Concepts Of Physics MCQ Edition [Volume 1]
- Exam
- Concepts Of Physics MCQ Edition [Volume 1]
- Subject
- Physics
- Chapter
- Rotational Mechanics
Concepts Of Physics MCQ Edition [Volume 1] · Physics · Rotational Mechanics
Examine the two equations given below: (A) L = Iω (B) (dL)/(dt) =...
Examine the two equations given below:
(A)
(B)
For a noninertial frame of reference,
(A)
(B)
For a noninertial frame of reference,
Options
- AB is correct but A is incorrect
- Bboth A and B are incorrect
- Cboth A and B are correct
- DA is correct but B is incorrect
Correct answer
D. A is correct but B is incorrect
Step-by-step solution
The equation is a kinematic relation that defines the angular momentum of a rigid body. It depends on the mass distribution and the angular velocity relative to the frame of reference. This definition is valid in any frame, including non-inertial frames.
The equation is the rotational analogue of Newton's second law, where is the net torque due to real forces. Newton's laws are valid only in inertial frames of reference. In a non-inertial frame, pseudo forces must be taken into account, which exert pseudo torques on the system. The correct equation in a non-inertial frame is .
Therefore, A is correct but B is incorrect.
The equation is the rotational analogue of Newton's second law, where is the net torque due to real forces. Newton's laws are valid only in inertial frames of reference. In a non-inertial frame, pseudo forces must be taken into account, which exert pseudo torques on the system. The correct equation in a non-inertial frame is .
Therefore, A is correct but B is incorrect.