`In Fig., the blocks are of equal mass. The pulley is fixed. In the positive shown, A moves down with a speed u and v B = the speed of B.
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Let the lengths of the sections of the string be BP = l 1 and PA = l 2 in the position shown. Let B move through a small horizontal distance x to B' and A move down through a distance y to A'. Length of the string.
= BP + PA = B'P + PA'.
l 1 + l 2 = ( l 1 – x cos θ θ ) + l 2 + y
or 
= 
cos θ θ
or v A = v B cos θ θ = u
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