A 10 m long ladder with mass of 20 kg rests against a smooth wall at height of 8 m at an inclination a to the rough ground floor. Assuming that there is no friction between the wall and the ladder, but there is a frictional force between the floor and the ladder.

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Chapter1: Units, Trigonometry. And Vectors
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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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A 10 m long ladder with mass of 20 kg rests against a smooth wall at height of 8 m at an
inclination a to the rough ground floor. Assuming that there is no friction between the wall
and the ladder, but there is a frictional force between the floor and the ladder.
(a)
Determine the minimum static coefficient of friction, 4 between the floor and the
ladder for which equilibrium is possible.
(b)
A worker of mass 80 kg climbs up the ladder. Determine how far the worker may go
up before the ladder starts to slip.
(c)
By comparing between frictional force of floor and wall, determine whether a
worker can climb safely to the top of the ladder or not.
Transcribed Image Text:A 10 m long ladder with mass of 20 kg rests against a smooth wall at height of 8 m at an inclination a to the rough ground floor. Assuming that there is no friction between the wall and the ladder, but there is a frictional force between the floor and the ladder. (a) Determine the minimum static coefficient of friction, 4 between the floor and the ladder for which equilibrium is possible. (b) A worker of mass 80 kg climbs up the ladder. Determine how far the worker may go up before the ladder starts to slip. (c) By comparing between frictional force of floor and wall, determine whether a worker can climb safely to the top of the ladder or not.
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