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Vectors

Hot goIITian

 Joined: 1 Jan 2012 Post: 185
15 May 2012 10:48:24 IST
1 People liked this
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348
vector question
Engineering Entrance , JEE Main , JEE Advanced , Mathematics , Vectors

If a rigid body is rotating about an axis passing through the point 2i-j-k and parallel through the points i-2j+2k with an angular velocity 3 rad/sec , then find the velocity of the point of the rigid body whose position vector is 2i+3j-4k

Blazing goIITian

Joined: 22 May 2009
Posts: 2467
15 May 2012 14:12:54 IST
1 people liked this

the axis would be the direction of w

and r can be find out by subtracting (point on boudary-parallel point)

Now w can be given in vector form and v can be given in vector form using

v=w(cross)r/(mod(r))^2

put v as Vxi+Vyj+Vzk

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