Questions and Answers
When a diver bends his head before diving, what effect does it have on his moment of inertia?
Decreases his moment of inertia
In the scenario of a stone tied to one end of a string being whirled in a horizontal plane with progressively increasing speed, why does the string break at some speed?
The required centripetal force is greater than the tension sustained by the string
Under what condition is the angular momentum of a system of particles conserved?
When no external torque acts upon the system
Study Notes
Moment of Inertia
- When a diver bends his head before diving, his moment of inertia decreases, making him more compact and allowing for faster rotation.
Rotational Motion
- As the speed of the whirled stone increases, the centripetal force required to keep the stone moving in a circular path also increases.
- The string breaks when the centripetal force exceeds the maximum tension it can withstand, causing it to snap.
Conservation of Angular Momentum
- The angular momentum of a system of particles is conserved when the net torque acting on the system is zero, meaning the system is not experiencing any external rotational force.
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