EXPERIMENT 5: HOOKS LAW

Purpose

To measure the force constant of a spring and to verify Hooks law.

Theory

Hooke’s law states that the force needed to displace a spring from its equilibrium

point is always proportional to the displacement and spring constant, i.e,

F=−kx (37)

where k is the spring constant and x is the displacement from the equilibrium position.

When a mass M is attached to spring and Eq. (37) becomes

F=Mg=−kx . (37)

In this lab, we will measure the force constant.

Procedure: Determining the spring constant, k

(1) Fix the spring constant at 200 N/m.

(2) By applying a force (every 5 N increment), recorded the position of the spring in meter/

(3) Keep adding the force and recorded your result on Table 13.1. Plot the force versus the position of the spring. Draw the best fit line and obtain the slope of the line. The slope of the line is equal to k (spring constant). Use Excel software to plot the gravitational force (F = mg) versus the position.

Indicator

Figure 21.1 The

Hook’s law setup.

Data analysis

Procedure: Determining the spring constant, k

Table 13.1

Position X(m) Force

Plot F as a function of x(m) to determine the spring constant k.

Theoretical K= 200N/M

Exp. K=……………………………..

% of error……………………………………….

Questions

(1) What can you conclude from this lab? Did you verify hooks law

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