A 0.25-kg hollow square thin plate is pin-onnected to a wall with an outer side length of c = 15 cm and an inner side length of b = 13 cm. At the instant shown, the plate is subjected to a vertical force of P = 5 N (at the outermost corner), with a clockwise angular velocity of w =10 rads. Determine the (a) angular acceleration of the plate, and the (b)horizontal and vertical reactions at pin 0.

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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.