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Simple Pendulum Lab
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What determines the period of a pendulum in simple harmonic motion?
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As displayed in Figure 1, the period of a pendulum in simple harmonic motion is directly proportional to amplitude, mass, and length. As seen in the period vs. amplitude, period vs. mass, period vs. length tables and scatter plots, period increases as each variable increases. The line of best fit equations are shown on the plots in Figure 1.
How do you observe simple harmonic motion?
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In this lab, we will observe simple harmonic motion by studying masses on springs. In the first part of this lab, you will determine the period, T, of the spring by observing one sliding mass that is attached to two springs with the spring constant k, and attached to a hanging mass by a string and a pulley.
What is the equation for simple harmonic motion?
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In experiment 1, simple harmonic motion is measured in a physical pendulum. Experiment 2 measures simple harmonic motion using a spring. The equation for a pendulum that relates the variables involved is: where frequency f the inverse of period T, f = 1 T. Therefore: 2 π T = where I = (1/3)mr², so 2 π T = .
What is simple harmonic motion?
What is Simple Harmonic Motion? Simple Harmonic Motion or SHM is defined as a motion in which the restoring force is directly proportional to the displacement of the body from its mean position. The direction of this restoring force is always towards the mean position.
What are the solutions to the differential equation for simple harmonic motion?
The solutions to the differential equation for simple harmonic motion are as follows: This solution when the particle is in its mean position at point (O): x = Asinωt. When the particle is at the position p (not at mean position): x = Asinϕ.
How do you find the speed of simple harmonic motion?
Consider a particle of mass (m) executing Simple Harmonic Motion along a path x o x; the mean position at O. Let the speed of the particle be v 0 when it is at position p (at a distance no from O) d 2 x/dt 2 + ω 2 x = 0, which is the differential equation for linear simple harmonic motion.
What is the restoring force in simple harmonic motion?
For a force to be a restoring force, its direction should always be opposite to that of the displacement of the particle from its mean position. Simple Harmonic Motion or SHM is a specific type of oscillation in which the restoring force is directly proportional to the displacement of the particle from the mean position.
What are the applications of simple pendulum?
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The simple pendulum was also used to investigate damping and resonance in simple harmonic motion.
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Simple Harmonic Motion Lab Report Free Essay Example
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What is simple harmonic motion?
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How do you observe simple harmonic motion?
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