A uniform thread of linear mass density 1 = 2.0 g/m passes through a fixed ideal pulley. At its ends, the thread is stacked into two heaps that do not interfere motion of the thread. A beetle of mass m = 80 g tries to manage itself at a constant height on the thread by adjusting its speed relative to the thread. At some steady speed of the thread, the beetle succeeds in doing so. Find this steady speed of the thread. Acceleration due to gravity is g = 10 m/s².

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A uniform thread of linear mass density λ=2. 0 g/m passes through a fixed ideal pulley. At its ends, the thread is stacked into two heaps that do not interfere motion of the thread. A beetle of mass m=80 g tries to manage itself at a constant height on the thread by adjusting its speed relative to the thread

A uniform thread of linear mass density 1 = 2.0 g/m passes through a
fixed ideal pulley. At its ends, the thread is stacked into two heaps that
do not interfere motion of the thread. A beetle of mass m = 80 g tries to
manage itself at a constant height on the thread by adjusting its speed
relative to the thread. At some steady speed of the thread, the beetle
succeeds in doing so. Find this steady speed of the thread. Acceleration
due to gravity is g = 10 m/s2.
Transcribed Image Text:A uniform thread of linear mass density 1 = 2.0 g/m passes through a fixed ideal pulley. At its ends, the thread is stacked into two heaps that do not interfere motion of the thread. A beetle of mass m = 80 g tries to manage itself at a constant height on the thread by adjusting its speed relative to the thread. At some steady speed of the thread, the beetle succeeds in doing so. Find this steady speed of the thread. Acceleration due to gravity is g = 10 m/s2.
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