- D5 A Piston Is Connected To A Crank Of Radius 1 By A Connecting Rod Of Length L As Shown In 1 Figure 3 2 Overleaf A 1 (186.54 KiB) Viewed 29 times
D5. A piston is connected to a crank of radius 1 by a connecting rod of length l as shown in 1 Figure 3.2 overleaf. (a) Express the co-ordinates of Q in terms of 8 and use the distance formula for |PQ|2 to show that y = cos 0 – 1 + V 12 – sin. = (b) Show that if I is very large, then y = cos . (c) Draw the (theoretical) graph of y against o for 0 SO S 27 if I = 1. (Hint: V1 - sin? 0 = cos | not just cos 0. Why?) (d) Find this and the Compare the magnitudes of the values of om at 6 = 0 and 0 = 7. A . It follows that the tensile force on the connecting rod at top dead centre at constant angular velocity is greater in magnitude than the compressive force at bottom dead dy day day 102 = centre.