NTA Abhyas JEE Main2020PhysicsRotational MotionPractice
The figure shows a fixed incline plane on which a plank is being pulled upwards such that the centre C of the solid cylinder remains at rest with respect to ground. If no slipping takes place between the cylinder and the plank, then the acceleration of the plank is
Options
- Ag 2 sin θ
- B2 g sin θ
- Cg sin θ
- D2 g sin θ
Correct answer
B. 2 g sin θ
Step-by-step solution
Linear acceleration of cylinder is zero, i.e., mg sin θ = f ( here f = frictional force upwards ) Angular acceleration about the centre α = τ I or α = fR 1 2 mR 2 = 2f mR or α = 2mg sin θ mR = 2g sin θ R For no slipping between cylinder and plank a = R α = 2g sin θ