A uniform cube of mass `m` and slide`a` is resting in equilibrium on a rough `45^(@)` inclined surface. The distance point of application of normal reation measured from the lower edge of the cube is

A horizontal force F = (mg)/(3) is applied on the upper surface of a uniform cube of mass m and slide a which is resting on a rough horizontal surface having mu = (1)/(2) . The distance between lines of action of mg and normal reation is

A horizontal force F = (mg)/(3) is applied on the upper surface of a uniform cube of mass m and slide a which is resting on a rough horizontal surface having mu = (1)/(2) . The distance between lines of action of mg and normal reation is

A horizontal force F = mg//3 is applied on the surface of a uniform cube of mass 'm' and side 'a' which is resting on a rough horizontal surface having mu_(S) = 1//2 . The distance between lines of action of 'mg' and normal reactiom 'N' is -

A uniform cube of side and mass m rests on a rough horizontal surface. A horizontal force F is applied normal to one face at point that is directly above the centre of the face at a height (a)/(4) above the centre. The minimum value of F for which the cube begins to topple above an edge without sliding is

A uniform cube of side and mass m rests on a rough horizontal surface. A horizontal force F is applied normal to one face at point that is directly above the centre of the face at a height (a)/(4) above the centre. The minimum value of F for which the cube begins to topple above an edge without sliding is

A uniform cylinder of mass M and radius R is released from rest on a rough inclined surface of inclination theta with the horizontal as shown in figure. As the cylinder rolls down the inclined surface, the maximum elongation it the spring stiffness k is

A uniform cylinder of mass M and radius R is released from rest on a rough inclined surface of inclination theta with the horizontal as shown in figure. As the cylinder rolls down the inclined surface, the maximum elongation it the spring stiffness k is

A uniform cube of side a and mass m rests on a rough horizontal table. A horizontal force F is applied normal to one of the faces at a point that is directly above the centre of the face, at a height 3a/4 above the base. The minimum value of F which the cube begins to tip about the edge is ....(Assume that the cube does not slide).