Engineering Mechanics Dynamics Fifth Edition Bedford Fowler Solutions Manual Now

Let ( s_A ) = distance of A along incline from fixed pulley at top right (positive down incline). Let ( y_B ) = horizontal distance of B from left fixed anchor (positive right).

Thus: Rope from fixed pulley to A shortens at rate ( v_A ). Rope from left fixed point to B lengthens at rate ( v_B \cos\theta ). Since total rope length constant: ( v_A = v_B \cos\theta ). Let ( s_A ) = distance of A

Therefore: