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Laws of Motion ...

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  • Question 1
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    Figure shows overhead views of three structure, on which three forcess act.The direction of the forces are as indivcated .If the magnitude of the forces are adjusted properly ,which structure can be in stable equilibrium

  • Question 2
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    A bob of mass $$m$$ is attached at one end of a string of length $$\iota $$. Other end of the string is fixed point $$O$$. Bob is rotating in circular path of radius $$\iota $$ in horizontal plane about $$O$$ with constant speed $$v$$, as shown in the figure. The average force exerted by string on the bob during its:

  • Question 3
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    A ball of mass m is released from the top of an inclined plane of inclination $$\theta$$ as shown. It strikes a rigid surface at a distance $$\dfrac{3l}{4}$$ from top elasticity. Impulse imparted to ball by the rigid surface is:

  • Question 4
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    Directions For Questions

    The following problems illustrate the effect of a time-dependent force of a large average magnitude which acts on a moving object only for a short duration. Such forces are called 'impulsive' forces. According to the impulse-momentum theorem, impulse delivered to a body is equal to the change of linear momentum of the body.
    A ball of mass $$250 g$$ is thrown with a speed of 30 m/s. The ball strikes a bat and is hit straight back along the same line at a speed of 50 m/s. Variation of the interaction force, as long as the ball remains in contact with the bat, is as shown in Fig.

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    Average force exerted by the ball on the ball is 

  • Question 5
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    Three point charges, each $$+q$$ are placed at the vertices of an equilateral triangle. What charge should be placed at its centroid so that all four charges are in equilibrium?

  • Question 6
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    Two free positive charges $$4q$$ and $$q$$ are a distance $$l$$ apart. What charges $$Q$$ is needed to achieve equilibrium for the entire system and where should it be placed from charge $$q$$ ?

  • Question 7
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    A cubical bolck of wood of edge 10 cm and mass 0.92 kg floats on a tank of water with oil of relative density 0.6 to a depth of 4 cm above water.When the block attains equilibrium with four of its sides edges vertical:

  • Question 8
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    A $$10$$ gm bullet is fired from a rifle horizontally into a $$5$$ kg block of wood suspended by a string and the bullet gets embedded in the block. The impact causes the block to switch to an a height of $$2.5$$ cm above its initial level. The velocity of the bullet is

  • Question 9
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    In the arrangement shown in figure, 5 kg block is placed on a rough table $$(\mu  = 0.4)$$ and a 3 kg mass is connected at one end, then the range of mass m, for which the system will remain in equilibrium is

  • Question 10
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    A car mass 1000 kg negotiates a banked curve of radius 90 m on a frictionless road. if the banking angle is $${ 45 }^{ o }$$, the speed of the car is :-

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