Time Flowing with Falling Stick

In summary, the conversation discusses the problem of finding the time it takes for a stick to fall, given its density and center of mass. The solution involves understanding torque and angular momentum, and using the equation ##\sum\tau = I\ddot\theta## with the moment of inertia being ##I=mL^2/3## for a stick pivoted at one end. The conversation also highlights the importance of learning and understanding physics concepts rather than relying on shortcuts.
  • #1
jordanhuh
5
0
Mod note: deleted image that was way too large.

Homework Statement


I want to know the time flowed while the stick falls.

gravity = g
density of the stick is same so it's center of mass is l/2.
what is the T?

Homework Equations


The Attempt at a Solution


failed to do torque.
 
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  • #2
You mean - "how long does it take for the stick to fall?"
Is the point of contact a fixed pivot?

failed to do torque.
... then learn.
The subject requires an actual physics lesson - there is no shortcut - lessons are expensive for a reason.

You need to draw the forces into the diagram.
At the center of mass, gravity creates a torque.

Torque is the perpendicular component of the force times the distance.
In your case, the torque will depend on the angle.

The equation to solve is ##\sum\tau = I\ddot\theta## ... so you need to know about angular momentum as well. For the stick, pivoted about one end, ##I=mL^2/3## - where L is the length of the stick.
 

FAQ: Time Flowing with Falling Stick

How does the falling stick experiment demonstrate the concept of time flowing?

The falling stick experiment, also known as the Galileo's Leaning Tower of Pisa experiment, demonstrates the concept of time flowing by showing that all objects, regardless of their mass, fall at the same rate due to the force of gravity. This suggests that time is a continuous and constant flow, and not affected by the mass or weight of an object.

What is the significance of Galileo's experiment in understanding the concept of time?

Galileo's experiment challenged the commonly held belief that heavier objects fall faster than lighter objects. By showing that objects of different masses fall at the same rate, he provided evidence that time is a constant and continuous flow, rather than being affected by the weight of an object. This experiment sparked a new understanding of time and its relation to the physical world.

How does the falling stick experiment relate to Einstein's theory of relativity?

Einstein's theory of relativity suggests that time and space are interconnected and can be affected by the presence of mass and gravity. The falling stick experiment supports this theory by showing that time is not absolute, but rather relative to the observer's frame of reference. This experiment also led to the development of the concept of time dilation, where time can appear to pass at different rates for different observers.

Can the falling stick experiment be replicated in other environments?

Yes, the falling stick experiment can be replicated in any environment where the force of gravity is present. This includes other planets and even in space. The results of the experiment would remain the same, as long as the force of gravity is consistent.

What other experiments have been conducted to study the concept of time?

There have been many other experiments conducted to study the concept of time, including the famous Hafele-Keating experiment which demonstrated the effects of time dilation by measuring the difference in time between two atomic clocks on a moving airplane and a stationary clock on the ground. Another notable experiment is the Pound-Rebka experiment, which showed the gravitational redshift of light, further supporting Einstein's theory of relativity.

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