MEN 201 Final, Spring 2006

} ar a o Aw Notre Dame University. Department of Mechanical Engineering Final-MEN101 (Dynamics) Closed book:2hr Dr. Gabi Nehme. PhD 04-02-06 Instructions: You must explain your methodology carefully and in detail, including the specific assumptions you use. Steps should be clear. Probiem #1(10, 10points) The car has a total weight of 950 kg. ¢) a) Find the resultant Normal force acting on the car when it is at point A and freely going at 3m/s. I) b) Compute the increage in the car speed at this point Neglect air resistance and do not pay atténtiof for the size of the car. aes lq _— = XS i) ae Ne <<) : ey Problem#2(15points) v* %, | A 5 Kg block rests on the horizontal surface. The spring is initially compressed 0,4 nv from B to A. After the block is released from rest at A, determine its velocity when it passes point C. jy, = 0.25. ~axkourdO thuey too =Ly Lig } osm’ fy2 - . 742 0.4m fs it 1 Vm 1000N/m Fy \ A _O14kd X10 M\ - O LO A B Cc Oo 7” rk (0 ~ na x 06 } = z Q igo 9 7 zd Br = NM Ha kh yf if ah $4,436 Boose Val. al. U, - aa Tye, = Tik¥a = = =u DU venice 1 ¥ ioe ' F —_ Vetored 28 ~ Gx Ol ve Cod (LX) Gaby “Heyy! (os ? ss \ ” Problem#3(20points) : 7 1 For the three bar linkage shown woc = 4rad/s; Find wan and wpapt the instant shown. 4 Cc 7 o iN ast Pa = \ 3 e@— 7 S = eM d 6 &, SS Problem#4(15, 1Spoints) When the slender 20kg bar AB is horizontal; it is at rest and the spring is unstretched, a) Find the stiffness k of the spring so that the motion of the bar is momentarily stopped when it has rotated downward 90°. b) Find the angular velocity of the bar when 6 = 60°. 2. \ i) Problem#S(1Spoints) Blocks A and B with mass m, find the largest horizontal force P which can be applied to A so that B wil! not move relative to A. All surfaces are smooth. eS 4 meat at =< Wa xl f : a € eA. 4 4 ais +See w : il 2