Question

A 10 m long 4000kg truck has its centre of mass 4m behind the front of the truck where should a 1400kg load be placed so that the centre of mass will be right in the middle of the truck​

Answer 1

Explanation:

A WILL BE RIGHT IN THE MIDDLE OF THE TRUCK?

ANSWER:

Answer 2

Concept:

• Centre of mass

Given:

• Truck has length L = 10m
• The truck has mass M1 = 4000 kg
• The centre of mass of the earth = 4 m from the front (origin)
• The mass of the load M2 = 1400 kg
• The new centre of mass should be 5 m from the origin

Find:

• The position of the additional load

Solution:

We know the formula to calculate the centre of mass.

X = (m1x1 + m2x2)/ (m1 + m2)g

X = 5 m, m1 = 4000 kg, x1 = 4 m , m2 = 1400 kg

5 = 4000*4 + 1400* x2 / (4000 + 1400)

5 = 16000 + 1400x2/ 5400

5* 5400 = 16000 + 1400x2

27000 = 16000 + 1400x2

1400x2 = 27000-16000

1400x2 = 11000

x2 = 11000/1400 = 7.86 m

The load should be placed 7.86 m from the front of the truck.

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