A 100-N little physics tyke hangs on the ends of a rope suspended over a pulley as shown. The tension in the rope is

1) 0 N.
2) 50 N.
3) 100 N.
4) 200 N.

It is interesting to note that
5) the tension in the rope at its midpoint (uppermost part) is 100 N.
6) this is a modified tug-o'-war example (simply draped over a pulley).
7) the net force acting on the rope is in this case identical to the child's weight.


Answer: 2, 6

Physics & Space Science

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Show that the rate of heat conduction per unit length through a long hollow cylinder of inner radius ri and outer radius ro, made of a material whose thermal conductivity varies linearly with temperature, is given by


GIVEN
• A long hollow cylinder
• The thermal conductivity varies linearly with temperature
• Inner radius = ri
• Outer radius = ro FIND
• Show that the rate of heat conduction per unit length is given by the above equation ASSUMPTIONS
• Conduction occurs in the radial direction only
• Steady state prevails
SKETCH

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