A uniform ladder of length 12 mand mass 30 kg rests with one ed on rough horizontal ground and the other end against a smooth vertical wall. The ladder is indined 65°. The coefficient of friction, H, between the ladder and the ground is 0.35. A woman of mass 65 kg is slowly dimbing up the ladder. She wants to know how far up the ladder she can dimb safely. Drawa diagramshowing all the force acting on the ladder when th woman is x metres from the foot of the ladder. (a) (b) Fnd the reaction of the ground on the ladder. (c) Show that the reaction of the wall on the ladder is less than 33.25 (d) By taking moments about the base of the ladder, find how far up ladder she can dimb safely.

International Edition---engineering Mechanics: Statics, 4th Edition
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ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
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Chapter7: Dry Friction
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Problem 7.23P: The 40-lb spool is suspended from the hanger GA and rests against a vertical wall. The center of...
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A uniform ladder of length 12 mand mass 30 kg rests with one ed on rough
horizontal ground and the other end against a smooth vertical wall.
The ladder is indined 65°.
The coefficient of friction, H, between the ladder and the ground is 0.35.
A woman of mass 65 kg is slowly dimbing up the ladder.
She wants to know how far up the ladder she can dimb safely.
Drawa diagramshowing all the force adting on the ladder when the
woman is x metres fromthe foot of the ladder.
(a)
(b)
Find the reaction of the ground on the ladder.
(c)
Show that the reaction of the wall on the ladder is less than 33.25g
By taking moments about the base of the ladder, find how far up th
ladder she an dimb safely.
(d)
Transcribed Image Text:A uniform ladder of length 12 mand mass 30 kg rests with one ed on rough horizontal ground and the other end against a smooth vertical wall. The ladder is indined 65°. The coefficient of friction, H, between the ladder and the ground is 0.35. A woman of mass 65 kg is slowly dimbing up the ladder. She wants to know how far up the ladder she can dimb safely. Drawa diagramshowing all the force adting on the ladder when the woman is x metres fromthe foot of the ladder. (a) (b) Find the reaction of the ground on the ladder. (c) Show that the reaction of the wall on the ladder is less than 33.25g By taking moments about the base of the ladder, find how far up th ladder she an dimb safely. (d)
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