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JEE Main 20254 AprilMorning Shift
Exam
JEE Main
Year
2025
Date
4 April
Shift
Morning Shift
Subject
Physics
Chapter
Rotational Motion

JEE Main 2025 · 4 April · Morning Shift · Physics · Rotational Motion

If L and P represent the angular momentum and linear momentum...

If L→\overrightarrow{\mathrm{L}} and P→\overrightarrow{\mathrm{P}} represent the angular momentum and linear momentum respectively of a particle of mass ' m ' having position vector r→=a(i^cos⁡ωt+j^sin⁡ωt)\overrightarrow{\mathrm{r}}=\mathrm{a}(\hat{\mathrm{i}} \cos \omega \mathrm{t}+\hat{\mathrm{j}} \sin \omega \mathrm{t}). The direction of force is

Options

  1. AOpposite to the direction of r⃗\vec{r}
  2. BOpposite to the direction of L→\overrightarrow{\mathrm{L}}
  3. COpposite to the direction of P⃗\vec{P}
  4. DOpposite to the direction of L→×P→\overrightarrow{\mathrm{L}} \times \overrightarrow{\mathrm{P}}

Correct answer

A. Opposite to the direction of r⃗\vec{r}

Step-by-step solution

a→=−ω2r→\overrightarrow{\mathrm{a}}=-\omega^2 \overrightarrow{\mathrm{r}}
∴F→\therefore \overrightarrow{\mathrm{F}} opposite to r→−\overrightarrow{\mathrm{r}}-
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