Two spheres A and B of masses m1 and m2 respectively collide. A is at rest initially and B is moving with velocity v along x-axis. After collision B has a velocity v2 in a direction perpendicular to the original direction.The mass A moves after collision in the direction

(a)same as that of B

(b)opposite to that of B

(c)θ=tan-112to the xaxis

(d)θ=tan-1-12to the xaxis

Concept Questions :-

Linear momentum
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The moment of inertia of a uniform circular

disc is maximum about an axis perpendicular

to the disc and passing through

(a) B                    (b) C

(c) D                    (d) A

Concept Questions :-

Moment of inertia
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Three masses are placed on the x-axis:

300 g at origin, 500 g at x= 40 cm and 400g

at x=70 cm. The distance of the center of

mass from the origin is 

(a) 40 cm                   (b) 45 cm

(c) 50 cm                   (d) 30 cm 

Concept Questions :-

Center of mass
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The instantaneous angular position of a point on

a rotating wheel is given by the equation

θ(t)=2t3-6t2

The torque on the wheel becomes zero at

(a) t=0.5 s

(b) t=0.25 s

(c) t=2 s

(d) t=1 s

Concept Questions :-

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The moment of inertia of a thin uniform rod of 

mass M and length L about an axis passing

through its mid-point and perpendicular to its

length is I0. Its moment of inertia about an 

axis passing through one of its ends and

perpendicular to its length is

(a) I0+ML2/4

(b) I0+2ML2

(c) I0+ML2

(d) I0+ML2/2

Concept Questions :-

Moment of inertia
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A body of mass M hits normally a rigid wall with velocity v and bounces back with the same velocity. The impulse experienced by the body is

(a) 1.5 Mv                                                 (b) 2 Mv

(c) zero                                                     (d) Mv

Concept Questions :-

Linear momentum
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A mass m moving horizontally (along the x-axis) with velocity v collides and sticks to mass of 3m moving vertically upward (along the y-axis) with velocity 2v. The final velocity of the combination is

(a) 14vi^+32vj^                                   (b) 13vi^+23vj^

(c) 23vi^+13vj^                                    (d) 32vi^+14vj^

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A circular disk of moment of inertia It is rotating in a horizontal plane, about its symmetry axis, with a constant angular speed ωi. Another disk of moment of inertia Ib is dropped coaxially onto the rotation disk. Initially the second disk has zero angular speed. Eventually both the disks rotate with a constant angular speed ωf. The energy lost by the initially rotating disc to friction is 

(a)12Ib2It+Ibωi2                                     (b)12It2It+Ibωi2

(c)12Ib-ItIt+Ibωi2                                     (d)12IbItIt+Ibωi2

Concept Questions :-

Angular momentum
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Two particles which are initially at rest, move towards each other under the action of their mutual attraction.If their speeds are v and 2v at any instant, then the speed of centre of mass of the system will be 

1. 2v                                             2. 0

3. 1.5v                                          4. v

Concept Questions :-

Center of mass
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A man of 50 kg mass is standing in a gravity free space at a height of 10m above the floor. He throws a stone of 0.5 kg mass downwards with a speed 2 ms-1. When the stone reaches the floor, the distance of the man above the floor will be 

(a) 9.9m                                 (b) 10.1m

(c) 10m                                  (d) 20m                       

Concept Questions :-

Center of mass
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