1
AIPMT 2003
+4
-1
A stone is tied to a string of length $$l$$ and is whirled in a vertical circle with the other end of the string as the centre. At a certain instant of time, the stone is at its lowest position and has a speed u. The magnitude of the change in velocity as it reaches a position where the string is horizontal (g being acceleration due to gravity) is
A
$$\sqrt {2\left( {{\mu ^2} - gl} \right)}$$
B
$$\sqrt {{u^2} - gl}$$
C
$$u - \sqrt {{u^2} - 2gl}$$
D
$$\sqrt {2gl}$$
2
AIPMT 2003
+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
$$\sqrt {4gh}$$
3
AIPMT 2003
+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
$${{\left( {M - 4m} \right)\omega } \over {M + 4m}}$$
4
AIPMT 2002
+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
$$\sqrt {{\pi ^2} + 2} \,m$$
EXAM MAP
Medical
NEET