An oscillating block of mass 250 g takes 0.2 sec to move between the endpoints of the motion, which are 50 cm apart. Find the frequency and amplitude of the motion. What is the force constant of the spring?
An oscillating block of mass 250 g takes 0.2 sec to move between the endpoints of the motion, which are 50 cm apart. Find the frequency and amplitude of the motion. What is the force constant of the spring? [5]
Quantity Value ------ Mass of block $m = 250\text{ g} = 0.25\text{ kg}$ Time to move between endpoints $t = 0.2\text{ s}$ Distance between endpoints $d = 50\text{ cm} = 0.50\text{ m}$ --- Moving from one endpoint to the other is half a full oscillation: $$t = \frac{T}{2} \implies T = 2t = 2(0.2) ...