A particle moves along a circular path with decreasing speed. Hence

A particle moves along a circular path with decreasing speed. Hence
  1. its resultant acceleration is towards the centre.
  2. its angular momentum remains constant.
  3. the direction of angular momentum remains constant.
  4. it moves in a spiral path with decreasing radius.

Solution

A particle moves along a circular path with speed, then the angular momentum is given by $\overrightarrow{\mathrm{L}}=\overrightarrow{\mathrm{r}} \times \overrightarrow{\mathrm{p}}=\overrightarrow{\mathrm{r}} \times \mathrm{m} \overrightarrow{\mathrm{v}}$ When the speed v decrease, the magnitude of of angular momentum decreases. But the direction of angular momentum remains constant.

Asked in: MHT CET 2020 (14 Oct Shift 2)

Practice more Motion In Two Dimensions questions on Aicharya