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Sholpan
6 days ago
8

A uniform 1.0-N meter stick is suspended horizontally by vertical strings attached at each end. A 2.0-N weight is suspended from

the 10-cm position on the stick, another 2.0-N weight is suspended from the 50 cm position, and a 3.0-N weight is suspended from the 60 cm position. What is the tension in the string attached at the 100-cm end of the stick?
Physics
1 answer:
serg [1.1K]6 days ago
4 0

Response:

3.5 N

Reasoning:

Taking the 0 cm position as the pivot point, to achieve balance, the total moment calculated around this point must equal zero. We will analyze the moment generated at each point, moving from 0 to 100 cm:

- Tension from the string at the 0 cm mark is 0, since the moment arm is nonexistent.

- A 2 N weight at the 10 cm point creates a moment of 20 Ncm moving clockwise.

- Another 2 N weight at the 50 cm position produces a moment of 100 Ncm also clockwise.

- The weight of the 1 N stick located at its center of mass (50 cm) has a moment of 50 Ncm, clockwise.

- A 3 N weight at the 60 cm position generates a moment of 180 Ncm, clockwise.

- The tension T (N) from the string at the 100 cm end contributes a moment of 100T Ncm, moving counter-clockwise.

Total clockwise moments = 20 + 100 + 50 + 180 = 350 Ncm.

Total counter-clockwise moment = 100T.

To achieve balance, we set 100 T = 350, leading to T = 350 / 100 = 3.5 N.

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