A solid cylinder and a hollow cylinder, both of the same mass and same external diameter are released from the same height at the same time on an inclined plane. Both roll down without slipping. Which one will reach the bottom first?
A
Both together only when angle of inclination of plane is 45o
B
Both together
C
Hollow cylinder
D
Solid cylinder
2
AIPMT 2010 Mains
MCQ (Single Correct Answer)
+4
-1
A thin circular ring of mass M and radius r is rotating about its axis with constant angular velocity $$\omega $$. Two objects each of msass m are attached gently to the opposite ends of a diameter of the ring. The ring now rotates with angular velocity given by
A
$${{\left( {M + 2m} \right)\omega } \over {2m}}$$
B
$${{2M\omega } \over {M + 2m}}$$
C
$${{\left( {M + 2m} \right)\omega } \over M}$$
D
$${{M\omega } \over {M + 2m}}$$
3
AIPMT 2010 Mains
MCQ (Single Correct Answer)
+4
-1
The dependence of acceleration due to gravity g on the distance r from the centre of the earth, assumed to be a sphere of radius R of uniform density is as shown in figures below
The correct figure is
A
(4)
B
(1)
C
(2)
D
(3)
4
AIPMT 2010 Mains
MCQ (Single Correct Answer)
+4
-1
(1) Centre of gravity (C.G) of a body is the point at which the weight of the body acts
(2) Centre of mass coincides with the centre of gravity if the earth is assumed to have infinitely large radius.
(3) To evaluate the gravitational field intensity due to any body at an external point, the entire mass of the body can be considered to be concentrated at its C.G.
(4) The radius of gyration of any body rotating about an axis is the length of the perpendicular dropped from the C.G. of the body to the axis.
Which one of the following pairs of statements is correct ?
