Ministry of Higher Education & Scientific Research University of Technology Materials Engineering Department Examiner: Assist. Prof. Dr. Emad S. Al-Hassani Subject: Engineering Mechanics Class: First Date : - - 2012 Time: 3 hr. (2011-2012) Note: Answer five questions All question carry equal marks Q1: The rectangular plate is made up of 1-ft squares as shown in figure (1). A 75-Ib force is applied at point A in the direction shown. Determine the moment of this force about point B and about point C. Q2: Determine the resultant R of the three tension forces acting on the eye bolt. Find the magnitude of R and the angle θx which R makes with the positive x- axis. See figure (2) Q3: The 450-kg uniform I-beam supports the load shown in figure (3). Determine the reactions at the supports. Q4: Three workers are carrying a 4-ft by 8- ft panel in the horizontal position shown in figure (4). If the homogeneous panel weighs 100Ib estimate the lifting force exerted by each worker Q5: Determine the x- and y- coordinates of the centroid of the shaded area in figure (5). Q6: The velocity of a particle traveling in a straight line is given by v= (6t -3t2) m/s, where t is in second. If s=0 when t=0, determine the particle 's deceleration and position when t= 3 s. how far has the particle traveled during the 3-s time interval, and what is its average speed? Figure (1) Figure (2) Figure (3) Figure (4) Figure (5) GOOD LUCK 1. The rectangular plate is made up of 1-ft squares as shown. A 75-Ib force is applied at point A in the direction shown. Determine the moment of this force about point B and about point C. 2. Determine the resultant R of the three tension forces acting on the eye bolt. Find the magnitude of R and the angle θx which R makes with the positive x- axis 3. The 450-kg uniform I-beam supports the load shown. Determine the reactions at the supports. 4. Three workers are carrying a 4-ft by 8- ft panel in the horizontal position shown. If the homogeneous panel weighs 100Ib estimate the lifting force exerted by each worker. 5. Determine the x- and y- coordinates of the centroid of the shaded area. 6. The velocity of a particle traveling in a straight line is given by v= (6t -3t2) m/s, where t is in second. If s=0 when t=0, determine the particle 's deceleration and position when t= 3 s. how far has the particle traveled during the 3-s time interval, and what is its average speed?