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Drop-load (IV)
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 an inclined plane. 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 disc (a solid cylinder) of mass mp and radius R that can rotate without friction.
The angle delta of the inclined plane is known.
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 parallel to the inclined plane.
The spring is parallel to the inclined plane, 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 : 80 kg
Mass of suspended load (B): 92 kg
Pulley mass (mp): 50 kg
Pulley radius: 0.59 m
Coefficient of friction: 0.16
Initial block height B: 0.8 m
Spring constant: 75 N/m
Inclined plane angle: 13.2 degrees
Step by step
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