A truck is carrying a refrigerator as shown in the figure. The height of the refrigerator is 186.0 cm, the width is 56.0 cm. The center of gravity of the refrigerator is 78.0 cm above the midpoint of the base.



Answer :

The acceleration is 3.08 m/s².

The Center of gravity of the refrigerator is 78.0 cm = 78*10^-2 m  above the midpoint of the base.

The center of gravity distance from either edge of the refrigerator is =56 /2 =28 cm =28*10^-2 m.

Let acceleration of the truck is = a

And the mass of the truck is = m

Weight of the refrigerator =m*g

The horizontal force on the refrigerator is  F = ma

Torque on center of gravity due to F is   T1 = F × 78 × 10^-2 Nm  =m×a×81×10^-2

The torque acting on the center of gravity due to the weight of the refrigerator is  T2 = m*g*28*10^-2

for the refrigerator does over T1=T2

m*a*78*10^-2 = m*g*28*10^-2

The maximum acceleration the truck can have so that the refrigerator does over

a = g*28/78

= 3.08 m/s^2

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