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Question : If the end of the cable at A is pulled down with a speed of ...

If the end of the cable at A is pulled down with a speed of 2 m/s, determine the speed at which block B rises.

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  • The end of the cable at point A is pulled down with a speed of 2 m/s.
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Step 1:
We start by establishing a datum at fixed pulley D. Thi...
Step 2:
Since the system consists of two cords, we can derive t...
Step 3:
The second equation is obtained by considering the dist...
Step 4:
To eliminate sC from the equations, we subtract equatio...
Step 5:
Taking the time derivative of the equation obtained in ...
Step 6:
Given that the velocity of point A is 2 m/s, we can sub...
Step 7:
Solving the equation, we find that vB = -0.5 m/s. Since...
In summary, by using position-coordinate equations and ...