Question 5 (a) Solve the following differential equation: day dy + 2y = e-sin r dra...
Question 5 (a) Solve the following differential equation: day dy + 2y = e-sin r dra dr (10 marks) (b) Slider-cranks, such as that shown below, transform rotary motion to back-and-forth motion along a straight line, and vice versa, Rod AB, of length , is pinned at A, and rod BC, of length L, is pinned to rod AB at B, As AB rotates around A, C is confined to move along a horizontal line segment between points D and E, called the stroke of the mechanism. Rotary motion of B is transformed to straight-line motion of Calong DE. This crank is said to be offset because the extension of line segment DE does not pass through the centre of the circle A; it is offset by an amount e. Find the offset that maximizes the stroke if the offset must not exceed the radius of the circle. (10 marks) B r L A с E D (A total of 20 marks for this question.)