The 4.00 kg block is attached to a vertical rod by means of two strings. When the system rotates about the axis of the rod, the strings are extended as shown, and the tension in the upper string is 80.0 N. (a) What is the tension in the lower cord? (b) How many revolutions per minute does the system make? (c) Find the number of revolutions per minute at which the lower cord just goes slack. 8) 1.25 m 2.00 m 4.00 kg 1.25 m

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**Problem 8: Rotating Block and Strings System**

A 4.00 kg block is attached to a vertical rod using two strings. When the system rotates about the rod's axis, the strings extend as illustrated. The tension in the upper string is 80.0 N. 

**Tasks:**
(a) Determine the tension in the lower cord.
(b) Calculate the number of revolutions per minute the system makes.
(c) Find the number of revolutions per minute at which the lower cord just goes slack.

**Diagram Explanation:**

- The diagram shows a vertical rod with a block attached to two strings.
- The block has a mass of 4.00 kg.
- The upper string is connected 1.25 m above the block, and the lower string is also connected 1.25 m below the top of the block, with the total length of the rod being 2.00 m.
- The block rotates around the base of the rod. 

This setup is used to analyze rotational dynamics and tension in the strings under rotation.
Transcribed Image Text:**Problem 8: Rotating Block and Strings System** A 4.00 kg block is attached to a vertical rod using two strings. When the system rotates about the rod's axis, the strings extend as illustrated. The tension in the upper string is 80.0 N. **Tasks:** (a) Determine the tension in the lower cord. (b) Calculate the number of revolutions per minute the system makes. (c) Find the number of revolutions per minute at which the lower cord just goes slack. **Diagram Explanation:** - The diagram shows a vertical rod with a block attached to two strings. - The block has a mass of 4.00 kg. - The upper string is connected 1.25 m above the block, and the lower string is also connected 1.25 m below the top of the block, with the total length of the rod being 2.00 m. - The block rotates around the base of the rod. This setup is used to analyze rotational dynamics and tension in the strings under rotation.
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