A 1.50-kg bottle of vintage wine is lying horizontally in a rack, as shown in th

Question

A 1.50-kg bottle of vintage wine is lying horizontally in a rack, as shown in the drawing.

The two surfaces on which the bottle rests are 90.0

A 1.50-kg bottle of vintage wine is lying horizontally in a rack, as shown in the drawing. The two surfaces on which the bottle rests are 90.0 degree apart, and the right surface makes an angle of 45.0 degree with respect to the horizontal. Each surface exerts a force on the bottle that is perpendicular to the surface. Both forces have the same magnitude F. Find the value of F. Assume g = 9.81 m/s^2.

Explanation / Answer

Each surface contributes a vertical force = m g / 2.

Asthe total force at each surface is at 45 deg =  F = m g cos 45

F = 1.50 * 9.8 * cos 45

= 10.39 N

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