Ladder Nwall =0.000 Ns (negligible) Wall Ladder m=30kg Persan M=80k9 %3D Floor N=0.250

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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Problem 1.1MA
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DD=25 

Ladder
Nwall
:0.000
(negligible)
Wall
Loddern=3okg
er m=30kg
Person M= 80k9
Floor
N=0.250
Transcribed Image Text:Ladder Nwall :0.000 (negligible) Wall Loddern=3okg er m=30kg Person M= 80k9 Floor N=0.250
A 30kg ladder is leaned against a wall so that it makes an angle
of theta with respect to the floor. Theta is (55+xx)degrees (where
xx is your day of birth from 01 to 31), so an angle of
55+15 = 70degrees if you were born on the 15th, etc. The top of
the ladder rests frictionlessly against the wall, and the coefficient
of friction between the foot of the ladder and the floor is 0.250
An 80kg person wants to know if they can safely climb
a) one third of the way up the ladder and/or
b) to the top.
1 Sketch this above, with a FBD for the ladder. Include all relevant
forces.
2 State the equilibrium equations for this ladder.
3 Solve for the Normal force the wall places on the ladder; show
your work.
4 Solve for the Normal force the floor places on the ladder; show
your work.
5 What is the maximum frictional force the floor can put on the
ladder (show)?
6 Using torques, show whether the person can climb
to 1/3 of the ladder and separately
to the top of the ladder.
Transcribed Image Text:A 30kg ladder is leaned against a wall so that it makes an angle of theta with respect to the floor. Theta is (55+xx)degrees (where xx is your day of birth from 01 to 31), so an angle of 55+15 = 70degrees if you were born on the 15th, etc. The top of the ladder rests frictionlessly against the wall, and the coefficient of friction between the foot of the ladder and the floor is 0.250 An 80kg person wants to know if they can safely climb a) one third of the way up the ladder and/or b) to the top. 1 Sketch this above, with a FBD for the ladder. Include all relevant forces. 2 State the equilibrium equations for this ladder. 3 Solve for the Normal force the wall places on the ladder; show your work. 4 Solve for the Normal force the floor places on the ladder; show your work. 5 What is the maximum frictional force the floor can put on the ladder (show)? 6 Using torques, show whether the person can climb to 1/3 of the ladder and separately to the top of the ladder.
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