课程名称︰机器动力学 课程性质︰选修 课程教师︰傅增隶 开课学院：工学院 开课系所︰机械工程学系 考试日期（年月日）︰2008/4/23 考试时限（分钟）：60 是否需发放奖励金：是 （如未明确表示，则不予发放） 试题 : 1.In figure 1, the block m1 is caused to oscillate by the attached pendulum with length l and restrained by two equal linear springs k. The overall friction between the block and its guideway is proportional to the relative velocity squared, and the proportionality constant is B. The moment of inertia of m2 about g2 is Ig. (a) Identify clearly the generalized coordinate(s) on the graph. (6%) (b) Formulate velocity of m2 and the kinetic energy of the system. (16%) (c) Formulate the potential energy of the system. (7%) (d) Determine the generalized force(s) on the system. (6%) (e) Using Lagrange methods, obtain the differential equations of motion. (20%) 图见课本4-9 2.In a dive maneuver, a jet airplane travels in a circular arc lying in a vertical plane,which has a radius R of 1800 m as shown in figure 2. The speed of the airplane is 950 km/h. The engine rotor rotates at 12,000 rpm clockwise when viewed from the tail of the airplane, and its moment of inertia about the spin axis is 4.0 N-m-s2. (a) Using the xyz coordinates shown in the figure, calculate the magnitude and direction of the moment required for the airplane to make the turn. (20%) (b) Will the head of airplane tilt left or right, and why? (Answer without reasons is not acceptable, 10%) (c) If the engine is subject to a moment of My = + 800 N-m, please determine the direction and radius of the turn it can make. (15%) 图略 本题有附公式 -- 01. <(￣︶￣)> 02. <(￣︶￣)/ 03. b(￣▽￣)d 04. 汗(￣口￣)!! 05. ╮(￣▽￣)╭ 06. ╰(￣▽￣)╭ 07. ╮(￣﹏￣)╭ 08. (￣▽￣@) 09. ○(￣﹏￣)○ 10. <(￣oo,￣)/ 11. ╮(￣▽￣")╭ 12. ︿(￣︶￣)︿ --

※ 发信站: 批踢踢实业坊(ptt.cc) ◆ From: 61.217.129.79