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製造組:應用力學(C)(包含靜力學、動力學）#101324

1. (20%) The compound beam shown in Fig. I is pin-connected at B. Determine the reaction at the support A. Please neglect its weight and thickness.

2. (20%) At the instant shown in Fig. 2, the velocity of point A is 0.2 m/s to the right. Find the angular velocity of rod B, and determine the velocity of its other end (point B) which is constraint to move in the circular slot.

3. (20%) Collar Cin Fig. 3 is pined to rod Rat P and is free to slide along rod B. The angular velocity of Ris 0.2 rad/s in clockwise direction. Find the angular velocity of B at this time. Determine the velocity of P relative to B.

4. (20%) As shown in Fig. 4, force P is applied to a plate that rests on a smooth surface with the friction coefficient μ2equal to 0. The friction coefficient between the Mass m and Mass M is given as μ1. Find the largest force P for which the pipe will not slip on the plate.