A uniform wooden stick of mass 1.6 kg and length l rests in an inclined manner on a smooth, vertical wall of height h
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a
hl=316, f=1633N
b
hl=316, f=1633N
c
hl=3316, f=833N
d
hl=3316, f=1633N
answer is D.
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Detailed Solution
Vertical direction, N+R2=mg=1.6×10⇒N=16−R2Horizontal Direction, f=3R2⇒R=2f3 About A,TCW=TACW⇒(R)hcos30=(mg)l2cos60⇒R2h3=(16)l2×12⇒hl=23RIf the reaction of the floor on stick is taken as normal reaction, then N=R ⇒16−R2=R ⇒R=323Nf = 32R=32323=1633Nhl=23R=2332/3=3316