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Question

A person of 40kg is managing to be at rest between 3 vertical walls by pressing one wall A by his hands and feet and B with his back as shown in fie The coeff of friction between his body and the wall is 0.8 . The normal force exerted by the person is
(g=10m/s2)

1403299_0d073871011e4122a2a0b1f9f0c22484.png

A
250N
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B
200N
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C
100N
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D
0N
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Solution

The correct option is A 250N
Massofman=50kgg=10m/s2Frictionalforcedevelopedbetweenhands,legsandbacksidewiththewallthewalltheweightofman.So,heremainsinequiliobrium.HegivesequalforceonboththewallssogetsequalreactionRfromboththewalls.IfheappliesunequalforcesRshouldbedifferenthecantrestbetweenthewalss.Frictionalforce2μRbalancehisweight.fromthegivenfreebodydiagram,μR+μR=40g2μR=40×10R=40×102×0.8=250N
Hence,
option (A) is correct answer.

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