A metal rod of mass M = 6 kg and length L = 0.5 m, is attached at one end by a hinge to a vertical wall. It is initially supported at the other end so that it is in static equilibrium and lies horizontally. hinge support (a) (i) Determine the magnitude and direction of the force on the bar due to the support. (ii) Determine the magnitude and direction of the force on the bar due to the hinge. (b) Show that the moment of inertia of the bar about the end that is attached to the wall is Iy = 0.5 kg m2 (c) The support is removed and the bar swings down about the end attached to the hinge. What is the acceleration of a point on the end of the rod just after the support is removed (at this instant the acceleration vector will point directly down)? Give your result in terms of g.

F= 150 N In the structure shown, force F is applied at point A at an angle of 0 in the direction shown. Pins at G, E, D, B, and C are all frictionless and all members are weightless. For the given values of F and 0 determine: F 0 = 40 deg A G (a) The reactions at points G and E (b) The forces applied to member GDC at points C and D (c) The forces applied to member ABC at point B 70 m 50 m E D B Note: components of forces in x and y directions are enough. 15 m YA 60 m 20m ALL WORK MUST BE SHOWN (FBDS, EQUATIONS, etc.). CORRECT ANSWERS WITHOUT CLEAR EVIDENCE OF HOW THEY WERE OBTAINED WILL BE MARKED AS ZERO.

Calculate the forces in members AB, BH, and BG. Members BF and CG are cables which can support tension only. Forces are positive if in tension, negative if in compression. A 5m B 5 m 54 54 Answers: AB = i BG= BH = i 8 KN H i G 16 kN c 5 m 54° 54% E D kN kN kN

A straight, uniform bar weighing 60lb rests in a horizontal positon between two frictionless slopes. A concentrated load of 200lb acts at distance x from the right hand slope.  Determine x and reaction forces assuming that the bar is in static equilibrium.