4. The foot of a uniform ladder, of length 2a and weight W, rests on rough horizontal ground and the top of the ladder rests against a smooth vertical wall, The ladder makes an angle of 60° with the horizontal. A man of weight 4W climbs up the ladder. Given that the ladder begins to slip when the man has climbed two-thirds of the way up the ladder, find (a) the coefficient of friction between the ladder and the ground, (b) how far a boy of weight 2W can climb up the ladder before it slips.
4. The foot of a uniform ladder, of length 2a and weight W, rests on rough horizontal ground and the top of the ladder rests against a smooth vertical wall, The ladder makes an angle of 60° with the horizontal. A man of weight 4W climbs up the ladder. Given that the ladder begins to slip when the man has climbed two-thirds of the way up the ladder, find (a) the coefficient of friction between the ladder and the ground, (b) how far a boy of weight 2W can climb up the ladder before it slips.
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Transcribed Image Text:4. The foot of a uniform ladder, of length 2a and weight W, rests on rough horizontal ground and the top of the
ladder rests against a smooth vertical wall, The ladder makes an angle of 60° with the horizontal. A man of
weight 4W climbs up the ladder. Given that the ladder begins to slip when the man has climbed two-thirds of
the way up the ladder, find
(a) the coefficient of friction between the ladder and the ground,
(b) how far a boy of weight 2W can climb up the ladder before it slips.
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