所屬科目：研究所、轉學考(插大)◆動力學
(a) At an instant after it passes B, the normal force exerted by the road on the car drop to one-third of the normal force at point A. Please determine the θ. (15%)
(2) (Please see Fig. 2) Three identical small spheres, each of mass 1 kg, can slide freely on a horizontal frictionless surface. Spheres B and C are connected by a light rod and are at rest in the position shown when sphere B is struck squarely by sphere A which is moving to the right with a velocityVo= 2.4 m/s. Knowing that θ = 45°and that the velocities of spheres A and B immediately after the impact are and ， determine (a) (9%); and (b) the velocity of sphere C immediately after impact. (16%)
(3) (Please sce Fig. 3) The homogeneous sphere of mass m and radius r is projected along the incline of angleθ with an initial speed v0 and no angular velocity (ω0 = 0). If the coefficients of static and kinetic friction are μs and μk, respectively, determine the time duration t of the period of slipping (10%). In addition, find the velocity v of the mass center G and the angular velocity ω at the end of the period of slipping.(7% and 8%, respectively)
(4) (Please see Fig. 4) As shown in Fig. 4, the crank AB rotates with a constant angular velocity of 600 rpm clockwise. Please determine: (1) the angular velocity of the connecting rod BD (10%); (2) the angular acceleration of the connecting rod BD (10%); (3) the acceleration of point D on the piston. (5%)
阿摩線上測驗
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阿摩線上測驗
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and 
， determine (a) 
(9%); and (b) the velocity of sphere C 
immediately after impact. (16%)
(1) the angular velocity of the connecting rod BD (10%); (2) the angular acceleration of the connecting rod BD (10%); (3) the acceleration of point D on the piston. (5%)