Mechanics

Chirag...I rock.. ..'s Avatar
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Joined: 10 Feb 2007
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16 Mar 2007 22:22:39 IST
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Kinematics
Engineering Entrance , Medical Entrance , AIPMT , JEE Main , AIIMS , JEE Advanced , Physics , Mechanics

Can you explain in detail me what is hudograph?



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vineet's Avatar

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Joined: 11 Dec 2006
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16 Mar 2007 22:32:10 IST
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Hi Das Gupta...hey dont be so angry im jus kiddin ,   
Its hodography..........
 
The hodograph is a plot of the velocity of a particle as a function of time. The velocity is represented by the vector from the origin to a point on the hodograph. If the velocity is known as a function of the time, then it is easy to pass from the hodograph to the trajectory by a simple integration, since dx/dt = vx(t) and dy/dt = vy(t). The hodograph is the solution of the first-order equation dv/dt = f, which is Newton's Law. If f, the ratio of the force to the mass of the particle, is given as a function of t, then v is easily found. In most cases, f is a function of the position of the particle, which makes the problem more difficult. If the trajectory is known, then it is easy to find the hodograph by differentiation with respect to time.


But this term is not necessary for IIT.                
Bipin Dubey's Avatar

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Joined: 23 Jan 2007
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17 Mar 2007 14:57:55 IST
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Refer to the link :

http://www.du.edu/~jcalvert/phys/hodo.htm

Its explained there nicely.



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