How to Calculate Work When Force Components Are Given?

In summary, the equation for work, W = Fd, does not consider the direction of the force or displacement. It is simply a product of the two variables. Therefore, the vertical and horizontal components of the force do not affect the calculation of work.
  • #1
VICKZZA
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1. Homework Statement
What should be the value of Work,if vertical component is 2/3 time to the horizontal component of the applied force,while displacement covered in the direction of applied force is X meters?

Homework Equations



W=F.d.....(1)

The Attempt at a Solution


IF horizontal comonent of force is taken as F
then vertical component will be equal to 2/3 : F = 2/3F so then find the magnitude of the force
F=F^2 +2/3F^2 (whole underroot)
and then put the value in equa (1).
now tell me that am i right please?
 
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  • #2
</code>No, you are not right. The equation W = Fd does not take into account the direction of the force or the displacement. It is a simple equation of work, or energy transfer, and is simply a product of the two variables. So, in this case, if F is the magnitude of the applied force, then Work = F x d, regardless of the direction of the force. Therefore, the vertical/horizontal components of the force do not matter.
 

FAQ: How to Calculate Work When Force Components Are Given?

What is work through a displacement?

Work through a displacement is the amount of energy required to move an object a certain distance, or displacement, in the direction of a force.

How is work through a displacement calculated?

The formula for calculating work through a displacement is W = F * d * cosθ, where W is work, F is the force, d is the displacement, and θ is the angle between the force and the displacement.

What is the unit of measurement for work through a displacement?

The unit of measurement for work through a displacement is joules (J). This is equivalent to one newton-meter (N*m).

What is the relationship between work, displacement, and force?

Work, displacement, and force are all related through the formula W = F * d * cosθ. This means that the amount of work done is directly proportional to the magnitude of the force and the displacement, as well as the cosine of the angle between them.

Can work through a displacement be negative?

Yes, work through a displacement can be negative if the force and displacement are in opposite directions, or if the angle between them is greater than 90 degrees. This means that the force is doing negative work, or work against the displacement.

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