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Engineering Mechanics II Mid-term Exam

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Question (1) (Total mark: 10) Read the following statements thoroughly, write True (T) or False (F) and correct the False one by changing the wrong word(s): 1.1) Kinematics treats the geometric asp ... ects of the motion and its causes. F (1 mark) 1.2) If you are given an equation of acceleration (a) in terms of time (t). Then the second integration of the equation will give the velocity. (position) F (1 mark) 1.3) A body falling freely under the force of gravity is an example of motion under variable acceleration. (constant) F (1 mark) 1.4) The study of the motion of a particle means that we must limit application to those objects that have dimensions that are of no consequence in the analysis of the motion. T (1 mark) 1.5) The average velocity is always a positive scalar and is defined as the total distance traveled by a particle, divided by the elapsed time. (speed) F (1 mark) 1.6) A moving particle can have an acceleration and yet have zero velocity. T (1 mark) 1.7) When a particle has erratic or changing motion then its position, velocity, and acceleration can be described by a single continuous mathematical function along the entire path. (cannot) F (1 mark) 1.8) Change in velocity of a particle is equal to the area under the ? − ? graph. (a) F (1 mark) 1.9) If the ?– ? graph is linear (a first-degree curve), differentiation will yield a ? − ? graph that is parabolic (a second-degree curve) (integration) F (1 mark) 1.10)Curvilinear motion can cause changes in both the magnitude and direction of the position, velocity, and acceleration vectors. T (1 mark) Question (2) (Total mark: 12) The acceleration of a particle along a straight line is defined by ? = (?? − ?) ?/? ? where t is in seconds. At ? = ?, ? = ? and ? = ?? ?/?. When ? = ? ?, determine a) the particle’s position, ? = ?? ?� [Show More]

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