Vectors> Vectors problems...

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).

PRADEEP KUMAR , 15 Years ago

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4 Answers

vikas askiitian expert

r = acost i +asint j +at(tanak) k..................1

dr/dt =ad/dt(cost) i + ad/dt (sint)j+ (atana)d/dt(t) k

dr/dt =-asint +acost +atana k ...................2

d²r/dt² = -acost i+ -asint j + 0 k ...............3

d³r/dt³ = asint i -acost j ...............4

now use these equations and get ur ans ...

Last Activity: 15 Years ago

Dileep model

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Forum Vectors Vectors problems

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).

PRADEEP KUMAR, 10 years ago

Grade:

1 Answers

vikas askiitian expert

509 Points

10 years ago

r = acost i +asint j +at(tanak) k..................1

dr/dt =ad/dt(cost) i + ad/dt (sint)j+ (atana)d/dt(t) k

dr/dt =-asint +acost +atana k ...................2

d2r/dt2 = -acost i+ -asint j + 0 k ...............3

d3r/dt3 = asint i -acost j ...............4

Last Activity: 4 Years ago

Dileep model

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).

Last Activity: 4 Years ago

Vaibhavi Gupta

given r= acosti+asintj+attanak

dr/dt= -asinti+acostj+atanak

d^2r/dt^2= -acosti-asintj+0k

• |(dr/dt) x (d^2r/dt^2)|=| (a^2sint tana)i-(a^2cost tana)j+(a^2)k|

|(dr/dt) x (d^2r/dt^2)|= a^2seca

• d^3r/dt^3 = asinti-acostj+0k

(dr/dt) *(d^2r/dt^2) *(d^3r/dt^3) = -(asinti+acostj+atanak) *(-acosti-asintj) *(asinti-acostj)

Last Activity: 4 Years ago

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Vectors> Vectors problems...

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).

PRADEEP KUMAR , 15 Years ago

vikas askiitian expert

Dileep model

Dileep model

Vaibhavi Gupta

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