西安交大理论力学双语版卷.docVIP

XI’AN JIAOTONG UNIVERSITY Course code title : C06002 Theoretical mechanics Course Type: Engineering science Session: Semester A 2006-2007 Time allowed: 150 minutes Dept。(系别).:_____________________ Class code(专业班号):_______________ Name(姓名):_______________________ Number(学号):_____________________ Materials, aids instruments permitted to be used during examination: Approved non-programmable calculator; 2. Ruler; Compass; 4. Pens and Pencils. SECTION NUMBER I 30% II 15% III 15% IV 15% V 10% VI 10% TOTAL SCORE MARKS SECTION I (30%) Direction: For each of the following 6 questions, there are several blanks. Please fill in the blanks with simpler answers. 1. Plane structure consists of two L-shaped bar ABC and DEF， they are pined at pointＦ. A and D both are fixed-pine supports. If a force F acting at point C of bar ABC , neglecting the weights of the bars，the reactions of support A and D should be: and . (the directions of the reactions should be shown in the Fig. ） A cubic rigid body as shown in the Fig. Given a (m)，and the two forces 、 (the magnitude of both force are equal toＦIf we reduce the force system to point A, then the Principal and the Principal moment of the system must be: 　　　　　　　 . (Please show the directions in the Fig.) 3. Planar mechanism as shown in the Fig. Bar O1B rotates with an angular velocity about axis O1. If we consider the motion of the slider A, and attached a moving frame of reference to bar O1B, when, the magnitude of Coriolis’ acceleration of block A equals:___________________ （Please show the direction of Coriolis’ acceleration of the slider A in the Fig.） 4. Trying to locate the positions of the instant center for velocities of each member undergoing plane motion (Draw out in the Fig), and show the direction of the velocity of the midpoint M of bar BC in the position shown in the Fig. 5．L-sha