AIPMT 2010 Mains | Rotational Motion Question 51 | Physics

AIPMT 2010 Mains

MCQ (Single Correct Answer)

-1

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?

Both together only when angle of inclination of plane is 45^o

Both together

Hollow cylinder

Solid cylinder

AIPMT 2010 Mains

MCQ (Single Correct Answer)

-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

$${{\left( {M + 2m} \right)\omega } \over {2m}}$$

$${{2M\omega } \over {M + 2m}}$$

$${{\left( {M + 2m} \right)\omega } \over M}$$

$${{M\omega } \over {M + 2m}}$$

AIPMT 2010 Prelims

MCQ (Single Correct Answer)

-1

A circular disk of moment of inertia $${I_t}$$ is rotating in a horizontal plane, about its symmetry axis, with a constant angular speed $${\omega _i}$$. Another disk of moment of inertia $${I_b}$$ is dropped coaxially onto the rotating disk. Initially the second disk has zero angular speed. Eventually both the disks rotate with a constant angular speed $$\omega $$. The energy lost by the initially rotating disc to friction is

$${1 \over 2}{{I_b^2} \over {\left( {{I_t} + {I_b}} \right)}}\omega _i^2$$

$${1 \over 2}{{I_t^2} \over {\left( {{I_t} + {I_b}} \right)}}\omega _i^2$$

$${{{I_b} - {I_t}} \over {\left( {{I_t} + {I_b}} \right)}}\omega _i^2$$

$${1 \over 2}{{{I_b}{I_t}} \over {\left( {{I_t} + {I_b}} \right)}}\omega _i^2$$

AIPMT 2010 Prelims

MCQ (Single Correct Answer)

-1

A gramophone record is revolving with an angular velocity $$\omega $$. A coin is placed at a distance r from the centre of the record. The static coefficient of friction is $$\mu $$. The coin will revolve with the record if

r = $$\mu $$g$$\omega $$²

r < $${{{\omega ^2}} \over {\mu g}}$$

$$r \le {{\mu g} \over {{\omega ^2}}}$$

$$r \ge {{\mu g} \over {{\omega ^2}}}$$

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