A uniform plank long has a mass of

PHYSICS · Single correct · CBSE · Physics · System of Particles and Rotational Motion · System of Particles and Rotational Motion

Problem

A uniform plank 2.0 m2.0\,\text{m} long has a mass of 25 kg25\,\text{kg}. 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 xx meters from the left end and supports the plank. A 60 kg60\,\text{kg} painter stands on the rightmost end of the plank. If the pin is to exert no vertical force on the plank, what value of xx satisfies static equilibrium? (Take g=9.8 m/s2g = 9.8\,\text{m/s}^{2}.) (a) 2.0 m2.0\,\text{m} (b) 1.5 m1.5\,\text{m} (c) 1.7 m1.7\,\text{m} (d) 1.9 m1.9\,\text{m}

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