Physics20785 marksNumerical: spring block oscillationOscillation of spring
A given spring stretches 0.1m when a force of 20N pulls on it. A 2-kg block attached to it on a frictionless surface is pulled to the right 0.2 m and released. (a) What is frequency of oscillation of the block? (b) What are the velocity and acceleration when x=0.12 mx=0.12\,mx=0.12m, on the block's
A given spring stretches 0.1m when a force of 20N pulls on it. A 2-kg block attached to it on a frictionless surface is pulled to the right 0.2 m and released. (a) What is frequency of oscillation of the block? (b) What are the velocity and acceleration when x=0.12 mx=0.12,mx=0.12m, on the block's first passing this point? [5]
- Spring stretch: $x0 = 0.1$ m under force $F = 20$ N - Mass: $m = 2$ kg - Amplitude: $A = 0.2$ m (pulled right and released from rest) - Frictionless surface - Point of interest: $x = 0.12$ m (first passing) --- $$k = \frac{F}{x0} = \frac{20}{0.1} = 200 \text{ N/m}$$ $$\omega = \sqrt{\frac{k}{m}...