06%20-%20Rotational%20Motion

06%20-%20Rotational%20Motion - 06 - ROTATIONAL MOTION Page...

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06 - ROTATIONAL MOTION Page 1 ( Answers at the end of all questions ) 1 ) A body A of mass M while falling vertically downwards under gravity breaks into two parts, a body B of mass ( 1 / 3 ) M and a body C of mass ( 2 / 3 ) M. The centre of mass of bodies B and C taken together shifts compared to body A towards ( a ) does not shift ( b ) depends on height of breaking ( c ) body B ( d ) body C [ AIEEE 2005 ] 2 ) The moment of inertia of a uniform semicircular disc of mass M and radius r about a line perpendicular to the plane of the disc through the centre is ( a ) ( 2 / 5 ) Mr 2 ( b ) ( 1 / 4 ) Mr 2 ( c ) ( 1 / 2 ) Mr 2 ( d ) Mr 2 [ AIEEE 2005 ] 3 ) A ‘T’ shaped object with dimensions shown in the figure, is lying on a smooth floor. A force F ’ is applied at the point P parallel to AB, such that the object has only translational motion without rotation. Find the location of P with respect to C. ( a ) ( 3 / 2 ) l ( b ) ( 2 / 3 ) l ( c ) l ( d ) ( 4 / 3 ) l [ AIEEE 2005 ] 4 ) A solid sphere is rotating in free space. If the radius of the sphere is increased keeping mass same, which one of the following will not be affected ? ( a ) Moment of inertia ( b ) Angular momentum ( c ) Angular velocity ( d ) Rotational kinetic energy [ AIEEE 2004 ] 5 ) One solid sphere A and another hollow sphere B are of same mass and same outer radii. Their moment of inertia about their diameters are respectively Ι A and Ι B such that ( a ) Ι A = Ι B ( b ) Ι A > Ι B ( c ) Ι A < Ι B ( d ) Ι A / Ι B = d A / d B [ AIEEE 2004 ] 6 ) A particle performing uniform circular motion has angular momentum L. If its angular frequency is doubled and its kinetic energy halved, then the new angular momentum is ( a ) L / 2 ( b ) L / 4 ( c ) 2 L ( d ) 4 L [ AIEEE 2003 ] 7 ) Let F be the force acting on a particle having position vector r , and τ be the torque of this force about the origin. Then ( a ) τ . r = 0 and τ . F = 0 ( b ) τ . r = 0 and τ . F 0 ( c ) τ . r 0 and τ . F = 0 ( d ) τ . r 0 and τ . F 0 [ AIEEE 2003 ] 8 ) A circular disc X of radius R is made from an iron plate of thickness t, and another disc Y of radius 4R is made from an iron plate of thickness t / 4. The relation between the moments of inertia Ι x and Ι y is ( a ) Ι y = 64 Ι x ( b ) Ι y = 32 Ι x ( c ) Ι y = 16 Ι x ( d ) Ι y = Ι x [ AIEEE 2003 ] 9 ) The moment of inertia of a rigid body depends upon ( a ) mass of the body ( b ) angular acceleration of the body ( c ) angular velocity of the body ( d ) distribution of mass from the axis of rotation [ AIEEE 2002 ]
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06 - ROTATIONAL MOTION Page 2 ( Answers at the end of all questions ) 10 ) If moment of inertia of a wheel, having radius of gyration 60 cm, is 360 kg-m 2 , then mass of the wheel is ( a ) 200 kg ( b ) 500 kg ( c ) 800 kg ( d ) 1000 kg [ AIEEE 2002 ] 11 ) A particle moves on a circular path with decreasing speed. Choose the correct
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06%20-%20Rotational%20Motion - 06 - ROTATIONAL MOTION Page...

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