Question 368: Centre of Mass and Rotational Motion

Question

Angular momentum of the particle rotating with a central force is constant due to

Accepted Answer

We know that $$\overrightarrow {{	au _c}}  = {{d\overrightarrow {{L_c}} } \over {dt}}$$
where $$\overrightarrow {{	au _c}} $$ torque about the center of mass of the body and $$\overrightarrow {{L_c}}  = $$ Angular momentum about the center of mass of the body.
Given that $$\overrightarrow {{L_c}}  = $$ constant.
$$	herefore$$ $${{d\overrightarrow {{L_c}} } \over {dt}}$$ = 0
$$ \Rightarrow $$ $$\overrightarrow {{	au _c}}  = 0$$  [as $$\overrightarrow {{	au _c}}  = {{d\overrightarrow {{L_c}} } \over {dt}}$$]

Answer

constant torque

Answer

constant force

Answer

constant linear momentum

Answer

zero torque

Centre of Mass and Rotational Motion

Angular momentum of the particle rotating with a central force is constant due to

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