Vector component of the weight of an object

In summary, the conversation discusses a physics question from over thirty years ago where the solution involved using the cosine of the angle from the perpendicular to weigh an object beyond the capacity of a scale. The conversation also provides guidance on how to properly set up the experiment using a uniform object and ensuring the upper support prevents slipping.
  • #1
Philpense
2
0
Graduated College over thirty years ago. In physics, I recall a a question where one is required to weigh an object beyond the capacity of the scale. The answer involved resting one edge of the object on scale and the other on a separate support higher than the scale such that the object created and angle from the perpendicular . I believe that the cosine of the angle from the perpendicular played in the solution. Guidance sought
 
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  • #2
Hi Philpense. http://img96.imageshack.us/img96/5725/red5e5etimes5e5e45e5e25.gif

It sounds do-able. Consider something uniform like a length of sawn timber. Providing you can ensure the upper support prevents the beam slipping, then it appears the force on the lower support (i.e., the scales) will be cos θ x half the weight, where θ is the beam's inclination to the horizontal.
 
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What is the vector component of the weight of an object?

The vector component of the weight of an object refers to the force acting on the object in a specific direction. It is a vector quantity, which means it has both magnitude and direction.

What factors affect the vector component of an object's weight?

The vector component of an object's weight is affected by the mass of the object and the direction and magnitude of the force acting on it. It is also influenced by the acceleration due to gravity and the angle at which the force is applied.

How is the vector component of an object's weight calculated?

The vector component of an object's weight can be calculated using the formula: Wx = W * cos(theta), where Wx is the horizontal component and theta is the angle at which the force is applied. Similarly, Wy = W * sin(theta) represents the vertical component of the weight.

What is the difference between the vector component and the net weight of an object?

The vector component of an object's weight is a specific force acting on the object in a particular direction, while the net weight is the overall force acting on the object, taking into account all the different forces acting on it. The net weight may have both horizontal and vertical components, while the vector component typically only has one of these components.

Why is the vector component of an object's weight important?

The vector component of an object's weight is important because it helps us understand the forces acting on an object and how they affect its motion. It also allows us to calculate and predict the motion of an object in a particular direction, which is crucial in fields such as physics and engineering.

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