※ 引述《Morphee (千磨万击还坚劲)》之铭言： : 课程名称︰普通物理学 : 课程性质︰ : 课程教师︰林敏聪 : 开课系所︰电机系 : 考试时间︰2004.11.11 : 试题 : : 1.please write down and derive the "equivalent" expression of Newton's second : law in both translational and angular forms. What are the assumption for : their application in classic mechanics? Are those "equivalent" forms really : equivalent? Why?(15%) : 2.Two particles,each of mass m and speed v,travel in opposite directions along : parallel lines separated by distance d.(a)In terms of m,v,and d find an : expression for magnitude L of angular momentum of the two-particles system : around a point midway between the two lines.(b)Does the expression change if : we change the point about which L is calculated?(c)Now reverse the direction : of travel for one of the particles and repeat(a)and (b).(15%) : 3.Please prove the parallel-axis theorem and calculate the rotational inertial : of body(a),(b),(c) (20%) : (a) 一圆柱长L 半径R 参考轴通过圆柱一边末端的圆心 : (b) Solid sphere 直径2R 参考轴在 Solid sphere 之表面 : (c) 一长宽l,t的矩形 轴垂直矩形面 在矩形的一个角上 : "这原本应该有图的"= =|| : 4.Consider a damped simple harmonic motion with the total force sigma F=-kx-bv : ,where k is force constant of the spring,x the displacement,v the velocity,b : the damping constant.Please write down and solve the (differential) equation : of motion from Nentow's Sencond Law.(10%) : 5.(20%) A small ball with mass m and velocity v moves toward the end of suspend : -ed rod ,having mass M and length L and sticks to it after collision. : (a) What is the rotational inertia of the rod about the pivot O? : (b) What is the angular velocity w after collision? : (c) Is this collision completely-inelastic? Why or Why not? : (d) If v small enough,find the osillation frequency of the composite system : about the pivot. : 6.(10%) A spring (k=200N/m) is fixed at the top of a frictionless plane which : is inclined at angle θ=40度.A 1.0 Kg block is projected up the plane,from : an initial position that is distance d=0.60 m from the end of the relaxed : spring,with an kinetic energy of 16 J. : (a) What is the kinetic energy of the block at instant it has compressed the : spring 0.2m? : (b) With what kinetic energy must the block be projected up the plane if it : is to stop momentarily when it has compressed the spring by 0.4m? : 7.(10%) Block 1 of mass m1 slides from rest along a frictionless ramp from : height h=2.50m and then collides with stationary block 2,which has mass m2= : 2.00m1.After the collision,block2 slides into a region where the coefficient : of kinetic friction μk is 0.500 and comes to a stop in distance d within : that region.What is the value of the distance d if the collision is : (a) elastic and (b)completely inelastic? : 8.Good luck!!!! 林敏聪耶..我大一给他教的 他笔记漫不赖的唷 不过重点放在热力学,电磁学,近物~~ 其他都只是带过 晚点我贴其他年度的 解答懒的打....@@ -- 此生 此爱 此刻挥霍 挥霍我的色彩 在你的天空 --

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