1. (15%) Determine by direct integration the location of the centroid of a parabolic spandrel.

2.(20%) A worker slowly moves a 50-kg crate to the left along a loading dock by applying a force P at comner B as shown. Knowing that the crate starts to tip about the edge E of the loading dock when a = 200 mm, determine (a) the coefficient of kinetic friction between the crate and the loading dock, (b) the corresponding magnitude P of the force.

3. (15%) A thin plate of the shape (A square plate of side b) indicated and of mass m is suspended from two springs as shown. If spring 2 breaks, determine the acceleration at that instant (a) of Point A, (b) of Point B.

4.(15%) Linkage DBEF is part of a windshield wiper mechanism, where points O, F and D are fixed pinned connections. At the position shown, θ = 60° and link EB is horizontal. Knowing that link EF has a counterclockwise angular velocity of 4 rad/s at the instant shown, determine the angular velocity of links EB and DB.

5. (15%) A 30-kg block rests on top of a 20-Kg block supported by, but not attached to, a spring of constant 40 N/m. The upper block is suddenly removed. Determine (a) the maximum speed reached by the 20-kg block, (b) the maximum height reached by the 20-kg block.

6.(20%) A projectile enters a resisting medium at x = 0 with an initial velocity vo = 270 m/s and travels 100 mm before coming to rest. Assuming that the velocity of the projectile is defined by the relation v = vo - kx, where v is expressed in m/s and x is in m, determine (a) the initial acceleration of the projectile. (b) the time required for the projectile to penetrate 97.5 mm into the resisting medium.

二、問答與計算:  1. 請將十進位 3242 轉換成 2 進位、8 進位與 16 進位。 (15%)

2. 請求出十進位數字 23 的 2 的補數。(10%)

3. 在網路通訊中，資料交換的技術有哪三種？(15%)

Problem 3. (5%) Let x = (1,3,5)(1,2) and y = (1,5,7,9) Group G. Please calculate. Please justify your answer. Otherwise, you get 0 points.

Problem 4. (15%) There are two apples and four oranges. You would like to buy three of them, but at least one apple should be selected. Please show that how many choices you have. Please justify your answer. Otherwise, you get 0points.

110年 - 110 國立中山大學碩士暨碩士專班招生考試_機電系碩士班/乙組:應用力學(含靜力學及動力學)#104258

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

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