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Vertical Stone Circle Motion

A stone is whirled in a vertical circle as shown below. A, B, C, and Dare various positions of the stone in its motion.
Vertical Stone Circle Motion
The stone makes 2 revolutions per second in a circle of radius 0.4m, and has a mass of 100g.
(i) Calculate the centripetal force acting on the stone
(ii) The string cuts after acquiring constant angular speed. Identify the likely position where this occurred and on the same diagram sketch the new path followed by the stone.
(iii) The stone takes 0.5 seconds to land on the ground. How high is this point in (ii) above the ground?
(iv) How far does it travel horizontally before hitting the ground?
0
(0 Ratings)
(i)

f = 2Hz
F = m2r
= 0.1 x (2f)2 x 0.4
= 6.32 N

(ii) Vertical Stone Circle Motion

(iii)

h = ½ at2
= 0.5 x 10 x 0.52
= 1.25 m

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October 05, 2023

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