μmgd sinθ cosθ + μsinθ
μmgd cosθ cosθ - μsinθ
μmgd cosθ + μsinθ
μmgd cosθ cosθ + μsinθ
Let the force applied on the block be F,
The surface applies a frictional force on the block in the backward direction.
Vertical direction : N + Fsinθ = mg
N = mg - Fsinθ (1)
Horizontal direction: As the block moves with a constant velocity, so Fcosθ is balanced by f
∴ Fcosθ = f
Fcosθ = μN
Fcosθ = μ(mg - Fsinθ)
⇒ F = μmgcosθ + μsinθ
Work done by the applied force
WF = →F.→S
WF = Fdcosθ
⇒ WF = μmgd cosθ cosθ + μsinθ