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A uniform rod ofmass 1.4 kg is 11mlong.

A uniform rod ofmass 1.4 kg is 11mlong. The
rod is pivoted about a horizontal, frictionless
pin at the end of a thin extension (of negligible
mass) a distance 11 m from the center of
mass of the rod. Initially the rod makes an
angle of 58◦ with the horizontal. The rod is
released from rest at an angle of 58◦ with the
horizontal, as shown in the figure below
11 m
11 m
1.4 kg
O
58◦
What is the magnitude of the vertical reac-
tion force of the rod on the pivot at the instant
the rod is in a horizontal position? The accel-
eration of gravity is 9.8 m/s2 and the moment
of inertia of the rod about its center of mass
is
1
12
mℓ2.
Answer in units of N.

This question was asked on May 18, 2010.

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