1
AIPMT 2003
MCQ (Single Correct Answer)
+4
-1
A solid cylinder of mass M and radius R rolls without slipping down an inclined plane of length L and height h. What is the speed of its centre of mass when the cylinder reaches its bottom ?
A
$$\sqrt {2gh} $$
B
$$\sqrt {{3 \over 4}gh} $$
C
$$\sqrt {{4 \over 3}gh} $$
D
$$\sqrt {4gh} $$
2
AIPMT 2003
MCQ (Single Correct Answer)
+4
-1
A thin circular ring of mass M and radius r is rotating about its axis with a constant angular velocity $$\omega $$. Four objects each of mass m, are kept gently to the opposite ends of two perpendicular diameters of the ring. The angular velocity of the ring will be :
A
$${{M\omega } \over {4m}}$$
B
$${{M\omega } \over {M + 4m}}$$
C
$${{\left( {M + 4m} \right)\omega } \over M}$$
D
$${{\left( {M - 4m} \right)\omega } \over {M + 4m}}$$
3
AIPMT 2002
MCQ (Single Correct Answer)
+4
-1
A point P consider at contact point of a wheel on ground which rolls on ground without slipping then value of displacement of point P when wheel completes half of rotation (if radius of wheel is 1 m)
A
2 m
B
$$\sqrt {{\pi ^2} + 4} m$$
C
$$\pi \,m$$
D
$$\sqrt {{\pi ^2} + 2} \,m$$
4
AIPMT 2002
MCQ (Single Correct Answer)
+4
-1
A circular disc is to be made by using iron and aluminium so that it acquired maximum moment of inertia about geometrical axis. It is possible with
A
aluminium at interior and iron surround to it
B
iron at interior and aluminium surround to it
C
using iron and aluminium layers in alternate order
D
sheet of iron is used at both external surface and aluminium sheet as internal layers.
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