A group of students set up the Atwood machine shown in the figure above, which consists of a light string passing over a pulley whose mass and friction are negligible. A counterweight of constant mass is connected to the right end of the string. A bucket full of water is connected to the left end of the string. The counterweight has a mass less than that of the full bucket, but greater than that of the empty bucket. At time t O seconds, the system is released from rest with the bucket full. At the same time, water begins to flow out of the bucket through a hole on the side near the bottom.
A group of students set up the Atwood machine shown in the figure above, which consists of a light string passing over a pulley whose mass and friction are negligible. A counterweight of constant mass is connected to the right end of the string. A bucket full of water is connected to the left end of the string. The counterweight has a mass less than that of the full bucket, but greater than that of the empty bucket. At time t O seconds, the system is released from rest with the bucket full. At the same time, water begins to flow out of the bucket through a hole on the side near the bottom.
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Identify the time at which the counterweight will reach its highest height.

Transcribed Image Text:A group of students set up the Atwood machine shown in the figure above, which consists of a
light string passing over a pulley whose mass and friction are negligible. A counterweight of
constant mass is connected to the right end of the string. A bucket full of water is connected to the
left end of the string. The counterweight has a mass less than that of the full bucket, but greater
than that of the empty bucket. At time t
O seconds, the system is released from rest with the
bucket full. At the same time, water begins to flow out of the bucket through a hole on the side
near the bottom.

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