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Byju's Answer
Standard XII
Physics
Young's Modulus of Elasticity
A uniform rod...
Question
A uniform rod AB of mass m and length 2a is falling freely without rotation under gravity with AB horizontal. Suddenly the end A is fixed when speed of the rod is v. The angular speed with which the rod begins to rotate is
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Q.
A uniform rod AB of mass
m
and length
2
a
is falling freely without rotation under gravity with AB horizontal. Suddenly the end A is fixed when the speed of the rod is
v
. The angular speed with which the rod begins to rotate is
Q.
A uniform rod AB of length
l
is rotating with an angular velocity
ω
while its centre moves with a linear velocity
v
=
ω
l
6
. If the end A of the rod is suddenly fixed, the angular velocity of the rod will be:
Q.
A uniform rod of length
L
and mass
M
is held vertical with its bottom end pivoted to the floor. The rod falls under gravity, freely turning about the pivot. If acceleration due to gravity is
g
, what is the instantaneous angular speed of the rod when it makes an angle
60
o
with the vertical
Q.
A homogeneous rod
X
Y
of length
L
and mass
M
is pivoted at the centre
C
such that it can rotate freely in the vertical plane. Initially, the rod is in the horizontal position. A blob of wax of same mass
M
as that of the rod falls vertically with the speed
V
and sticks to the rod midway between points
C
and
Y
. If the rod rotates
with angular speed
ω
what will be angular speed in terms of
V
and
L
?
Q.
A uniform thin rod
A
B
is equipped at both ends with the hooks shown and is supported by a frictionless horizontal table. Initially the rod is hooked at
A
to a fixed pin
C
about which it rotates with a constant angular velocity
ω
1
. Suddenly end
B
of the rod hits pin
D
and gets hooked to pin
D
, causing end
A
to be released. Determine the magnitude of the angular velocity
ω
2
of the rod in its subsequent rotation about
D
. (Assume length and mass of the hook is negligible. Pin
C
&
D
are lying on a same horizontal line)
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