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Physics I Lab Manual 2011 75 - the masses of the pendulum m...

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EXPERIMENT 10. BALLISTIC PENDULUM 2. Consider the bob of a pendulum of mass m moving at speed v r at the bottom of the arc of the pendulums motion. Using conservation of energy, find the maximum height h max that the pendulum bob will swing to. 3. For a pendulum of length L that swings an angle θ so that the pendulum bob rises to a height of h draw a diagram and use trigonometry to find an expression for the maxi- mum height of the pendulum h max as a function of the maximum angular displacement of the pendulum θ max 4. Using your results from the previous problems, find an expression for the initial speed v 0 of a ball in a ballistic pendulum that produces a maximum angular displacement of θ max Procedure 1. Remove the pendulum from the stand by unscrewing the pivot axle. Weigh and record
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Unformatted text preview: the masses of the pendulum m p and the steel ball m b . 2. With the ball latched in the catcher, balance the pendulum on a ruler or pencil to locate the center of mass. Measure and record as r cm , the distance from the pivot axis to the center of mass. 3. Reattach the pendulum to the stand. Check that it swings freely. With the pendulum hanging vertically, move the angle pointer to just contact the pendulum arm. Record this angle as θ . 4. With the pendulum latched at 90 o , insert the steel ball and use the ramrod to cock the spring to its middle or maximum range position. Let the pendulum hang vertically and 65...
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