#1276) Answer - v = vo / 3 in direction of BC w = vo / (2d) 1276 Masses A and B,
ID: 1509024 • Letter: #
Question
#1276) Answer -v = vo / 3 in direction of BC w = vo / (2d)
1276 Masses A and B, each mass m, are Joined by a massless rod of length d, and the system lies on a frictionless, horizontal plane. along aline a line Particle c, also of mass m, approaches B with velocity perpendicular to AB, and collides with and sticks to B. All masses may be treated as points. Describe the motion of the system after collision specifically, find the velocity of the CM of the system of 3 masses, and the angular velocity. Through what point does the system have a fixed or instantaneous axis of rotation, if any, after the collision ?
Explanation / Answer
mv0 = 3m * vcm
vcm = v0/3
com
2m*x =m*(d-x)
x =d/3
calculating angular velocity
L =Iw
I = 2m^(d/3)^2 +m* (2d/3)^2
I = 6md^2/9
Iw = m*v0 * d/2
w = (3/4)*(v0/d)
the com only have the linear motion. and it was calculated before
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