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 surface. Information The masses of charges A and B are known. The pulley is a solid cylinder (or disc) of mass mp and radius R which can turn without friction. The surface on which mass A is placed is horizontal. There is friction between mass A and the surface on which it is placed, the coefficient of friction is uc. Mass A is on a surface tilted by an angle delta. The rope attached to mass A is perfectly parallel to the surface on which the mass is placed. Modelization Create a model for the acceleration of mass B given the known parameters of the problem that are relevant. Mass of load A: 70kg; Mass of the suspended load (B): 82kg; Pulley mass (mp): 52kg Pulley radius: 0.46m Coefficient of friction: 0.12 Tilt angle: 29 degrees
Drop-load (III)
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 surface.
Information
The masses of charges A and B are known.
The pulley is a solid cylinder (or disc) of mass mp and radius R which can turn without friction.
The surface on which mass A is placed is horizontal.
There is friction between mass A and the surface on which it is placed, the coefficient of friction is uc.
Mass A is on a surface tilted by an angle delta.
The rope attached to mass A is perfectly parallel to the surface on which the mass is placed.
Modelization
Create a model for the acceleration of mass B given the known parameters of the problem that are relevant.
Mass of load A: 70kg;
Mass of the suspended load (B): 82kg;
Pulley mass (mp): 52kg
Pulley radius: 0.46m
Coefficient of friction: 0.12
Tilt angle: 29 degrees
Step by step
Solved in 5 steps with 5 images
