JEE Advanced2016PhysicsLaws of MotionActual
Paragraph: A frame of reference that is accelerated with respect to an inertial frame of reference is called a non-inertial frame of reference. A coordinate system fixed on a circular disc rotating about a fixed axis with a constant angular velocity is an example of a non-inertial frame of reference. The relationship between the force F _ rot experienced by a particle of mass m moving on the rotating disc and the for
Options
- A- m ω 2 R cos ⁡ ω t j ^ - m g k ^
- Bm ω 2 R sin ⁡ ω t   j ^ - m g k ^
- C1 2 m ω 2 R e ω t - e - ω t   j ^ + m g k ^
- D1 2 m ω 2 R   e 2 ω t - e - 2 ω t j ^ + m g k ^
Correct answer
C. 1 2 m ω 2 R e ω t - e - ω t   j ^ + m g k ^
Step-by-step solution
N → 1 = m g k ^ N ^ 2 = 2 m V r o t ′ × ω →   j ^ = 2 m ω R 4 e ω t - e - ω t ω j ^   = 1 2 m ω 2 R e ω t - e - ω t j ^ Total reaction on block = N → 1 + N → 2 = 1 2 m ω 2 R e ω t - e - ω t   j ^ + m g k ^