NIMCET 2008 Question Paper with solutions

Question : 31 of 120

Marks: +1, -0

A rigid body is rotating at the rate of 3 rads about an axis A B, where A and B are the points (1,-2,1) and (3,-4,2) . The velocity of the point P at (5,-1,-1) of the body is

$3i+8j+10k$
${3i+8j+10k}/3$
$\;{2 i-2 j+k}/{3}$
$4 {i}+ {j}+2 {k}$

Validate

Solution:

P(5,-1,-1) \; B(3,-4,2)

A B=2 i-2 j+k

A P=4 i+j-2 k

⇒ A B × A P=|\table i , j , k ; 2 , -2 , 1 ; 4 , 1 , -2|=3 i+8 j+10 k

⇒ \;\; V=\;{ {AB} × {AP}}/{w}=\;{3 {i}+8 {j}+10 {k}}/{3}

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