課程名稱︰力學上
課程性質︰物理系必帶
課程教師︰龐寧寧
開課學院：理學院
開課系所︰物理系
考試日期（年月日）︰2019/01/07
考試時限（分鐘）：180分鐘
是否需發放獎勵金：是
（如未明確表示，則不予發放）
試題 :
Mechanics 2019/01/07
1. Show that the geodesic on the surface of a right cylinder is a segment of a
helix. (16%)
2. In an Atwood (the left graph below) machine mass m_1 is hung on the left
side of a fixed massless pulley which rotates without slipping on a massle-
ss string. A mobile pulley of mass m_2 and radius R can move vertically and
also rotate without slipping on the string. Use the Lagrange undertermined
multipliers to calculate the accelerations of m_1 and m_2 and tensions t_1
and t_2. (20%)