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Standard XII
Physics
Expression for Standing Waves
A uniform sol...
Question
A uniform solid cylinder of radius 1m is placed on the inner surface of cylinder of radius 11 m find the time period of the cylinder for small oscillations. The cylinder rolls purely
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Q.
A solid cylinder (radius
r
=
0.2
m
) rolls without slipping in a cylindrical trough (radius
R
=
0.8
m
). The time period of small oscillations is
[Take
g
=
10
m/s
2
]
Q.
A uniform solid cylinder of mass
m
and radius
R
is placed on a rough horizontal surface A horizontal constant force
F
is applied at the top point
P
of the cylinder so that it starts pure rolling. The frictional force on the cylinder is :
Q.
A solid cylinder (radius
r
=
0.2
m
) rolls without slipping in a cylindrical trough (radius
R
=
0.8
m
). The time period of small oscillations is
[Take
g
=
10
m/s
2
]
Q.
A small solid cylinder of mass
M
and radius
R
slides down a smooth curve from height
h
. It gets onto plank of mass
M
, which is resting on a smooth surface. If
μ
is coefficient of friction between cylinder and plank, the time at which that cylinder attains pure rolling on plank is found to be
v
0
x
μ
g
where
v
0
=
√
2
g
h
.
The value of
4
x
is
(Assume plank has sufficient length for cylinder to attain pure rolling)
Q.
A uniform solid circular cylinder of radius r is placed on a rough horizontal surface and given a linear velocity
v
=
2
ω
o
r
and angular velocity
ω
o
. The speed of the cylinder when it starts rolling :
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