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A door 2.30 m high and 1.30 m wide has a mass of 12.8 kg . A hinge 0.40 m from t

ID: 2029441 • Letter: A

Question

A door 2.30 m high and 1.30 m wide has a mass of 12.8 kg . A hinge 0.40 m from the top and another hinge 0.40 m from the bottom each support half the door's weight (see the figure (Figure 1)). Assume that the center of gravity is at the geometrical center of the door, and determine the magnitude of the horizontal force component exerted by each hinge on the door.

Enter your answers numerically separated by a comma.

Determine the vertical force component exerted by each hinge on the door.

40 cm 2.30 mm .30 m 40 cm

Explanation / Answer

Both horizontal components are zero.

Vertical components are equal to

Mg÷2=12.8×9.8÷2

=62.72 N

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