(i) A uniform ladder of length 7 m rests against a vertical wall. It makes an angle of 45° with the wall. The cocfficients of friction between the ladder and the wall is and between the ladder and the ground is . A girl whose weight is half that of the ladder slowly ascends the ladder. Find how far up along the ladder will she climb before the ladder begins to slip.

International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
Chapter7: Dry Friction
Section: Chapter Questions
Problem 7.78P: The figure shows a steel bar being processed by a rolling mill. Given that P=80kN and r =0.016,...
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(i) A uniform ladder of length 7 m rests against a vertical wall. It makes an angle of 45° with the wall.
The coefficients of friction between the ladder and the wall is and between the ladder and the ground
is . A girl whose weight is half that of the ladder slowly ascends the ladder. Find how far up along the
ladder will she climb before the ladder begins to slip.
3.
(ii) An engine is pumping water from a well 25 m deep. It discharges 0.4 m³ of water each second with a
speed of 12 ms'. Find the power of the pump given that the density of water is 1000 kg m-.
(Take g as 10 ms-2.)
Transcribed Image Text:(i) A uniform ladder of length 7 m rests against a vertical wall. It makes an angle of 45° with the wall. The coefficients of friction between the ladder and the wall is and between the ladder and the ground is . A girl whose weight is half that of the ladder slowly ascends the ladder. Find how far up along the ladder will she climb before the ladder begins to slip. 3. (ii) An engine is pumping water from a well 25 m deep. It discharges 0.4 m³ of water each second with a speed of 12 ms'. Find the power of the pump given that the density of water is 1000 kg m-. (Take g as 10 ms-2.)
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