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1.) A rigid body is rotating at 2.5 rad/sec about an axis AB,where A and B are the point (1,-2,1) and (3,-4,2).Find the velocity of the particle P of the body at thepoint(5,-1,-1).? ^ ^^ ?^ ^^?^^^2.)If a=i+j-2k,ß=-i2j+3k, y=5i+0j+8k,then determine the scalars c and d???suchthat y-ca-dß is perpendicular toboth a and ß.?3.)If r=a cost i +a sint j+at tan ak,then??find values of |(dr/dt)*(d²r/dt²)|???and(dr/dt)*(d²r/dt²)*(d^3r/dt^3).4.)Find the equations of the tangent plane and normol line to the surface xyz=4 at the point i+2j+2k.5.)prove that (?*B dv= (n*B ds.vs

PRADEEP KUMAR , 14 Years ago
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anser 3 Answers
vikas askiitian expert

Last Activity: 14 Years ago

for this problem we need a perpendicular distance from point (5,-1,-1) to the axis AB..

drs of line AB are 2i -2j +k

eq of AB can be written as

                 r = i -2j +k + k(2i -2j +k) .........................1

now find general point in this line ,then find drs of line through this point and (5,-1,-1)

since AB and this line are perpendicular so dot product of drs is 0..

now u will get value of k for find this general point and by distance formula find perpendicular

distance...let dis distance is r..

then velocity at this point=wr

 

Hammad Ahmad

Last Activity: 2 Years ago

 A rigid body is rotating at 2.5 rad/sec about an axis AB,where A and B are the point (1,-2,1) and (3,-4,2).
Find the velocity of the particle P of the body at the point(5,-1,-1).
 

Hammad Ahmad

Last Activity: 2 Years ago

A rigid body is rotating at 2.5 rad/sec about an axis AB,where A and B are the point (1,-2,1) and (3,-4,2).
Find the velocity of the particle P of the body at the point(5,-1,-1).

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