spring constant. and Measurement in finding theoretical period

spring constant. and Measurement in finding theoretical period

spring constant.

The distance the spring is stretched or compressed is directly proportional to the force exerted by the spring. This relationship is Hooke’s’ law given by F=kx, where k being proportionality constant. Different forces meant to stretch the spring to varying distances are subjected to the spring in the determination of spring experimentally. Finally, a graph of force against distance is plotted. A straight line is obtained whose gradient is equivalent to the proportionality constant k.

Procedure

Measurement in finding theoretical period

Mass of the cart is measured using the balance and recorded in the table shown below. The track shown below is leveled using the cart. The ends of the cart’s feet leveling are adjusted to lower or raise the ends till cart on the track rest. Pulley is pulled at one end of the track using a table clamp. Spring is attached to the ends of the cart and the cart is set on the track. The spring’s ends are attached with end-stop as shown below. The end of the cart is then attached to the string and the mass hanger is hanged over the pulley. The equilibrium position is recorded. The new position is recorded on the addition of mass to the mass hanger. This process is repeated for 5 different masses.