When a body is placed on a rough plane (coefficient of friction = μ ) inclined at an angle θ to…

When a body is placed on a rough plane (coefficient of friction=μ) inclined at an angle θ to the horizontal, its acceleration is (acceleration due to gravity =g)
  1. g(sinθμcosθ)
  2. g(sinθcosθ)
  3. gμ(sinθcosθ)
  4. g(μsinθcosθ)

Solution

Here is the diagram of the given situation,

Friction will be acting in the direction opposite to the tendency of relative motion, f=μN=μmgcosθ

Writing the force balance equations, 

mgsinθ-f=mamgsinθ-μmgcosθ=maa=gsinθ-μgcosθa=gsinθ-μcosθ

Asked in: AP EAMCET 2021 (19 Aug Shift 1)

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