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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.

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 ms2 class=

Respuesta :

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

[tex]2F - mg = ma[/tex]

here we will have

[tex]m = 50 kg[/tex]

[tex]a = 2 m/s^2[/tex]

now we will have

[tex]F = \frac{mg + ma}{2}[/tex]

now plug in all data

[tex]F = \frac{50(9.8 + 2)}{2}[/tex]

[tex]F = 295 N[/tex]

so the pulling force will be 295 N

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