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Angular momentum is
Angular momentum=\(\dot{r}\)×(inearmomentum)
A gymnast takes turns with her arms & legs stretched. When she pulls her arms & legs in
Since no external torque act on gymnast, so angular momentum (L=Iω) is conserved. After pulling her arms & legs, the angular velocity increases but moment of inertia of gymnast, decreases in, such a way that angular momentum remains constant.
If a running boy jumps on a rotating table, which of the following is conserved?
The boy does not exert a torque to rotating table by jumping,so angular momentum is conserved i.e.,
\(\frac{d\dot{L}}{dt}=0\Rightarrow \dot{L}= constant\)
A simple pendulum is vibrating with angular amplitude of 90° as shown in figure.
For what value of θ is the acceleration directed
(i)vertically upwards
(ii)horizontally
(iii)vertically downwards
When θ = 0°, the net force is directed vertically upwards.
A projectile is thrown horizontally with a speed of 20 ms-1. If g is 10 ms-2, then the speed of the projectile after 5 second will be nearly