ми m MA mp тв h
Drop-load (II)
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. A spring is attached to mass A to slow down the motion.
Information
The masses of the charges A and B are known.
The pulley is a ring (a hollow cylinder) 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 rests.
The spring is horizontal, initially unstretched and its spring constant is known.
Modelization
Create a model for the modulus of the velocity of mass B when it hits the ground, given the known parameters of the problem that are relevant.
Mass of charge A : 75 kg
Mass of suspended load (B): 85 kg
Pulley mass (mp): 52 kg
Pulley radius: 0.68 m
Coefficient of friction: 0.22
Initial block height B: 0.9 m
Spring constant: 55 N/m
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