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6 Using torques, show whether the person can climb to 1/3 of the ladder and separately to the top of the ladder.

6 Using torques, show whether the person can climb to 1/3 of the ladder and separately to the top of the ladder.

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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DD =25


i need help to do it correctly 
the solution answered is available and even the answers for 25th in table i just need explanation
how to do it? 

 please thank you! 

       
M person 80 kg safe
m ladder 30 kg caution
      unsafe
L/3 mass fraction    
0.37878788      
       
L mass fraction    
0.86363636      
       
Nfloor  1078 N  
Nwall max 270 N available
Ff max 270 N available




 

              L/3 way up the ladder   top of ladder  
DOB Theta deg radians   Tan theta Cot theta   mu required Ff required mu required Ff reqd  
25 80 1.3962634   6 0.17632698   0.0668 72.0   0.1523 164.2  
10 Fir with all5 forres. 5 Ng Nw We Wp S. for hee and g = 9070=20° notate =0 { = tNg - Wjadler - Wpeisen =0 see sprendsheet Sor dlahsusers EF, = + f - Nwall =0 3. E Fx =0 Nuall %3D = N walls slip Nuell =p Ng = (0,250)(108ON) So max Nuall breslip is 270N max F s also 270|N and 6. {T =O about fook wf ladder So Tuall = Tup + Tue Sin o = A Wp Sing + E We Sin$ 2 f Sin o = mp g Coso + pergen 4/3 or Ces o me to 2. ) - ( roks + 22) puson can 199NE this is Sa ladder donnt 339 Nelthis is > fimax= 270N s. the ladder WILL SLIP clinb to 43,but not sately to the too. Tanl70' slip 2 So. 9. 8/N/kg Tan 700 %3D %3D LYes, person 2.
Transcribed Image Text:10 Fir with all5 forres. 5 Ng Nw We Wp S. for hee and g = 9070=20° notate =0 { = tNg - Wjadler - Wpeisen =0 see sprendsheet Sor dlahsusers EF, = + f - Nwall =0 3. E Fx =0 Nuall %3D = N walls slip Nuell =p Ng = (0,250)(108ON) So max Nuall breslip is 270N max F s also 270|N and 6. {T =O about fook wf ladder So Tuall = Tup + Tue Sin o = A Wp Sing + E We Sin$ 2 f Sin o = mp g Coso + pergen 4/3 or Ces o me to 2. ) - ( roks + 22) puson can 199NE this is Sa ladder donnt 339 Nelthis is > fimax= 270N s. the ladder WILL SLIP clinb to 43,but not sately to the too. Tanl70' slip 2 So. 9. 8/N/kg Tan 700 %3D %3D LYes, person 2.
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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