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

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

International Edition---engineering Mechanics: Statics, 4th Edition
International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
Chapter9: Moments And Products Of Inertia Of Areas
Section: Chapter Questions
Problem 9.16P: Figure (a) shows the cross-sectional dimensions for the structural steel section known as C1020...
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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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