11-4.10. The coefficient of friction under the sliding supports of the door in Fig. P-11-4.10 is 0.30 at A and 0.20 at B. What force P will give the 600-lb door a leftward acceleration of 8.05 fps2? P = 281 lb Ans.

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Dimensional homogeneity

The term dimensional homogeneity means that in an equation, the dimensions of each term on both sides are equal, which means the dimensions of the left-hand side (LHS) of an equation are similar to the dimensions of the right-hand side (RHS). For a dimensionally homogeneous equation, the powers of fundamental dimensions will be identical on both sides of the equation.