- #1
Master J
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Been looking over past exam questions and came across this one. Its in polar coordinates:
A particle P describes the curve r=be^[Zcot(a)].
Show that the velocity and acceleration vectors have angles a and 2a with OP (O is the origin).
Z is actually theta, the angle the position vector makes with the x axis. Its derivative to time is w, a constant here. B and a are constants.
I'm stumped!
I work out v as: bcot(a)we^(Zcot(a)).[e_1] + bwe^('').[e_2]
Even with them worked out I am stumped as to show that^^^^
Any pointers?
Cheers guys!
A particle P describes the curve r=be^[Zcot(a)].
Show that the velocity and acceleration vectors have angles a and 2a with OP (O is the origin).
Z is actually theta, the angle the position vector makes with the x axis. Its derivative to time is w, a constant here. B and a are constants.
I'm stumped!
I work out v as: bcot(a)we^(Zcot(a)).[e_1] + bwe^('').[e_2]
Even with them worked out I am stumped as to show that^^^^
Any pointers?
Cheers guys!