ME104-Midterm1-Solns - ME 104: Engineering Mechanics II...

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Unformatted text preview: ME 104: Engineering Mechanics II Spring Semester 2011 Department of Mechanical Engineering University of California at Berkeley Professor Oliver M. OReilly First Midterm Examination Closed Books and Closed Notes Question 1 A Planar Pendulum ( 25 Points) As shown in Figure 1, a particle of mass m is attached to a fixed point O by a linearly elastic spring. The spring has a stiffness K and an unstretched length L . The motion of the particle is on the E x- E y plane. m O E x E y g linear spring Figure 1: Schematic of a particle of mass m which is attached to a fixed point O by a linearly elastic spring. A vertical gravitational force- mg E y acts on the particle. (a) Starting from the standard representations for the position vector r = x E x + y E y = r e r , (1) establish expressions for the velocity v and acceleration a vectors of the particle. In your solution, it is not necessary to derive the intermediate results e r = e and e =- e r ....
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ME104-Midterm1-Solns - ME 104: Engineering Mechanics II...

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