Two people carry a heavy electric motor (M) by placing it on a board 2.0 m long that weighs 200 N. one person A lifts at one end with a force of 400 N. and the other B lifts the opposite end with a force of 600 N. The distance from A where the centre of gravity of the motor is located is

We know there are generally two types of motors, AC motor, and DC motor. AC motors are flexible for speed control and demand low power during start. On the other hand, DC motors are widely used due to its initial cost of low power units is less compared to AC and can be easily installed.
An electric motor is a device which converts electrical energy into mechanical energy. There are mainly two types of electric motors: A DC motor or an AC motor, depending upon their power supplies. When electric current is passed into a rectangular coil, the current produces a magnetic field around that coil.
They operate using principles of electromagnetism, which shows that a force is applied when an electric current is present in a magnetic field.

(A) The weight of the motor should be considered as the 1000 N.

(B) It should be located like 1.2 m from the 400 N force.

Since

length of the board (R) = 2 m

force at one end (F1) = 400 N

force at other end (F2) = 600 N

Here we assume following things

let the distance of force F1 from the motor be = r

let the distance of force F2 from the motor be = r

So, r + r' = 2 m

a. here the weight should be

= 600 + 400

= 1000 N

b.

Since

F1 x r = F2 x r'

So,

here we have to recall that r + r' = 2

r' = 2 - r

now substituting r' = 2 -r into the equation

F1 x r = F2 x (2 - r)

So,

400r = 600(2-r)

400r = 1200 - 600r

400r + 600r = 1200

1000r = 1200

r = 1200/1000

r = 1.2 m

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