Question

The cement bag shown in the figure has a mass of 50 kg and the small pulley has a mass of 2 kg. If the cement bag is pulled upwards with an acceleration of 2 m/s^2, find the force F pulling the rope.

Answer 1

For the cement bag we can say as per its force diagram we will have

`2F - mg = ma`

here we will have

`m = 50 kg`

`a = 2 m/s^2`

now we will have

`F = (mg + ma)/(2)`

now plug in all data

`F = (50(9.8 + 2))/(2)`

`F = 295 N`

so the pulling force will be 295 N