A uniform plank 2.0m long has a mass of 25kg. Its left end is attached to a frictionless pin that can exert forces only perpendicular to the plank. A vertical cable is attached at a point located x meters from the left end and supports the plank. A 60kg painter stands on the rightmost end of the plank. If the pin is to exert no vertical force on the plank, what value of x satisfies static equilibrium? (Take g=9.8m/s2.)
a) 2.0m
b) 1.5m
c) 1.7m
d) 1.9m