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Question

A 13 m ladder is placed against a smooth vertical wall with its lower end 5 m from the wall. What should be the coefficient of friction between the ladder and floor so that it remains in equilibrium?

एक 13 मीटर लंबी सीढ़ी को एक चिकनी ऊर्ध्वाधर दीवार के सामने रखा गया है जिसका निचला सिरा दीवार से 5 मीटर दूर है। सीढ़ी और फर्श के बीच घर्षण का गुणांक क्या होना चाहिए ताकि यह संतुलन में रहे?

A.

0.1

B.

0.15

C.

0.218 

D.

None of these

Answer ( Option C)

0.218 

Solution

Given :Length of the ladder (l) = 13m

Distance between wall and lower end (x) = 5m

Now, resolving horizontal forces,

Resolving vertical forces,

Putting value of NA from equation (i),

Taking moment about A,

Hence, the correct option is (C).

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