Physics 103A-001
Professor Alexander Clark
Lab performed on 23 October 2017
Lab B1: Simple Harmonic Motion
Introduction
The objective of this lab was to determine the spring constant
k
by stretching the spring and
applying Hooke’s Law. We were also verifying that the period of vibration on a body on a spring
is independent of the amplitude with the equation:
T
=
2
π
√
m
k
Lastly, we measured the period T of a simple pendulum as a function of the length L of the
pendulum with the equation:
T
=
2
π
√
L
g
When a body of mass is suspended on a coil spring with spring constant k, and if the spring is
stretched or compressed from its equilibrium position through a displacement s, the spring exerts
on the body a force that is proportional to the displacement s and given by Hooke’s law.
F=-ks
We call F a restoring force. The negative sign indicates that the force direction is opposite to the
direction of the displacement. If the spring hung vertically, when the body is stationary,
according to Newton’s first law we know that
F=mg
Combined the equations form → mg=ks
Experimental Procedure
The equipment we used for this lab was a cylindrical coil spring, meter stick, 50g weight hanger,
standard set of weight, stop watch, two right angle clamps, meter stick clamp, small aluminum
rod with grooves metal marker for easy reading of the meter stick, simple pendulum, plastic
protractor, and a digital scale.
The lab was broken up into four different parts.

Results
Table 1
Mass of total weight
m (kg)
Weight of total mass
w (N) = mg

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- Spring '16
- Physics, Simple Harmonic Motion