# ex10 - EXPERIMENT 10 The Pendulum Objectives To investigate...

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1 EXPERIMENT 10 The Pendulum Objectives To investigate the functional dependence of the period ( τ ) of a pendulum on its length (L), the mass of its bob (m), and the starting angle ( θ o ). The Greek letter tau ( τ ) is typically used to denote a time period or time interval use a pendulum to measure g, the acceleration due to gravity Apparatus Point masses and string, a digital timer, period gate, and meter stick will be used. Theory Where there exists a constant net force (F), Newton’s Law F = ma tells us that the acceleration (a) is a constant and therefore the position of the object can be written as 2 0 0 2 1 at t v x x + + = This is the formula we tested in the Free Fall I lab. In the analysis of the motion of a pendulum we should realize that 1) The motion is part of a circle so angular acceleration ( α ) is a useful variable 2) The angular acceleration will not be a constant throughout the motion Consider the pendulum shown in Figure 1. The acceleration of the bob tangent to the arc “drawn” by the pendulum as it swings, a t , is determined by F t , the force tangent to the arc. Since the tension in the string (T) always acts along the

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## This note was uploaded on 07/25/2008 for the course PHY 251 taught by Professor J.t. during the Summer '08 term at Michigan State University.

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ex10 - EXPERIMENT 10 The Pendulum Objectives To investigate...

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