# 26. A point object of mass m is connected to

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26.
A point object of mass m is connected to a cylinder of radius R via a massless
rope. At time t = 0, the object is moving with an initial velocity vo perpendicular to
the rope, the rope has a length Lo, and the rope has a non-zero tension. All motion
occurs on a horizontal frictionless surface. The cylinder remains stationary on the
surface and does not rotate. The object moves in such a way that the rope slowly
winds up around the cylinder. The rope will break when the tension exceeds T.
Express your answer in terms of Tmax Lo, R, and v,. Mark the INCORRECT
statement(s):
L.
R
1) Magnitude of angular momentum of the object with respect to the axis of the
cylinder at the instant that the rope breaks is
m’v
max
mv
2) Kinetic energy of the object at the instant when the rope breaks is
2
Vhen tension is T
max
The length of the rope (not yet wound) is L, - TR
4) When tension is T
the length of the rope (not yet wound) is
T.
mv
max
max