Force applied on suspending/falling mass

In summary, the conversation discusses the concept of torque and axis of rotation in various scenarios. It is mentioned that a horizontal force can create torque on a vertically falling rod, and the position of the axis of rotation depends on the figures involved. The total angle of rotation is not dependent on the axis, and the dynamics can be calculated using the formula of torque = moment of inertia times angular acceleration. Resources are suggested for further understanding of the topic.
  • #1
jakesee
17
0
Hi,

May I ask, if there is a sufficiently long rod falling vertically downwards due to gravity, and then at an instance, a horizontal force is applied at one end of the rod, will this force create a torque on the rod? If so, where is the axis of rotation?

Second question, if a body, not hinged, is experiencing rotation, e.g. a flipping car in "mid air" in a collision, does the axis of rotation ALWAYS go through its center of gravity. If not, how do we find out which axis?.

Third question, say, in the flipping car example, is the "Net Torque" about any axis independant of any other axis? Is there a method to calculate the "net rotation about net axis" so that we can integrate over time to get the resultant orientation? Similar to integrating velocity vector to get position vector kind of maths?


Sorry, that's aquite abit. Hope I can get some help. Thanks for helping.
 
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  • #2
Hi jakesee! :smile:

Yes, if there's a torque (a moment) about the centre of mass, then the body will rotate.

The position of the axis of rotation depends on the exact figures (it won't usually be the centre of mass).

The total angle of rotation doesn't depend on the axis. You can get the dynamics from torque = moment of inertia times angular acceleration, just like the linear F = ma.

See http://en.wikipedia.org/wiki/Instant_centre_of_rotation" [Broken] for some details. :wink:
 
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  • #3
Thanks for the replies, I'll be reading the suggested topics a while before coming back. thanks thanks. =)
 

1. What is the force applied on a suspended or falling mass?

The force applied on a suspended or falling mass is known as the weight of the object. It is the product of the mass of the object and the acceleration due to gravity.

2. How is the force of a suspended or falling mass calculated?

The force of a suspended or falling mass can be calculated using the formula F = m x a, where F is the force, m is the mass in kilograms, and a is the acceleration due to gravity in meters per second squared.

3. Does the force on a suspended or falling mass change with its velocity?

Yes, the force on a suspended or falling mass changes with its velocity. As the velocity increases, the force of the object also increases due to the increase in kinetic energy.

4. What factors affect the force on a suspended or falling mass?

The force on a suspended or falling mass is affected by several factors, including the mass of the object, the acceleration due to gravity, and the air resistance or friction acting on the object.

5. How does the force on a suspended or falling mass affect its motion?

The force on a suspended or falling mass determines its acceleration and therefore its motion. If the force is greater than the resistance or friction acting on the object, it will accelerate in the direction of the force. If the force is equal to the resistance, the object will maintain a constant velocity, and if the force is less than the resistance, the object will decelerate and eventually come to a stop.

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