the displacement of the string from the equilibrium position?

• A. $x\cos (\frac{\pi x}{L})$
• B. $x\sin (\frac{\pi x}{L})$
• C. $x(\frac{x}{L}-1)$
• D. $x(\frac{x}{L}-1)^2$

Answer 1

Answer: (B), (C), (D)

$x\sin (\frac{\pi x}{L})$

Answer 2

The correct option is (B): $x\sin (\frac{\pi x}{L})$, (C): $x(\frac{x}{L}-1)$ and (D): $x(\frac{x}{L}-1)^2$