A Uniform Rod Is Attached To A Point With A String---Moments

In summary, the weight of the object O is 19N and it can be shown by taking moments about point A using the principle of moments. The vertical component of tension is 23N and the moment of this tension should act in the same direction as the moment of the rod. The force of gravity exerts a force in the direction of the rod, therefore its moment should also add to that of the rod's moment.
  • #1
Priyadarshini
191
4

Homework Statement


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Use the principle of moments and take moments about A to show that the weight of the object O is 19 N.

Homework Equations



Moment=Force x perpendicular distance

The Attempt at a Solution


Vertical component of tension= TsinA
= 30sin50
=23N
(8.5 x 0.6) = (9.8M-23) x 1.2
5.1/1.2 = 9.8M-23
9.8M=27.25
As w=mg, the W= 27.25N
But the answer is supposed to be 19N[/B]
 
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  • #2
Priyadarshini said:
Vertical component of tension= TsinA
= 30sin50
=23N
(8.5 x 0.6) = (9.8M-23) x 1.2
5.1/1.2 = 9.8M-23
9.8M=27.25
As w=mg, the W= 27.25N
But the answer is supposed to be 19N
You have made an error in balancing moments . Which moment acts in which direction ?
 
  • #3
Qwertywerty said:
You have made an error in balancing moments . Which moment acts in which direction ?
One acts clockwise from point B, I am not so sure about the other. Does it act anticlockwise from point A or does it act at the centre?
 
  • #4
In which direction does gravity exert a force on M ? Is it in the direction of tension or the rod ?
 
  • #5
Qwertywerty said:
In which direction does gravity exert a force on M ? Is it in the direction of tension or the rod ?
It exerts a force in the direction of the rod.
 
  • #6
So should it's moment add to that of the rod's , or should that of the tension's ?
 
  • #7
Qwertywerty said:
So should it's moment add to that of the rod's , or should that of the tension's ?
It should act to that of the rod.
 
  • #8
And what have you done in your original solution ?

Hope this helps ,
Qwertywerty .
 
  • #9
Qwertywerty said:
And what have you done in your original solution ?

Hope this helps ,
Qwertywerty .
Thanks!
 

FAQ: A Uniform Rod Is Attached To A Point With A String---Moments

1. What is a moment in relation to a uniform rod attached to a point with a string?

A moment is a measure of the force applied to an object at a specific distance from a fixed point. In the case of a uniform rod attached to a point with a string, the moment would refer to the rotational force applied to the rod around the fixed point where the string is attached.

2. How is the moment calculated for a uniform rod attached to a point with a string?

The moment of a force is calculated by multiplying the magnitude of the force by the distance from the point of rotation. In the case of a uniform rod attached to a point with a string, the force acting on the rod would be its weight, and the distance would be the length of the rod from the point of attachment to its center of mass.

3. What is the significance of the string in a uniform rod attached to a point with a string?

The string serves as the fixed point of rotation for the rod and allows the force of gravity to act on the rod, creating a moment. Without the string, the rod would not be able to rotate around a fixed point and the concept of moments would not apply.

4. How does the length of the rod affect the moment in a uniform rod attached to a point with a string?

The length of the rod affects the moment by changing the distance from the point of rotation to the center of mass of the rod. The longer the rod, the greater the distance, and therefore the greater the moment created by the force of gravity.

5. Can a uniform rod attached to a point with a string have a moment without the force of gravity?

No, a moment is created by a force acting on an object at a distance from a fixed point. Without the force of gravity, there would be no force acting on the rod and therefore no moment. However, other forces such as tension or friction could also create a moment on the rod.

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