A 50kg homogeneous smooth sphere rests on the 30∘ inclined plane A and bears against the smooth vertical wall B . The contact force at point B is
(Take g=10m/s2)
A
250N
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B
Zero
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C
500√3N
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D
500N
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Solution
The correct option is C500√3N FBD of sphere
For equilibrium, ⇒NAsin60∘=mg ⇒NA√32=mg NA=2mg√3 ⇒NB=NAcos60∘ NB=2mg√3×12=50×10√3 NB=500√3N