ME 274 Spring 2008 Examination No 1 PROBLEM NO 3 Name Instructor Given A robotic manipulator is made up of two links OA and ADB as shown in the figure below left Link OA has a fixed length of L 4 ft and the length link ADB is increasing at a constant rate of 6 ft sec The orientation angles of links OA and ADB are increasing at constant rates of d dt 2 rad sec and d dt 3 rad sec respectively Find For the position shown below right with b 3 ft 0 and 90 determine the acceleration of point B on the manipulator HINT In solving this problem use an observer that is attached to AD and with a set of coordinate axes also attached to AD x x B B b y D L O D A O 90 y A ME 274 Spring 2009 Examination No 2 PROBLEM NO 2 Given Find Name Concrete block A having a weight of WA is attached to log B having a weight of WB with the cable pulley system shown The system is released from rest with log B resting on a rough incline coefficient of kinetic friction k sB O B k For this problem a determine the direction of motion for the block A You need to justify your answer with analysis b determine the acceleration of block A You must provide appropriate free body diagrams in order to receive full credit for this problem Use the following parameter values in your analysis WA 50 lb WB 400 lb k 0 2 and 36 87 sA ME 274 Spring 2009 Examination No 2 PROBLEM NO 1 Name Given Blocks A and B having masses of 2m and m respectively are connected by rigid massless rod AB of length L Block A is constrained to move along a smooth vertical guide and B moves along a smooth horizontal surface The system is released from rest when A is at a height of h1 ABOVE the path of B Find 2m A g m L B For this problem a Draw a free body diagram of the system made up of block A block B and rod AB b Determine the speed of block A when A has dropped to a position that is at a distance of h2 BELOW the path of B In your analysis use the following parameter values m 10 kg k 1000 N m L 0 5 meters h1 0 4 meters and h2 0 3 meters h1