Applied Mechanics and Graphic Statics
A ladder of weight 'w' rests against a smooth vertical wall, and rests on rough horizontal ground, the coefficient of friction between the ladder and the ground being 1/4. The maximum angle of inclination of the ladder to the vertical, if a man of weight 'w' is to walk to the top of it safely, is tan'1 x, where x is

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Applied Mechanics and Graphic Statics
A sphere and a cylinder having the same mass and radii start from rest and roll down the same inclined plane. Which body gets to the bottom first?

Cylinder with greater rotational energy at bottom than sphere
Sphere with greater rotational energy at bottom than cylinder
Both reach the bottom simultaneously with equal rotational energy at bottom
Sphere with lesser rotational energy at bottom than cylinder

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