Rotary Inverted Pendulum Model C&DSP Lab. EE@MJU which implies that 1 ¨ ˙ θ= −bc sin(α)α2 − cGθ ˙ ac − b2 cos2 (α) ηm ηg Kt Kg + bd sin(α) cos(α) + c V Rm 1 ˙ b2 sin(α) cos(α)α2 − b cos(α)Gθ ˙ α= ¨ 2 cos2 (α) ac − b η m η g Kt Kg + ad sin(α) + b cos(α) V Rm where a = J + mr2 ‚ b = mLr‚ c = 4 mL2 ‚ d = mgL‚ and 3 Fig. 1. A schematic diagram of the rotary inverted pendulum 2 ηm ηg Kt Km Kg . Rm G=B+ Using the Lagrangian method‚ the equation of motion of rotary inverted pendulum can be derived
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EXPERIMENT 2 Measurement of g: Use of a simple pendulum OBJECTIVE: To measure the acceleration due to gravity using a simple pendulum. Textbook reference: pp10-15 INTRODUCTION: Many things in nature wiggle in a periodic fashion. That is‚ they vibrate. One such example is a simple pendulum. If we suspend a mass at the end of a piece of string‚ we have a simple pendulum. Here‚ the to and fro motion represents a periodic motion used in times past to control the motion of grandfather and cuckoo
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.:First experiment:. .Problem: How will the length of a pendulum affect the amount of swings per minute? .Hypothesis: I believe that the length of the pendulum will affect the amount of swings per minute because when the string is shorter in length‚ there would be less friction between the string and the atmosphere‚ causing the string to go faster. .Materials: * String ( should be 70-90 cm long) * Metal washers * Stopwatch * Metric ruler * Stand * Extra washers (You will
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Physics Investigation: What factors affect the period of a pendulum? By Tanya Waqanika In this investigation‚ I will be looking at which factors affect the period (The time for one complete cycle‚ a left swing and a right swing) of a pendulum (a weight that dangles from a pivot so that it can swing freely). I will do this by tying a metal bob to a length of spring and dropping it from a certain height and measuring the time it takes to complete an oscillation‚ changing a variable for each of
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Is gravity always 9.8m/s2?? INTRODUCTION: A simple pendulum consists of a mass m swinging back and forth along a circular arc at the end of a string of negligible mass. A pendulum is a weight suspended from a pivot so that it can swing freely. Gravity is the pull that two bodies of mass exert on one another. There are several simple experiments that will allow you to calculate the acceleration due to gravity of a falling object. A simple pendulum can determine this acceleration. The only variables
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Aim What is the effect of differing pendulum length on its period? Hypothesis If the length of the pendulum is decreased‚ the period will decrease. Variables Independent: The length of the pendulum (cm) Dependent: The period of the pendulum (s) Controlled: The weight of the swinging mass The angle for maximum displacement Materials: Pendulum (can be as simple as a mass tied to string attached to a piece of cardboard) Retort stand and clamp Stopwatch Ruler Protractor Masking tape
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the time period of a pendulum Aim: To investigate the factors affecting the time period of a pendulum. Introduction: The time period of a pendulum is the time taken for the pendulum to swing from the first position‚ A‚ through positions B and C and back to position A again. [pic] Many factors can affect the time period of the pendulum. These factors are: length of string‚ angle from which the pendulum is dropped‚ the air resistance and the weight of the pendulum. In this experiment I
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Lab Report Compound Pendulum in different medium Raoul Corstjens IS10a Introduction An oscillating object is a mass that follows a pattern that causes the mass to return to its initial position after completing one complete oscillation in a constant certain amount of time. This experiment aims to show how the medium that a simple pendulum is traveling though affects the frequency of the pendulum. Research Question How does the medium that a simple pendulum is traveling though affect the frequency
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Introduction: Aim: To find the relationship between the length of a simple pendulum and the period of oscillation. Research question: How does the string length of the pendulum affect the period of oscillation? Prediction: The longer the string‚ the longer it will take to make one complete oscillation. Variables: Independent variable: Length (L). Dependent variable: Period of oscillation (T). Controlled variable: Mass of the plasticine. Tools & Materials: Stopwatch. Ruler. String. Plasticine
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Pit and the Pendulum Reader Response Poe’s story is of a person sentenced to death by torture during the Spanish Inquisition. The story is an account of the narrator’s time from sentencing and throughout his journey during incarceration. It’s a tale of hope and despair. A story of one’s mental ability while facing an eminent death. Of this the narrator says‚ ‘It was hope—the hope that triumphs on the rack—that whispers to the death-condemned even in the dungeons of the Inquisition.’ Unusual for
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