- #1
geoffrey159
- 535
- 72
Homework Statement
a - ##\vec F = \vec F_0 \sin(at) ##
b - ##F = A\theta \hat r##, A constant and ## 0 \le \theta < 2\pi ##. ##\vec F## is limited to the (x,y) plane
c - A force which depends on the velociity of a particle but which is always perpendicular to the velocity
Homework Equations
The Attempt at a Solution
I don't know what to say for (a)
a -
b - Not conservative because ##\vec \nabla \times \vec F = -\frac{A}{r} \hat k \neq \vec 0 ##
c - Conservative because instantaneous work is 0, so the work done on any closed path is 0 : ##\vec F.d\vec r = \vec F.\vec v\ dt = 0 ##