# Physics Tutorial 6.2 - Determining the Centre of Mass in Objects and Systems of Objects Revision Questions

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6.2Determining the Centre of Mass in Objects and Systems of Objects

## Determining the Centre of Mass in Objects and Systems of Objects Revision Questions

1) Two long and thin bars made of different material are stuck longwise as shown in the figure.

The golden bar is 4 m long and it weighs 3 kg, while the brownish bar is 3 m long and it weighs 1 kg. Where is the centre of gravity of the system if measured from the left end?

1. 3.75 m
2. 2.14 m
3. 1.25 m
4. 1.86 m

2) Two objects of masses 5kg and 3 kg respectively are placed at 4 m away from each other and they are connected with a massless stick as shown below.

What is the position of the centre of gravity of this system from the 5 kg object?

1. 2.5 m on the right of the 5 kg object
2. 1.5 m on the right of the 5 kg object
3. 2.7 m on the left of the 5 kg object
4. 1.7 m on the left of the 5 kg object

3) Three objects of masses m1 = 8 kg, m2 = 3 kg and m3 = 1 kg respectively are placed at the positions shown in the figure.

What are the coordinates of the centre of gravity of the system if the objects are connected with massless sticks?

1. xC = 1 m, yC = 0 m
2. xC = 0.75 m, yC = - 0.083 m
3. xC = 0.75 m, yC = - 1 m
4. xC = 0 m, yC = 1 m

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