Answer Happy

4. A block-spring oscillator exhibits simple harmonic motion with an amplitude A and its maximum speed is Umar (a) Write a mathematical expression for the total energy of an oscillator in terms of its angular frequency, w, mass (m), and its amplitude A. (b) Write a mathematical expression for the total energy of an oscillator in terms of its position (1), mass (m), spring constant (k) and speed (v). 1 (c) When the block's speed is Umaz, show that the distance (Im) from the central equilib- 2 rium position is: 3mw2 A2 4k 1 (d) When the block's position is A, show its speed (v) is given by: --- V= W2 A2 kA2 4m