Strength of Materials
A heavy ladder resting on floor and against a vertical wall may not be in equilibrium, if

the floor and wall both are rough sur-faces
the floor and wall both are smooth surfaces
the floor is rough, the wall is smooth
the floor is smooth, the wall is rough

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Strength of Materials
A semi-circular disc rests on a horizontal surface with its top flat surface horizontal and circular portion touching down. The coefficient of friction between semi-cricular disc and horizontal surface is i. This disc is to be pulled by a horizontal force applied at one edge and it always remains horizontal. When the disc is about to start moving, its top horizontal force will

unpredictable
slant down towards direction of pull
slant up towards direction of pull
remain horizontal

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