JEE Main202329 Jan 2023Morning ShiftPhysicsLaws of MotionActual
A block of mass m slides down the plane inclined at angle 30 ° with an acceleration g 4 . The value of coefficient of kinetic friction will be :
Options
- A2 3 + 1 2
- B1 2 3
- C3 2
- D2 3 - 1 2
Correct answer
B. 1 2 3
Step-by-step solution
Applying Newton's second law along the direction perpendicular to inlined plane: N - m g cos 30 ∘ = 0 (As θ = 30 ° ) (since the acceleration of block in the direction perpendicular to the inclined plane is 0 ) ∴ N = m g cos 30 ∘ .....(1) Let μ be the coefficient of kinetic friction between the block and the inclined plane. Applying Newton's second law along inclined plane: m g sin 30 ∘ - μ N = m a = m g 4 ....(2) (since the acceleration along the inclined plane, a