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Circular Motion Centre Of Mass
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Two solid spheres are made of the samematerial.
The ratio of their diameters is 1 : 2. The ratio of their moments of inertia about their respective diameters is
1 : 32
1 : 4
1 : 1
1 : 16
A disc-like reel with massless thread unrolls itself while falling verticallydownwards.
The acceleration of its fall is
Zero
g / 2
G
2 / 3 g
A chain of 125 links is 1.25 m long and has a mass of 2 kg. With the ends fastened together, it is set rotating at 3000 rev/min.
The centripetal force on each link is
3.14 N
1 / 3.14 N
314 N
1 / 314 N
A nearly massless rod is pivoted at one end so that it can swing freely as apendulum.
Two masses 2m and m are attached to it at distance b and 3b respectively from thepivot.
The rod is held horizontal and thenreleased.
The angular acceleration of the rod at the instant it is released is
gb + 5
BG
b / g
5g / 11b
The masses of two uniform discs are in the ratio 1 : 2 and their diameters in the 2 : 1. The ratio of their moments of inertia about the axes passing through their respective centres and perpendicular to their planes is
2 : 1
1 : 1
1 : 4
1 : 2
A coin placed on a gramophone record rotating at 33 r. p. m. files off the record, if it is placed at a distance of more than 16 cm from the axis ofrotation.
If the record is revolving at 66 r. p. m., the coin will fly off if it is placed at a distance not less than
2 cm
3 cm
1 cm
4 cm
The string of a pendulum ishorizontal.
The mass of the bob attached to it is m. Now the string isreleased.
The tension in the string in the lowest position is
2mg
Mg
3mg
4mg
When a sphere rolls without slipping the ratio of kinetic energy of translation to its total kinetic energy is
1 : 7
1 : 2
5 : 7
1 : 1
A particle is projected so as to just move along a verticalcircle.
The ratio of the tensions in the string when the particle is at the lowest and highest point on the circle is
1
finite but large
Infinite
Zero
A rigid spherical body is spinning around an axis without any externaltorque.
Due to change in temperature, the volume increases by 1%. The angular speed will approximately
decrease by 0.67%
decrease by 0.33%
decrease by 1%
increase by 1%
The moment of inertia of uniform circular disc about a diameter is
I. Its moment of inertia about an axis perpendicular to its plane and passing through a point on its rim will be
2I
6I
4I
8I
If the angular momentum of a body increases by 50%, its kinetic energy of rotation increases by
100%
50%
125%
200%
A spherical ball rolls on a table withoutslipping.
Then the fraction of its total energy associated with rotation is
3 / 7
3 / 5
2 / 5
2 / 7
A child stands at the centre of a turn table with his two armsoutstretched.
The turntable is set rotating with an angular speed of 40 rev/min.
Now, the child folds his hands back and thereby reduces his moment of inertia to 2 / 5 times the initialvalue.
The new kinetic energy ofrotation.
The value of x is
1
2.5
6.756
5
Two wheels, each with four spokes, are mounted one behind the other and aligned such that an observer sees only fourspokes.
At t =0 minute, one wheel begins to spin at 5 revolutions/ minute and the other at 4 revolutions /minute.
Upto t = 1 minute, how many times the observer would see only four spokes
2
8
1
4
Radius of gyration of a body about an axis at a distance of 6 cm from its centre of mass is 10 cm, The radius of gyration about a parallel axis through its centre of mass is
12 cm
4 cm
2 cm
8 cm
A coin placed on a rotating turntable just slips if it is placed at a distance of 4 cm from thecenter.
If the angular velocity of the turntable is doubled, it will just slip at a distance of
1 cm
8 cm
4 cm
2 cm
A body rolls down an inclinedplane.
If its kinetic energy of rotational motion is 40% of its kinetic energy of translation, then the body is
solid disc
solid sphere
Ring
Cylinder
If the Earth shrinks to half of the present radius, without any change in mass, then the duration of day and night becomes
6 hours
12 hours
3 hours
24 hours
Which of the following is conserved when the torque acting on a system is zero
Linear momentum
Angular momentum
Angular K.E
K.E.
1
2
3
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