A maintenance technician uses a uniform ladder of 3 m long and weighs 200 N. It is placed against a wall making an angle of 60° with the floor as shown in Figure below. Man 1000 N B 1.5 m Rw B 3 m 1.5 m P A 200 N 60° 60° R, If the coefficient of friction between the wall and the ladder is 0.25 and that between the floor and ladder is 0.35. The ladder, in addition to its own weight, has to support a man of 1000 N at its top at B. Calculate: a) The horizontal force P to be applied to ladder at the floor level to prevent slipping.

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Chapter12: Static Equilibrium And Elasticity
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Question 8

Question 8
A maintenance technician uses a uniform ladder of 3 m long and weighs 200 N. It is placed
against a wall making an angle of 60° with the floor as shown in Figure below.
Man
1000 N
B
1.5 m
Rw
B
3 m
1.5 m
200 N
60°
P » A
60°
Ff
Rf
If the coefficient of friction between the wall and the ladder is 0.25 and that between the floor
and ladder is 0.35. The ladder, in addition to its own weight, has to support a man of 1000 N
at its top at B.
Calculate:
a) The horizontal force P to be applied to ladder at the floor level to prevent slipping.
b) Ifthe force P is not applied, what should be the minimum inclination of the ladder with
the horizontal, so that there is no slipping of it with the man at its top.
Transcribed Image Text:Question 8 A maintenance technician uses a uniform ladder of 3 m long and weighs 200 N. It is placed against a wall making an angle of 60° with the floor as shown in Figure below. Man 1000 N B 1.5 m Rw B 3 m 1.5 m 200 N 60° P » A 60° Ff Rf If the coefficient of friction between the wall and the ladder is 0.25 and that between the floor and ladder is 0.35. The ladder, in addition to its own weight, has to support a man of 1000 N at its top at B. Calculate: a) The horizontal force P to be applied to ladder at the floor level to prevent slipping. b) Ifthe force P is not applied, what should be the minimum inclination of the ladder with the horizontal, so that there is no slipping of it with the man at its top.
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