Drop-load (I) context We want to lower a suspended load in a controlled way, so that it hits the ground with a speed whose modulus is not too great. To do this, the suspended load (B) is connected by a rope passing through a pulley to another mass (A), which can move on a horizontal surface. Information The masses of charges A and B are known. The pulley is a ring of mass mp and radius R which can turn without friction. The surface on which mass A is placed is horizontal. There is no friction between mass A and the surface on which it is placed. The rope attached to mass A is parallel to the surface on which the mass is placed. Attention! The presence of a pulley of non-negligible mass means that the tensions on each side of this pulley are different. Modelization Create a model for the acceleration of mass B given the known parameters of the problem that are relevant. Mass of load A: 80kg; Mass of the suspended load (B): 71 kg; Pulley mass (mp): 55kg Pulley radius: 0.64m

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Drop-load (I)

context

We want to lower a suspended load in a controlled way, so that it hits the ground with a speed whose modulus is not too great. To do this, the suspended load (B) is connected by a rope passing through a pulley to another mass (A), which can move on a horizontal surface.

Information

The masses of charges A and B are known.
The pulley is a ring of mass mp and radius R which can turn without friction.
The surface on which mass A is placed is horizontal.
There is no friction between mass A and the surface on which it is placed.
The rope attached to mass A is parallel to the surface on which the mass is placed.

Attention! The presence of a pulley of non-negligible mass means that the tensions on each side of this pulley are different.

Modelization

Create a model for the acceleration of mass B given the known parameters of the problem that are relevant.

Mass of load A: 80kg;

Mass of the suspended load (B): 71 kg;

Pulley mass (mp): 55kg

Pulley radius: 0.64m

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mp
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Transcribed Image Text:MA mp тв
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