Question

Three masses are placed on the y-axis; 200 gm at y = 0 cm, 500 gm at y = 30 cm and 400 gm at y = 70 cm. the distance of the centre of mass from origin is nearly

Answer 1

39cm nearly from the origin

Answer 2

Answer:

The distance of the centre of mass from the origin is nearly 40 cm.

Step-by-step explanation:

From the above question,

They have given :

Three masses are placed on the y-axis; 200 gm at y = 0 cm, 500 gm at y = 30 cm and 400 gm at y = 70 cm.

Here we need to find the distance of the centre of mass from origin.

To calculate the total mass of the system:

M = 200 g + 500 g + 400 g = 1100 g

The moment of each mass about the origin:

                            M1 = 200 g x 0 cm = 0 g·cm

                            M2 = 500 g x 30 cm = 15000 g·cm

                            M3 = 400 g x 70 cm = 28000 g·cm

The total moment of the system:

                            M = 0 g·cm + 15000 g·cm + 28000 g·cm

                                = 43000 g·cm

The distance of the centre of mass from the origin:

                            d = M / M

                               = 43000 g·cm / 1100 g

                               = 39.09 cm

The distance of the centre of mass from the origin =  39.09 cm

Therefore, the distance of the centre of mass from the origin is nearly 40 cm.

For more such related questions : https://brainly.in/question/2832365

#SPJ5