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Midterm3_key

Midterm3_key - 1 Two balls approach each other head-on with...

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Unformatted text preview: 1. Two balls approach each other head-on with initial speeds of magnitude v11= 3 m/s and vz; = 5 m/s and collide elastically. After the collision, ball one, whose mass is m1= 0.3 kg, remains at rest, while ball 2 bounces back. Assume one dimensional motion. (a) What is the mass of ball 2 (m2)? (1 2.5 points) (b) What is the velocity of mg after the collision? (12.5 points) “’ :Smls m . 31 E? '4:ka #Wag. mi ﬁcgwollw I :O (5.} N‘Vﬁ. --N\'2\[7_§_ =m3§4£+ "hugchag W W ’Ff‘ouc 03 => (O‘%§B(3m[§\ _. m2 (Sm/5) : mzvzf 9%: 0.01 0;; +3 (I?) “‘15 0.0l V137.“ 2,?VQ10 ﬁg :0 A lW: gmls (ﬁrm Ci¥312§ N “Lax B 1. 3+5" ..lo.o?l%g (a m; = 0. O k_ (b) V2f = ; III/S 2. Two blocks, m1: 1 kg and m2= 4 kg are connected by a massless string through a pulley of mass M. The rotational inertia of the pulley is I = 1/2 MR2, with M = 0.3 kg and a radius R= 0.2 m. Block m2 is pulled by a horizontal force of 40 N. In; lies on a frictionless surface. ' a) Using symbols, write down the equations of motion of the masses and the pulley. (7 points) . .6) Obtain the linear acceleration of the masses. (9 points) 0) Calculate the forces of tension in the two sides of the pulley. (9 points) 1=§MRZ M:O.3\C3)\R: 0.2m 3. The system of objects displayed below is rotating in the horizontal plane with respect to a perpendicular axis located 0.2 m away from mass 1. The system is made of two small particles of equal mass m1=m2= 0.2 kg and of one rod of length L = 3 m and mass M = 0.5 kg. The system is rotating with an angular speed of 8 rad/s. [Led (COM) = ML2/12] (a) Calculate the total moment of inertia of the system with respect to the rotational axis shown in the ﬁgure below (12.5 points) (b) Calculate the rotational kinetic energy ( J 2.5 points) F l hm : ”‘1': m 4. Find the net torque on the wheel in the ﬁgure below about the axle through 0, taking a I 1 m and b = 3 m. The magnitudes of the forces acting on the wheel are: F] = 30 N, F2 =15 N, F3 =18 N (25p0ints) nml ...
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Midterm3_key - 1 Two balls approach each other head-on with...

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