physicsss
Nov4-04, 11:55 AM
An ant crawls with constant speed along a radial spoke of a wheel rotating at constant angular velocity w about a vertical axis. Write a vector equation for all the forces (including inertial forces) acting on the ant. Take the x axis along the spoke, y perpendicular to the spoke pointing to the ant's left, and the z axis vertically upward. The wheel rotates counterclockwise as seen from above. Ff,x, Ff,y, and FN represent reaction forces from the spoke, where the f denotes a frictional force, and the N denotes a normal force. (Use r for the radial displacement, v for the ant's speed, and m and g as appropriate. Express w in terms of other variables.)
Sum of F = (-Ff,x + F1)i + (Ff,y + F2)j + (FN + F3)k = 0
Sum of F = (-Ff,x + F1)i + (Ff,y + F2)j + (FN + F3)k = 0