it should be 31 on this link http://gpschools.schoolwires.net/cms/lib05/MI010009

Question

it should be 31 on this link

http://gpschools.schoolwires.net/cms/lib05/MI01000971/Centricity/Domain/272/Sample_Exam_2.1.pdf

Two masses, each 2 kg, are attached to a uniform one meter long rigid rod of negligible mass. The rod is free to rotate about an axis 0 through the center of the rod perpendicular to the plane of the paper as shown below (in the link). When the rod is in the horizontal position, 0.4 kg of putty is dropped on the mass to the right with a speed v= 3.3m/s, and sticks to it.

The angular velocity of the masses just after putty hits the mass to the right would be

a) 3.0 rad/sec

b) 0.6 rad/sec

c) 0.3 rad/sec (Not the answer)

d) 0.15 rad/sec

e) 0.08 rad/sec

Please show work. Thanks

Explanation / Answer

here,

mass , m = 2 kg

m1 = 0.4 kg

length of rod , l = 1 m

using conservation of angular momentum

(2 * m * (l/2)^2 + m1 * ( l/2)^2 ) * w = m1 * v * (l/2)

(2 * 2 * 0.5 + 0.4 * 0.5) * w = 0.4 * 3.3

w = 0.6 rad/s

the angular speed is b) 0.6 rad/s

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