A pendulum is swung from point A and rises to a height, h...
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A pendulum is swung from point A and rises to a height, h...

[From: ] [author: ] [Date: 11-05-05] [Hit: ]
equal amounts of KE are transferred at equal heights irrespective of the path taken to do this.½ mv² = mg∆h applies in both cases.......
A horizontal rod is placed at position B so that when the pendulum is released, the string catches at B, forcing the bob to swing in an arc which has a smaller radius. How will the height to which the bob swings without the rod compare to the height with the rod?

Thank you!
Note: We have not learned the pendulum equation and I don't think we will this year (high school). However, we have learned the kinetic and gravitational potential energy equations as well as about energy transformations (likely that these have to do with solving the question). Your answer is greatly appreciated :)

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Given that the pendulum is released from the same position each time - so that it has the same KE at it's lowest point each time .... the heights will be the same.

Given that the transfer of energy is only KE to GPE, equal amounts of KE are transferred at equal heights irrespective of the path taken to do this.

½ mv² = mg∆h applies in both cases.
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