110年 - 110 國立臺灣大學_碩士班招生考試_機械工程研究所機械設計組:動力學(D)#100707

(a) (7%) Determine the inertia force, magnitude and direction.

(b) (7%) What is the magnitude of the inertia torque?

(c) (8%) Consider the gravity effect (g =9.81 n/s² and is vertically downward), then determine the external force vector F_A which is acting at point A with a direction shown in the figure to produce the given angular motion. (Hint: write the force/moment balance equations)

(d) (8%) Continue (c), what is the reaction force on link 2 at O₂?

(a) (10%) The mechanism is freely released when link 2 lies horizontally (θ2 = 0) and starts to oscillate. Determine the maximum and minimum angle of link 2.

(b) (25%) A motor is installed at the joint between the ground and link 2 to drive link 2 at a constant speed of 10 rad/s in the counter-clockwise direction. Draw the free body diagrams of link 2 and 3 when θ₂= 30° and determine the torque applied on link 2 by the motor.

(a) (7%) Find the normal forces, in N, of the front and rear wheels acting on a horizontal surface, while the car is not moving.

(b) (18%) Determine the maximum acceleration of this vehicle, in m/s2, if the available power of the vehicle is unlimited.

4. (10%) In the mechanism, shown in Fig. 4, link 2 rotates with a constant angular velocity, 10 rad/s CCW. Use this mechanism as an example to explain the Coriolis' acceleration, and show its direction in this case.

110年 - 110 國立臺灣大學_碩士班招生考試_機械工程研究所機械設計組:動力學(D)#100707

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