課程名稱︰靜力學
課程性質︰必修
課程教師︰陳國在
開課學院：工學院
開課系所︰工科海洋系
考試日期（年月日）︰2012/04/19
考試時限（分鐘）：120分鐘
是否需發放獎勵金：是
試題:
Problem 1: answer the following questions:
1. What is the difference of a free vector from a sliding vector?(5%)
2.For some concurrent forces at point O in a plane, try to show the simplest
resultant for them.(5%)
3.If the forces system in question 2 is in equilibrium, what is its equation
of equilibrium?(5%)
4.Try to write all possible sets of equilibrium equation for a general plane
planes system.(5%)
Problem 2: The rigid pole and cross-arm assembly is supported by the three
cables shown. Determine the vector expression for the monent of the
1.2-kN tension (a) about point B and about the pole z-axis (15%).
Problem 3: As discussed in the text and classroom, the equations of equilibrium
for a plane mechanical forces system is usually two force equations
and one moment equation. Try to prove that the above three equations
by three moment equations (14%).
Problem 4: Determine the wrench resultant of the three forces acting on the
bracket. Calculate the coordinates of the point in the x-y plane
through which the resultant force of the wrench acts. Also find the
magnitude of the couple M of the wrench (14%).
Problem 5: Determine the tension T in the turnbuckle for the pulley-cable
system in terms of the mass m of the body which it supports. Here
the mass of the pulleys and cable are neglected.
Problem 6: What is the degree of the statical indetrminancy for a mechanical
system in equilibrium? And also count the degree of statical
indeterminancy for a plane beam in both-ends built-in support(14%).
Problem 7: As talked in classroom, the free-body diagram of a mechanical system
plays the most important role in setting up the equations of
equilibrium for the system. Can you tell the sense of the free-body
diagram of a mechanical system? Again try to draw it for the system ]
as shown in Fig. 3/2.3(14%).
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