Schematization Draw a diagram of each object that interests us. Draw your x- and y-axes for each object. Draw and name each force experienced by each object that interests us. Modelization Creates a model for the modulus of the velocity at which the load B will hit the ground as a function of the value of the masses A and B, along with the block's initial height B, the kinetic friction coefficient, and the angle d inclination of the surface on which the mass A is resting only. Then test your model with the following values: Mass of the load A : 95kg Mass of suspended load (B): 65kg Initial height of suspended mass (h): 3.7m Coefficient of friction under mass ?: 0.27 Angle of inclination of the surface on which the mass A is placed: 14.5 degrees

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Drop-load (III)
This exercise is part of a series of problems aimed at modeling a situation by progressively refining our model to take into account more and more parameters. This progressive approach is very close to what professional scientists do!

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 slides on a surface.

Information

The masses of the charges A and B are known.
The mass of the rope itself is negligible (very small compared to the loads).
The pulley has negligible mass and can rotate without friction.
The charge B is initially stationary and is at a known height h.
The surface on which mass A sits is tilted upwards at a known angle theta from the horizontal.
There is friction under mass A: the kinetic friction coefficient is known.
The string attached to mass A is perfectly parallel to the surface on which the mass rests.


Schematization

Draw a diagram of each object that interests us. Draw your x- and y-axes for each object. Draw and name each force experienced by each object that interests us.

Modelization

Creates a model for the modulus of the velocity at which the load B will hit the ground as a function of the value of the masses A and B, along with the block's initial height B, the kinetic friction coefficient, and the angle d inclination of the surface on which the mass A is resting only.

Then test your model with the following values:

Mass of the load A : 95kg

Mass of suspended load (B): 65kg

Initial height of suspended mass (h): 3.7m

Coefficient of friction under mass ?: 0.27

Angle of inclination of the surface on which the mass A is placed: 14.5 degrees

Ө
MA
mB
h
Transcribed Image Text:Ө MA mB h
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