A particle moves and its vector is given by ? = ??? + (? − ??)?...
A particle moves and its vector is given by ? = ??? + (? − ??)? find
(a) a unit vector normal to the trajectory at t =1
(b) The angular momentum ? = ? × ??̇ of the particle where ?̇ = ?r/?t
(c) The torque ? = ? × ??̈ on the particle where ?̈= ???/??2
Note: from (b) and (c) it is easily seen that ? = ?l/?t
Please show all workings out and thanks for your help.
Homework Answers
First, we find the unit tangent vector, then we find the Unit normal vector to the path at t = 1.
We use the cross product of the vectors to get L and
torque
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