5. (10 points) Determine the direction and magnitude of the velocity \( u \) of the right load, if the velocity of the left load \( v = 0.5 \, \text{m/s} \). The threads are inextensible and weightless, and the lever is rigid.

![](https://cdn.mathpix.com/cropped/2024_05_06_cb5516e3c2a397a958cdg-6.jpg?height=314&width=871&top_left_y=2476&top_left_x=701)
Answer: $0.29 \mathrm{m} / \mathrm{c} ;$ upwards.

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

$v_{c}=\frac{2}{7} v=\frac{2}{7} \cdot 0.5=\frac{1}{7} \mathrm{m} / \mathrm{c}$.

We obtain: $u=2 v_{c}=2 \cdot \frac{1}{7}=0.29 \mathrm{m} / \mathrm{c}$.

The velocity of the right load is directed upwards.

(2 points)