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A Particle Moves with a Constant Velocity Parallel to the X-axis. Its Angular Momentum with Respect to the Origin - Physics

MCQ
Fill in the Blanks

A particle moves with a constant velocity parallel to the X-axis. Its angular momentum with respect to the origin ____________.

Options

  • is zero

  • remains constant

  • goes on increasing

  • goes on decreasing

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Solution

remains constant

 

For angular momentum, we have

\[\overrightarrow{L}  = m\left( \overrightarrow{r} \times \overrightarrow{v} \right)\] 

\[ \overrightarrow{v}  = v \hat i\text{ and }\overrightarrow{r}  = x \hat i + y \hat j \] 

So,\[\overrightarrow{L}  =  - mvy \hat k\]

m, v and y are constant; therefore, angular momentum remains constant.

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APPEARS IN

HC Verma Class 11, 12 Concepts of Physics 1
Chapter 10 Rotational Mechanics
MCQ | Q 3 | Page 193
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