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Question #42309
The Question
A particle of mass is initially at rest at the origin of a Cartesian coordinate system. It is acted upon by a time-varying force , where is in seconds. What is the magnitude of the angular momentum of the particle about the point at ?
Options
- A.
- B.
- C.
- D.
Check Your Answer
Correct Answer
Step-by-Step Solution
Explanation
How the Examiner Thinks
Intuition_Breaker
Train your brain to resist "obvious" answers that are designed to deceive your intuition.
Concepts Behind This Question
Variable Force Integration|Angular Momentum conservation|Vector Cross-Products
Why This Question Is Tricky
Common Mistakes
This question tests the student's ability to handle angular momentum for a particle subjected to a time-varying, non-central force.
The primary trap is the assumption of constant torque or using the final torque value multiplied by time (), which incorrectly simplifies the dynamic angular impulse integral .
Furthermore, by asking for the angular momentum about a shifted reference point rather than the origin, it penalizes students who blindly apply without adjusting the position vector to the correct reference frame.
The dual-path solution (kinematics vs. torque integration) ensures that students who rely on static formulas will fail, forcing a fundamental application of Newton's Second Law and the definition of angular momentum.
Quick Facts About This Question
Question Information
| Subject | Physics |
| Chapter | Work, Energy, and Power - Class 11 Part 1 |
| Concept | Variable Force Integration |
| Difficulty | 8 |
| Cognitive Load | 7 |
| Target Solve Time | 160 sec |
| Access | Free |