Classical Dynamics of Particles and Systems (5th Edition)

Chapter 9

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  ; In this figure is the radius of the inner ... more

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; Center of mass is nothing but a point where all... more

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  ; According to the given condition, diagram is ... more

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  ; Consider an elementary length on the cord and... more

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Consider a system of particles and define the ... more

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; According to Newton's first law, a body that is... more

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; The diagram represents the position of the ... more

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; Triangle is symmetrically distributed about the... more

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;;;; ; Kinetic energy is the energy that a body ... more

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; Here, is the initial velocity of the object ... more

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The second term of the given equation is , where ... more

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The total force on the system of particles is . ... more

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While deriving the mentioned equations, it is ... more

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; ; Consider be the linear mass density of the ... more

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According to the diagram given in the example, the... more

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; Make a diagram to understand the problem.... more

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; Consider to be the linear mass density of the ... more

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0.59 s ; The above diagram represents a cable of ... more

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; For the isolated system, momentum is conserved... more

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,  ; The diagram represents the system as per the ... more

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A good moderator element must slow down particle N... more

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 The value of is not zero because and are not ... more

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Initially, the particle is moving in the ... more

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 Taking the negative sign in the numerator of the ... more

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The relation between the angle of deflection of a ... more

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The relation between the angle of deflection of a ... more

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  ; Since the particles undergoing a collision ... more

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The relation between the ratio of final and ... more

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  ; The above figure represents a sphere of ... more

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‘+’ sign is used when and ‘-’ sign is used when... more

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Draw the vector geometry and notations of an ... more

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; Consider an object of mass striking a ... more

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4.3 m/s ; Consider a particle of mass striking a ... more

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  ;  The motion and collision is illustrated below... more

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  ;  The situation is illustrated below.The total ... more

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In every frame of reference, the number of ... more

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; The figure represents the geometry of ... more

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In every frame of reference, the number of recoil ... more

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; The Rutherford scattering formula is given by ... more

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The obtained equation is the same as the mentioned... more

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The given force equation is . Thus the potential ... more

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; Consider the above diagram, as particle N is ... more

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The equation for the number of particles scattered... more

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; Consider at time , the mass of the vehicle is ... more

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7400 m/sNo ; Consider the momentum of the given ... more

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; Consider a vehicle in outer space in a ... more

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Consider the momentum of the vehicle at time is ... more

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; A vehicle has an initial mass of and a fuel ... more

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25 sThe problem is that there is a large amount of... more

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The expression for the momentum at time is given ... more

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273 s ; Consider the given vehicle hovering just ... more

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