5. (10 points) Determine the direction and magnitude of the velocity \( u \) of the left load, if the velocity of the right load \( v = 1 \) m/s. The threads are inextensible and weightless, and the lever is rigid.

![](https://cdn.mathpix.com/cropped/2024_05_06_cb5516e3c2a397a958cdg-2.jpg?height=288&width=822&top_left_y=2466&top_left_x=731)
Answer: 3.5 m/s upward.

Solution. The velocity of the center of the block is directed upward and is equal to:

$v_{c}=\frac{7}{4} v=\frac{7}{4} \cdot 1=\frac{7}{4} \mathrm{m} / \mathrm{s}$.

We get: $u=2 v_{c}=2 \cdot \frac{7}{4}=3.5 \mathrm{m} / \mathrm{s}$.

The velocity of the left load is directed upward.

(2 points)