Schematization Represents the initial and final states of the system, identifying an upward y+ axis for the block. Modelization Creates a model for the distance traveled by the block, based on known parameters only. Then test your model with the following values: Block mass: 18.1 kg Distance before rough part (D): 3.4 m Kinetic coefficient of friction: 0.24 Spring constant (k): 84 N/m Initial spring compression: 0.5 m
Simple harmonic motion
Simple harmonic motion is a type of periodic motion in which an object undergoes oscillatory motion. The restoring force exerted by the object exhibiting SHM is proportional to the displacement from the equilibrium position. The force is directed towards the mean position. We see many examples of SHM around us, common ones are the motion of a pendulum, spring and vibration of strings in musical instruments, and so on.
Simple Pendulum
A simple pendulum comprises a heavy mass (called bob) attached to one end of the weightless and flexible string.
Oscillation
In Physics, oscillation means a repetitive motion that happens in a variation with respect to time. There is usually a central value, where the object would be at rest. Additionally, there are two or more positions between which the repetitive motion takes place. In mathematics, oscillations can also be described as vibrations. The most common examples of oscillation that is seen in daily lives include the alternating current (AC) or the motion of a moving pendulum.
Spring drive!
context
A block is placed at the end of a compressed spring (without being attached to it). We release the block, it is propelled towards a rough surface. What total distance (from its initial position) will the block travel before stopping?
Information
The mass of the block is known.
The block is initially at rest.
There is no friction up to a distance D.
From a distance D, the ground becomes rough: the coefficient of kinetic friction is known.
The spring constant is known.
The initial compression of the spring is known.
Schematization
Represents the initial and final states of the system, identifying an upward y+ axis for the block.
Modelization
Creates a model for the distance traveled by the block, based on known parameters only.
Then test your model with the following values:
Block mass: 18.1 kg
Distance before rough part (D): 3.4 m
Kinetic coefficient of friction: 0.24
Spring constant (k): 84 N/m
Initial spring compression: 0.5 m
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