NTA Abhyas JEE Main2020PhysicsLaws of MotionPractice
A block of mass m is placed at the top of a smooth wedge A B C . The wedge is rotated about an axis passing through C as shown in the figure. The minimum value of angular speed ω such that the block does not slip on the wedge is-
Options
- A( g sin θ l ) sec θ
- B( g   l ) cos θ
- C( g l   cos   θ ) cos θ
- Dg   sin θ l a
Correct answer
A. ( g sin θ l ) sec θ
Step-by-step solution
m ω 2 r cos θ = m g sin θ m ω 2 l cos 2 θ = m g sin θ ω = g sin θ l cos 2 θ = g sin θ l sec θ