MA mp тв
Drop-load (I)
This exercise is part of a series of problems aimed at modelling a situation by progressively refining our model to consider 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 can move on a horizontal surface.
Information
The masses of the charges A and B are known.
The pulley is a ring of mass mp and radius R that can rotate 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 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 x- and y-axes for each object. Draw and name each force experienced by 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 the load A: 80kg;
Mass of suspended load (B): 71kg;
Pulley mass (mp): 55kg
Pulley radius: 0.64m
Step by step
Solved in 3 steps with 3 images
