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Grade: upto college level

                        

Describe qualitatively the acceleration acting on a bead that, sliding along a frictionless wire, moves inward with constant speed along a flat spiral.

5 years ago

Answers : (1)

Navjyot Kalra
askIITians Faculty
654 Points
							The magnitude of the acceleration of the bead moving in a spiral path centered about a point say P and moving with constant speed v0 is given as:
232-2413_1.PNG
Here r is the magnitude of position vector of the bead relative to point P.
Using the relation above, one can deduce that if the bead slides into the spiral with constant speed, the magnitude of acceleration, which is232-785_1.PNG , increases. To account for this larger acceleration, larger centripetal force must act on the bead. Therefore the acceleration of the bead moving into the spiral will keep of increasing linearly with linear decrease in value of r.
5 years ago
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