Motion of a Pendulum The relation between the velocity (in radians per second) of a
Chapter 10, Problem 61(choose chapter or problem)
Motion of a Pendulum The relation between the velocity (in radians per second) of a pendulum and its angular displacement from the vertical can be modeled by a semiellipse. A 12-centimeter pendulum crests when the angular displacement is radian and 0.2 radian. When the pendulum is at equilibrium the velocity is radians per second. (a) Find an equation that models the motion of the pendulum. Place the center at the origin. (b) Graph the equation from part (a). (c) Which half of the ellipse models the motion of the pendulum?
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