A particle is confined to rotate in a circular path decreasing linear speed, then which of the following is correct? [2005]

Question

A particle is confined to rotate in a circular path decreasing linear speed, then which of the following is correct? [2005]

Smart Achievers · Accepted Answer

(2)

As particle is rotating in circular path and linear speed $V$ is decreasing, $L$ is not conserved in magnitude. Since the particle has two accelerations $a_{c}$ and $a_{t}$ therefore the net acceleration is not towards the centre.

The direction of $\vec{L}$ remains same even when the speed decreases.

Solution

Q.
A particle is confined to rotate in a circular path decreasing linear speed, then which of the following is correct [2005]

1 $\vec{L}$ (angular momentum) is conserved about the centre

2 only direction of angular momentum $\vec{L}$ is conserved

3 It spirals towards the centre

4 its acceleration is towards the centre

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Solution

Q. A particle is confined to rotate in a circular path decreasing linear speed, then which of the following is correct [2005]

1 L→ (angular momentum) is conserved about the centre

2 only direction of angular momentum L→ is conserved