- #1

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## Homework Statement

Velocity vector for a .5kg body, t=1s to t=35s, is

**v**=5t^2 i + 3/t j – t k

WHat is the position vector? what is the angular momentum vector?what is the acceleration vector? what is torque exerted on the body?

## Homework Equations

**L**=

**r**x

**p**=

**r**xm

**v**

**T**=

**r**x

**f**=

**r**xm

**a**

## The Attempt at a Solution

Position vector: 5/3t^3 i + 1/3ln(t) j - 2t^-2 k

Acceleration Vector: 10t i + (t-3)/t^2 j - k

I am not good in cross product so i might need verification if i did it write...granted that my vectors above are right...

**L**=

**r**x

**p**=

**r**xm

**v**

**L**=((t/6lnt)-3/2))i, ((-15/6)-(5/6t^2))j, ((5/t^6)-(5/6t^2 lnt))k.

I won't write out torque vector because it takes awhile and if i know how do do what is above right, i can manage the torque one...so please somebody review my work