Answer:
The maximum acceleration that the truck can have before the refrigerator begins to tip over is 3.79 m/s^2
Explanation:
Mass of refrigerator, m = 120 kg
Refrigerator height, h = 2.2 m
Width of refrigerator, w = 85 cm = 0.85 m
acceleration due to gravity, g = 9.81 m/s^2
From the principles of moments, the refrigerator will start to tip at the point when the forces are balanced at the edge of the width.
Therefore, taking moments about the edge, where the weight acts at the geometric center, we have
m×g×w/2 = m×a×h/2
120×9.81×0.85/2 = 120×a×2.2/2
or a = 3.79 m/s^2
