Based on Centre of Gravity
12. A ladder of mass 30 kg and length 5 m is kept leaning
against a vertical, smooth wall. A man of mass 60 kg
climbed up th the length of the ladder. If the coeffi-
cient of friction between the floor and the ladder is 0.5.
4
Answers
Answered by
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Answer:
200 n I hope this helps you and please make me brainlist and follow me
Explanation:
length of ladder =5 m
distance of base form vertical wall =3 m
mass of ladder =30 kg=m
friction act only on point A
let friction force at
A=f
r
from figure
cosθ=
5
3
θ=53
o
making free body diagram of ladder
Then for vertical balance
=N
1
=mg.....(1)
for horizontal balance
fr=N.....(2)
Taking rotational equilibrium about C
as torque is only due to perpendicular component
⇒AC=BC=
2
5
AC×fr sinθ+BC×N sinθ=AC×N
1
cosθ
=
2
5
×frsin53+
2
5
×frsinθ=
2
5
×mg cosθ
as (N=f
r
,N
1
=mg from (1) & (2))
=2f
r
sin53=30×10cos53
=fr=
2
30×10
×
3
4
=200 N
Hence friction between ladder and ground is 200 N
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Answer:
I didn't understand this question
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