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In the situation shown in the diagram, the system is in equilibrium. All the strings, spring and pulley are light. Just after cutting the string AB,

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Important Questions on Laws of Motion

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IMPORTANT
Match the following (Take the relative strength of the strongest fundamental forces in nature as one)
 
I II
Fundamental forces in nature Relative strength
(A) Strong nuclear force (e) 10-2
(B) Weak nuclear force (f) 1
(C) Electromagnetic force (h) 10-13
(D) Gravitational force (i) 10-39


The correct match is
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Let F, FN and f denote the magnitudes of the contact force, normal force and the frictional force exerted by one surface on the other kept in contact. If none of these is zero, then:
EASY
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IMPORTANT
A spring of force constant k is cut into two pieces such that one piece is double the length of the other. Then the long piece will have a force constant of
EASY
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IMPORTANT
In a situation, the contact force by a rough horizontal surface, on a body placed on it, has constant magnitude. If the angle between this force and the vertical is decreased, the frictional force between the surface and the body will
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IMPORTANT
A block of mass 5 kg and surface area 2 m2 just begins to slide down on an inclined plane, when the angle of inclination is 30°. Keeping the mass same, the surface area of the block is doubled. The angle at which it starts sliding down is
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A small block is shot into each of the four smooth tracks as shown below. Each of the tracks rises to the same height. The speed with which the block enters the tracks is the same in all cases. At the highest point to the track, the normal reaction is maximum in
EASY
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IMPORTANT
A car moving with the speed of 10 m s-1 takes a circular turn of radius 20 m. The magnitude of the acceleration of the car is:
EASY
Agniveer Vayu
IMPORTANT
An annular ring with inner and outer radii R1 and R2 is rolling without slipping with a uniform angular speed. The ratio of the forces experienced by the two particles situated on the inner and outer parts of the ring, F1F2 is: