How far can the remote control extend without tipping over?

In summary, the remote control can extend up to 7.31cm beyond the edge of the table without tipping over when the power button is pressed, assuming the mass is uniformly distributed and the power button is located at the end of the remote overhanging the table. This can be determined by setting the clockwise moment (caused by the weight of the remote) equal to the anticlockwise moment (caused by the force required to press the power button) and solving for the perpendicular distance between the pivot and the force.
  • #1
mmajames
12
0

Homework Statement


A .110-kg remote control 21.0cm long rests on a table, with a length L overhanging its edge. To operate the power button on this remote requires a force of .365N. How far can the remote control extend beyond the edge of the table and still not tip over when you press the power button? Assume th3e mass of the remote is distributed uniformly, and that the power button is on the end of the remote overhanging the table.


Homework Equations


No idea.


The Attempt at a Solution


None
 
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  • #2
Take moment about the edge of the table.
No net moment in equilibrium, i.e.
clockwise moment = anticlockwise moment
 
  • #3
What moment? Moment of inertia?
 
  • #4
[itex]\tau[/itex] = Fd[itex]_{\bot}[/itex]
where d[itex]_{\bot}[/itex] is the perpendicular distance between the pivot (edge of the table) and the force
 
  • #5
So how would I set up the equations?
 
  • #6
http://www.greenandwhite.net/~th4450/phy2.png

Clockwise moment = W·d
Anticlockwise moment = F·d
 

FAQ: How far can the remote control extend without tipping over?

1. What is torque?

Torque is a measure of the rotational force applied to an object. It is calculated by multiplying the force applied by the distance from the axis of rotation.

2. How is torque related to static equilibrium?

In a state of static equilibrium, the net torque acting on an object is equal to zero. This means that the rotational forces are balanced and the object is not rotating.

3. What is the difference between clockwise and counterclockwise torque?

Clockwise torque occurs when the force applied causes the object to rotate in a clockwise direction, while counterclockwise torque causes the object to rotate in a counterclockwise direction. The direction of torque is determined by the direction of the force and the location of the axis of rotation.

4. How is torque affected by the distance from the axis of rotation?

The further the force is applied from the axis of rotation, the greater the torque will be. This is because the lever arm, or distance, increases, resulting in a larger moment arm and a greater torque.

5. What is the principle of moments?

The principle of moments states that in order for an object to be in a state of equilibrium, the sum of the clockwise moments must be equal to the sum of the counterclockwise moments. This principle is based on the concept of torque and is used to analyze and solve problems involving static equilibrium.

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