what is the acceleration associated with mass m with inclined plane theta with friction
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From FBD of block,
N=mgcosθ
p+f=mgsinθ
or f=mgsinθ−P
As P varies from mg(sinθ−μcosθ) to mg(sinθ+μcosθ)
f varies from +μmg cosθ to −μmg cosθ.
This value of friction is always less than or equal to μN in magnitude.
Hence option (A) is correct.
N=mgcosθ
p+f=mgsinθ
or f=mgsinθ−P
As P varies from mg(sinθ−μcosθ) to mg(sinθ+μcosθ)
f varies from +μmg cosθ to −μmg cosθ.
This value of friction is always less than or equal to μN in magnitude.
Hence option (A) is correct.
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