A T-bar of mass mr is pivoted about a horizontal axis through point in the picture. The centre of mass of the T-bar ( point O as shown a from GT) is located at a distance me is connected to the bar by an (see figure). A block of mass inextensible wire of length d and can slide vertically. The moment of inertia of the T-bar about its centre of mass is I The spring has constant and is unstretched when 1/2 42 0=0 L GT k y d B is the angle of rotation of the T-bar measured from the vertical, the block measured from the horizontal line. The constraint equation is: y=d-sin(0). y is the height of The Lagrangian of the system associated with the constrained set of generalized coordinates Q {y, 0} is 0 L= (mra +11) - 1 my + mrga cos(0) + migy-k(y-d) L= (m + 1) + ml cos (0) + m ga cos(0) mg1 sin(0) kl sin (6) L= (mra +11) + m - mga cos(0) mgy-k(y-d) L= (mra + 1) + m + mga cos(0) + magyk(y-d) L= (mra +11) + m cos (6) - my ga cos(0) + mg sin(9) - k sin (0)