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

The Correct Option is B, C, D

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