Context We want to lower a suspended load in a controlled way so that it hits the ground with a small speed. 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 the charges A and B are known. The pulley is a solid cylinder (or disc) of mass mp and radius R that can rotate without friction. The surface on which mass A is placed is horizontal. There is friction between mass A and the surface it sits on, the coefficient of friction is uc. The string attached to mass A is perfectly parallel to the surface on which the mass is resting. Schematization Draw a diagram of each object that interests us. Modelization Create a model for the acceleration of mass B given the known parameters of the problem that are relevant. Then test your model with the following values; Mass of load A: 75kg; Mass of suspended load (B): 84kg; Pulley mass (mp): 61kg Pulley radius: 0.42m Coefficient of friction: 0.21

Physics for Scientists and Engineers, Technology Update (No access codes included)
9th Edition
ISBN:9781305116399
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter5: The Laws Of Motion
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Drop-load (2)

Context

We want to lower a suspended load in a controlled way so that it hits the ground with a small speed. 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 the charges A and B are known.
The pulley is a solid cylinder (or disc) of mass mp and radius R that can rotate without friction.
The surface on which mass A is placed is horizontal.
There is friction between mass A and the surface it sits on, the coefficient of friction is uc.
The string attached to mass A is perfectly parallel to the surface on which the mass is resting.

Schematization

Draw a diagram of each object that interests us.

Modelization

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

Then test your model with the following values;

Mass of load A: 75kg;

Mass of suspended load (B): 84kg;

Pulley mass (mp): 61kg

Pulley radius: 0.42m

Coefficient of friction: 0.21

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