EXPERIMENT 1
HOOKE’S LAW
Theory
Measuring the stretching produced by different loads, added to the spring, tests the elasticity of a
spring. When a spring is stretched by an applied force, a restoring force is produced. Due to the
restoring force, simple harmonic motion is caused in a straight line in which the acceleration and the
restoring force are directly proportional to the displacement of the vibrating load from the equilibrium
position. The relation between the force
direction to the displacement. The constant
and displacement
is =−
. The force is opposite in
is known as the force constant of the spring. This is the
force, expressed in Newton, which will produce an elongation of one meter in the spring. The
equation of force of the spring is shown below.
=−
.
1
Experimental Procedure and Calculations
1. Set up the spring as figure 4.2
2. Measure the length of each spring
L0 =……………. Lf =……………….
3. Hang a 1 on first spring and record the elongation.
4. Repeat the step 3 for different masses. (m1, 2, 3, m4, m5)
For theoretical exact value of spring:
No
Mass(kg)
Length of the
spring(m)
T.V=
…..N/m
Elongation
∆ (m)
1
2
Force =
Weight
(m * g)
k = /Δ
(kg*g / m)
k av
3
4
5
DATA ANALYSIS
1. Calculate the applied force [weight] for different masses.
2. Calculate
using
/Δ
and
for each mass.
=
3. Calculate the standard deviation of spring constant, (∆ =
Where n – number of measurement n = 5,
4. Calculate the percentage of error,
=
)
−
− .
.
5. Plot the applied force vs extension graph. (Square paper)
%
=
.
100%
6. Discuses the output experiment value with compeer theoretical value.
Results and Discussion: Discuss the results
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