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A 7-m long, 17-kg, ladder rests against a smooth vertical wall with a 20 degree angle...

A 7-m long, 17-kg, ladder rests against a smooth vertical wall with a 20 degree angle from the wall. The coefficient of static friction between the floor and the ladder is 0.2. What distance, measured in meter along the ladder from the bottom, can a 75-kg person climb before the ladder starts to slip?

A spool whose inner core has a radius of 1 cm and whose end caps have a radius of 1.77 cm has a string tightly wound around the inner core. The spool is free to roll without slipping on a horizontal surface. If the string unwinds horizontally from the bottom of the core with a constant speed of 21 cm/s, what is the speed of the spool, in cm/s?

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