1

JEE Advanced 2016 Paper 2 Offline

MCQ (Single Correct Answer)

+3

-0

A frame of the reference that is accelerated with respect to an inertial frame of reference is called a non-inertial frame of reference. A coordinate system fixed on a circular disc rotating about a fixed axis with a constant angular velocity $$\omega$$ is an example of a non-inertial frame of reference. The relationship between the force $$\overrightarrow F $$

$$\overrightarrow F $$

where, v

Now, consider a smooth slot along a diameter of a disc of radius R rotating counter-clockwise with a constant angular speed $$\omega$$ about its vertical axis through its centre. We assign a coordinate system with the origin at the centre of the disc, the X-axis along the slot, the Y-axis perpendicular to the slot and the Z-axis along the rotation axis ($$\omega$$ = $$\omega$$ $$\widehat k$$). A small block of mass m is gently placed in the slot at r = (R/2)$$\widehat i$$ at t = 0 and is constrained to move only along the slot.

The distance r of the block at time t is

_{rot}experienced by a particle of mass m moving on the rotating disc and the force $$\overrightarrow F $$_{in}experienced by the particle in an inertial frame of reference is,$$\overrightarrow F $$

_{rot}= $$\overrightarrow F $$_{in}+ 2m ($$\overrightarrow v $$_{rot}$$\times$$ $$\overrightarrow \omega $$) + m ($$\overrightarrow \omega $$ $$\times$$ $$\overrightarrow r $$) $$\times$$ $$\overrightarrow \omega $$,where, v

_{rot}is the velocity of the particle in the rotating frame of reference and r is the position vector of the particle with respect to the centre of the disc.Now, consider a smooth slot along a diameter of a disc of radius R rotating counter-clockwise with a constant angular speed $$\omega$$ about its vertical axis through its centre. We assign a coordinate system with the origin at the centre of the disc, the X-axis along the slot, the Y-axis perpendicular to the slot and the Z-axis along the rotation axis ($$\omega$$ = $$\omega$$ $$\widehat k$$). A small block of mass m is gently placed in the slot at r = (R/2)$$\widehat i$$ at t = 0 and is constrained to move only along the slot.

The distance r of the block at time t is

2

JEE Advanced 2016 Paper 2 Offline

MCQ (Single Correct Answer)

+3

-0

A frame of the reference that is accelerated with respect to an inertial frame of reference is called a non-inertial frame of reference. A coordinate system fixed on a circular disc rotating about a fixed axis with a constant angular velocity $$\omega$$ is an example of a non-inertial frame of reference. The relationship between the force $$\overrightarrow F $$

$$\overrightarrow F $$

where, v

Now, consider a smooth slot along a diameter of a disc of radius R rotating counter-clockwise with a constant angular speed $$\omega$$ about its vertical axis through its centre. We assign a coordinate system with the origin at the centre of the disc, the X-axis along the slot, the Y-axis perpendicular to the slot and the Z-axis along the rotation axis ($$\omega$$ = $$\omega$$ $$\widehat k$$). A small block of mass m is gently placed in the slot at r = (R/2)$$\widehat i$$ at t = 0 and is constrained to move only along the slot.

The net reaction of the disc on the block is

_{rot}experienced by a particle of mass m moving on the rotating disc and the force $$\overrightarrow F $$_{in}experienced by the particle in an inertial frame of reference is,$$\overrightarrow F $$

_{rot}= $$\overrightarrow F $$_{in}+ 2m ($$\overrightarrow v $$_{rot}$$\times$$ $$\overrightarrow \omega $$) + m ($$\overrightarrow \omega $$ $$\times$$ $$\overrightarrow r $$) $$\times$$ $$\overrightarrow \omega $$,where, v

_{rot}is the velocity of the particle in the rotating frame of reference and r is the position vector of the particle with respect to the centre of the disc.Now, consider a smooth slot along a diameter of a disc of radius R rotating counter-clockwise with a constant angular speed $$\omega$$ about its vertical axis through its centre. We assign a coordinate system with the origin at the centre of the disc, the X-axis along the slot, the Y-axis perpendicular to the slot and the Z-axis along the rotation axis ($$\omega$$ = $$\omega$$ $$\widehat k$$). A small block of mass m is gently placed in the slot at r = (R/2)$$\widehat i$$ at t = 0 and is constrained to move only along the slot.

The net reaction of the disc on the block is

3

JEE Advanced 2016 Paper 1 Offline

MCQ (Single Correct Answer)

+3

-1

A uniform wooden stick of mass 1.6 kg and length $$l$$ rests in an inclined manner on a smooth, vertical wall
of height h ( < $$l$$ ) such that a small portion of the stick extends beyond the wall. The reaction force of the
wall on the stick is perpendicular to the stick. The stick makes an angle of $$30^\circ $$ with the wall and the bottom of the stick is on a rough floor. The reaction of the wall on the stick is equal in magnitude to the reaction of the floor on the stick. The ratio $${h \over l}$$ and the frictional force f at the bottom of the stick are ( g =10 ms

^{-2})4

IIT-JEE 2012 Paper 2 Offline

MCQ (Single Correct Answer)

+3

-0.75

Two identical discs of same radius R are rotating about their axes in
opposite directions with the same constant angular speed $$\omega $$. The
discs are in the same horizontal plane. At time t = 0, the points P
and Q are facing each other as shown in the figure. The relative
speed between the two points P and Q is v

_{r}. In one time period (T) of rotation of the discs, v_{r}as a function of time is best represented byQuestions Asked from Rotational Motion (MCQ (Single Correct Answer))

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