Block rising between two downward-moving wires at angle α

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Homework Statement



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Homework Equations




if the 2 wires on both sides move with downward velocity u , with what velocity does the block rise , the angle with vertical is a ;

The Attempt at a Solution



i cannot figure out the solution, i think it should be 2ucos(a)
please help!1
 
Diagram of a pulley system: a horizontal ceiling bar with two pulley wheels hanging from it, a block hung below a vertex between two diagonal strings, and a red right triangle labelled b (horizontal), h (vertical) and l (hypotenuse) with angle a marked at the lower vertex.


consider the triangle in red

use Pythagoras theorem on it and differentiate it.

dh/dt is what you need and dl/dt is speed of string
what you think of db/dt ?
 
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  • Diagram of a pulley system: a horizontal ceiling bar with two pulleys hanging from it, a box suspended below the apex of a red right triangle, with sides labeled b, h and l and angle a at the apex.
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Kartikc said:
so is 2ucos(a) right? i think it should be!

no its not ...

even i thought it should be but its not

try the way i told and you'll get the answer