Mechanics-Forces

[FellowYellow]

A cube is resting on a rough floor, but it is tilted and held at an angle of 15° by a horizontal force P, so that only one edge is in contact with the floor. The horizontal force applied to maintain this angle is applied on the opposite edge of the cube. By modelling the cube as a uniform lamina, give an exact expression for the size of force P, in terms of the mass m of the cube in kg, and g the acceleration due to gravity.
(6marks)

 

[Deleted member 4993]

A cube is resting on a rough floor, but it is tilted and held at an angle of 15° by a horizontal force P, so that only one edge is in contact with the floor. The horizontal force applied to maintain this angle is applied on the opposite edge of the cube. By modelling the cube as a uniform lamina, give an exact expression for the size of force P, in terms of the mass m of the cube in kg, and g the acceleration due to gravity.
(6marks)

First draw a Free Body Diagram - representing the cube as a square touching the ground at a vertex of the square.

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