Example&Acirc;&nbsp;9-8

# Example&Acirc;&nbsp;9-8 - Example 9-8...

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Example 9-8 A Winch and a Bucket (D. S. Kerr/Visuals Unlimited.) A winch is at the top of a deep well. The drum of the winch has mass  m w  and radius  R . Virtually  all its mass is concentrated a distance  R  from the axis. A cable wound around the drum suspends  a bucket of water of mass  m b . The entire cable has mass  m c  and length  L . Just when you have  the bucket at the highest point, your hand slips and the bucket falls back down the well, unwinding  the winch cable as it goes. How fast is the bucket moving after it has fallen a distance  d , where  is less than  L ? Assume that effects due to friction and air resistance are negligible. PICTURE  As the load falls, mechanical energy of the drum-cable-bucket of water-Earth system  remain constant. Choose the initial potential energy to be zero. When the load has fallen a  distance

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## This note was uploaded on 11/29/2010 for the course PHYS 1301W taught by Professor Marshak during the Spring '08 term at Minnesota.

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Example&Acirc;&nbsp;9-8 - Example 9-8...

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