This preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: 1. Two balls approach each other headon 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 ...
View
Full Document
 Spring '08
 SAHA
 Physics

Click to edit the document details