IIT-JEE 2012 Paper 2 Offline

MCQ (More than One Correct Answer)

-1

The figure shows a system consisting of (i) a ring of outer radius 3R rolling clockwise without slipping on a horizontal surface with angular speed $$\omega $$ and (ii) an inner disc of radius 2R rotating anti-clockwise with angular speed $${\omega \over 2}$$. The ring and disc are separated by frictionless ball bearings. The point P on the inner disc is at a distance R from the origin, where OP makes an angle of $$30^\circ $$ with the horizontal. Then with respect to the horizontal surface,
IIT-JEE 2012 Paper 2 Offline Physics - Rotational Motion Question 54 English

IIT-JEE 2012 Paper 2 Offline Physics - Rotational Motion Question 54 English

the point O has linear velocity $$3R\omega \widehat i$$

the point P has linear velocity $${{11} \over 4}R\omega \widehat i + {{\sqrt 3 } \over 4}R\omega \widehat k$$

the point P has linear velocity $${{13} \over 4}R\omega \widehat i - {{\sqrt 3 } \over 4}R\omega \widehat k$$

the point P has linear velocity $$\left( {3 - {{\sqrt 3 } \over 4}} \right)R\omega \widehat i + {1 \over 4}R\omega \widehat k$$

IIT-JEE 2011 Paper 1 Offline

MCQ (More than One Correct Answer)

-2

A metal rod of length L and mass m is pivoted at one end. A thin disk of mass M and radius R ( < L) is attached at its centre to the free end of the rod. Consider two ways the disc is attached : (case A). The disc is not free to rotate about its centre and (case B) the disc is free to rotate about its centre. The rod-disc system performs SHM in vertical plane after being released from the same displaced position. Which of the following statement(s) is(are) true?

IIT-JEE 2011 Paper 1 Offline Physics - Rotational Motion Question 22 English

Restoring torque in case A = Restoring torque in case B.

Restoring torque in case A < Restoring torque in case B.

Angular frequency for case A > Angular frequency for case B.

Angular frequency for case A < Angular frequency for case B.

IIT-JEE 2009 Paper 2 Offline

MCQ (More than One Correct Answer)

-2

A sphere is rolling without slipping on a fixed horizontal plane surface. In the figure below, A is the point of contact, B is the centre of the sphere and C is its topmost point. Then,

IIT-JEE 2009 Paper 2 Offline Physics - Rotational Motion Question 16 English

$${\overrightarrow V _C} - {\overrightarrow V _A} = 2({\overrightarrow V _B} - {\overrightarrow V _C})$$

$${\overrightarrow V _C} - {\overrightarrow V _B} = {\overrightarrow V _B} - {\overrightarrow V _A}$$

$$|{\overrightarrow V _C} - {\overrightarrow V _A}| = 2|{\overrightarrow V _B} - {\overrightarrow V _C}|$$

$$|{\overrightarrow V _C} - {\overrightarrow V _A}| = 4|{\overrightarrow V _B}|$$

IIT-JEE 2009 Paper 1 Offline

MCQ (More than One Correct Answer)

-2

If the resultant of all the external forces acting on a system of particles is zero, then from an inertial frame, one can surely say that

Linear momentum of the system does not change in time.

Kinetic energy of the system does not change in time.

Angular momentum of the system does not change in time.

Potential energy of the system does not change in time.

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