Grade 9 Exam > Grade 9 Tests > Test: Rotational Motion - 2 - Grade 9 MCQ
Test: Rotational Motion - 2 - Grade 9 MCQ
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15 Questions MCQ Test - Test: Rotational Motion - 2
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Test: Rotational Motion - 2 - Question 1
The radius of gyration 
of a hollow sphere of mass 
and radius 
about a certain axis is equal to 
. Find the distance of that axis from the centre of the sphere.
of a hollow sphere of mass and radius about a certain axis is equal to . Find the distance of that axis from the centre of the sphere.
Detailed Solution for Test: Rotational Motion - 2 - Question 1
Test: Rotational Motion - 2 - Question 2
A wheel having angular momentum 
about its vertical axis, rotates at the rate of 
about this axis, The torque which can stop the wheel's rotation in 30 sec would be
about its vertical axis, rotates at the rate of about this axis, The torque which can stop the wheel's rotation in 30 sec would be
Detailed Solution for Test: Rotational Motion - 2 - Question 2
Test: Rotational Motion - 2 - Question 3
A force 
is applied to an object that is pivoted about a fixed axle aligned along the z-coordinate axis. If the force is applied at the point 
then the magnitude of the net torque about the z-axis is
Detailed Solution for Test: Rotational Motion - 2 - Question 3
Detailed Solution for Test: Rotational Motion - 2 - Question 4
Test: Rotational Motion - 2 - Question 5
A wooden cube is placed on a rough horizontal table, a force is applied to the cube. Gradually the force is increased. Whether the cube slides before toppling or topples before sliding is independent of :
Detailed Solution for Test: Rotational Motion - 2 - Question 5
or 
Test: Rotational Motion - 2 - Question 6
A ball rolls without slipping. The radius of gyration of the ball about an axis passing through its centre of mass is 
. If radius of the ball be 
, then the fraction of total energy associated with its rotational energy will be
. If radius of the ball be , then the fraction of total energy associated with its rotational energy will be
Detailed Solution for Test: Rotational Motion - 2 - Question 6
Test: Rotational Motion - 2 - Question 7
A uniform rod of length 
is free to rotate in a vertical plane about a fixed horizontal axis through 
. The rod begins rotating from rest from its unstable equilibrium position. When it has turned through an angle 
, its angular velocity
is given as
is free to rotate in a vertical plane about a fixed horizontal axis through . The rod begins rotating from rest from its unstable equilibrium position. When it has turned through an angle , its angular velocity is given as
Detailed Solution for Test: Rotational Motion - 2 - Question 7
Loss of potential energy
Test: Rotational Motion - 2 - Question 8
A rod 
of mass 
and length 
is hinged 
end P. The rod is kept horizontal by a massless string tied to point 
as shown in figure. When string is cut, the initial angular acceleration of the rod is
Detailed Solution for Test: Rotational Motion - 2 - Question 8
Test: Rotational Motion - 2 - Question 9
A solid sphere of mass 
rolls on a smooth horizontal surface at 
. It then rolls up a smooth inclined plane of inclination 
with the horizontal. Then what is the height (in meter) attained by the sphere before it stops ?
rolls on a smooth horizontal surface at . It then rolls up a smooth inclined plane of inclination with the horizontal. Then what is the height (in meter) attained by the sphere before it stops ?
Detailed Solution for Test: Rotational Motion - 2 - Question 9
is the radius of gyration. So from law of conservation of energy,
is the height attained by the sphere.
.
Test: Rotational Motion - 2 - Question 10
A wheel of radius 
wheel 
is attached by non-stretching belt to a wheel of radius 
(wheel 
). The belt does not slip. By the time wheel 
turns through 1 revolution, wheel 
will rotate through
wheel is attached by non-stretching belt to a wheel of radius (wheel ). The belt does not slip. By the time wheel turns through 1 revolution, wheel will rotate through
Detailed Solution for Test: Rotational Motion - 2 - Question 10
Angular speeds of wheels 
Test: Rotational Motion - 2 - Question 11
Two identical discs of mass 
and radius 
are arranged as shown in the figure. If 
is the angular acceleration of the lower disc and 
is acceleration of centre of mass of the lower disc, then relation between 
and 
is
and radius are arranged as shown in the figure. If is the angular acceleration of the lower disc and is acceleration of centre of mass of the lower disc, then relation between and is
Detailed Solution for Test: Rotational Motion - 2 - Question 11
Tr 
acceleration of point a 
Test: Rotational Motion - 2 - Question 12
A wheel of radius 
rolls forward half a revolution on a horizontal ground. The magnitude of the displacement of the point of the wheel initially in contact with the ground is
Detailed Solution for Test: Rotational Motion - 2 - Question 12
Point 
after half revolution reaches at 
vertically 
above the ground.
Displacement 
Test: Rotational Motion - 2 - Question 13
Acertain bicycle can go up a gentle incline with constant speed when the frictional force of ground pushing the rear wheel is 
. With what force 
(in newton) must the chain pull on Horizontal
the sprocket wheel if
and 
. With what force (in newton) must the chain pull on Horizontalthe sprocket wheel if
and
Detailed Solution for Test: Rotational Motion - 2 - Question 13
given 
Test: Rotational Motion - 2 - Question 14
The radius of gyration 
of a hollow sphere of mass 
and radius 
about a certain axis is equal to 
. Find the distance of that axis from the centre of the sphere.
Detailed Solution for Test: Rotational Motion - 2 - Question 14
Test: Rotational Motion - 2 - Question 15
and 
are moving in circular orbits with angular velocity 
and 
respectively. Their positions are as shown at 
. Find the time when they will meet for the first time.
Detailed Solution for Test: Rotational Motion - 2 - Question 15
and 
being integer. Case 
When they rotate in opposite sense 
and 
integer.
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