AP EAMCET202119 Aug 2021Morning ShiftPhysicsLaws of MotionActual
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 )
Options
- Ag ( sin ⁡ θ − μ cos ⁡ θ )
- Bg ( sin ⁡ θ − cos ⁡ θ )
- Cg ⁡ μ ( sin ⁡ θ − cos ⁡ θ )
- Dg ( μ sin ⁡ θ − cos ⁡ θ )
Correct answer
A. g ( sin ⁡ θ − μ cos ⁡ θ )
Step-by-step solution
Here is the diagram of the given situation, Friction will be acting in the direction opposite to the tendency of relative motion, f = μ N = μ m g cos θ Writing the force balance equations, m g sin θ - f = m a ⇒ m g sin θ - μ m g cos θ = m a ⇒ a = g sin θ - μ g cos θ ⇒ a = g sin θ - μ cos θ