Determine with what acceleration you can lift a load weighing 120 kg so that the rope withstanding

Determine with what acceleration you can lift a load weighing 120 kg so that the rope withstanding a maximum load of 2000N does not break.

Task data: m (weight of the taken load) = 1200 kg; Fmax (maximum load on the used rope) = 2000 N.

Reference values: g (acceleration due to gravity) ≈ 10 m / s2.

The limiting acceleration with which the taken load can be lifted can be expressed from the formula: Fmax = m * (g + amax), whence amax = Fmax / m – g.

Let’s calculate: amax = 2000/120 – 10 = 16.67 – 10 = 6.67 m / s2.

Answer: Acceleration when lifting the taken load should not exceed 6.67 m / s2.