The rope holds a body with a weight of not more than 2500 N. A load of 200 kg is lifted on the rope.
February 6, 2021 | education
| The rope holds a body with a weight of not more than 2500 N. A load of 200 kg is lifted on the rope. At what acceleration will the rope break?
Let’s define the force of gravity acting on the load:
F = m * g, where m is the mass, g is the acceleration of gravity.
F = 200 * 10 = 2000 n
Then the safety margin will be:
2500 – 2000 = 500 n.
Using Newton’s second law, we find the maximum acceleration:
F = m * a;
a = F / m.
a = 500/200 = 2.5 m / s ^ 2.
Answer: acceleration during lifting should not exceed 2.5 m / s ^ 2.
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