Strength of Materials
Least force required to draw a body up the inclined plane is W sin (plane inclination + friction angle) applied in the direction

along the plane
at an angle equal to the angle of friction to the inclined plane
horizontally
vertically

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Strength of Materials
According to principle of transmissibility of forces, the effect of a force upon a body is

Maximum when it acts at the center of gravity of a body
Minimum when it acts at the C.G. of the body
Different at different points in its line of action
The same at every point in its line of action

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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

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

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