Math  /  Geometry

Question4. ( 6pts6 p \mathrm{ts} ) A 4.0kg4.0-\mathrm{kg} block is attached to a vertical pole by two 2.0 m ropes. The 3.0 m long pole rotates such that the block swings in a horizontal circle at a constant speed of 6.0 m/s\mathrm{m} / \mathrm{s}. (a) Draw an FBD of the block at the instant shown. Include the direction of centripetal acceleration. (b) Find the magnitude of the centripetal acceleration. (c) Find the tension in each rope.

Studdy Solution
(a) The Free Body Diagram shows the block with two ropes pulling towards the pole and an arrow indicating centripetal acceleration towards the center.
(b) The magnitude of the **centripetal acceleration** is 12.0m/s2 12.0 \, \text{m/s}^2 .
(c) The tension in each rope is 24.0N 24.0 \, \text{N} .

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