How Do You Calculate the Components of Weight on an Inclined Plane?

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In summary, there is an urgent need to calculate the components of weight on an inclined plane for an object weighing 51.5 lbs at a 33 degree angle. One component will be parallel to the slope and the other will be perpendicular. Trigonometry can be used to solve this problem, and drawing a diagram may help with understanding.
  • #1
junesmrithi
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URGENT--Weight on an Incline--please help

A 51.5 lb object is sitting on an inclined plane that makes a 33 degree angle with the horizontal. What is the component of weight that tends to make the object slide down the incline?
And, what is the component of weight that presses against the incline?

i don't know how to go about solving the problem, i don't know how to draw the diagram or what its asking me.
Please help
 
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  • #2
Well, you've got a slope at an angle of 33 degrees, with an object resting on it. Can you not draw this?

Then, the object has a weight, which acts vertically downwards, and you are asked to calculate the components of the weight parallel and perpendicular to the slope. You can do this by trigonometry. Draw the diagram and this should become clearer.
 
  • #3
!

Dear concerned individual,

Thank you for reaching out for assistance with this problem. I am happy to help you understand the concepts and solve the problem.

First, let's start by drawing a diagram of the situation. The inclined plane can be represented as a right triangle, with the weight (W) of the object acting downwards and the plane's surface acting as the hypotenuse. The angle between the weight and the plane is given as 33 degrees.

To find the components of the weight, we need to use trigonometric functions. The component of weight that tends to make the object slide down the incline is the parallel component, which can be calculated using the formula Wsinθ, where θ is the angle of the incline. In this case, it would be Wsin33°.

To find the component of weight that presses against the incline, we need to find the perpendicular component, which can be calculated using the formula Wcosθ. In this case, it would be Wcos33°.

I hope this helps you understand the problem and solve it. If you need further assistance, please do not hesitate to ask. Remember, as a scientist, it is important to always ask questions and seek understanding in order to solve problems.

Best of luck!
 

FAQ: How Do You Calculate the Components of Weight on an Inclined Plane?

What is the relationship between weight and inclination?

The weight on an incline is directly proportional to the angle of inclination. As the angle increases, the weight also increases.

How does the angle of inclination affect the weight on an incline?

The weight on an incline increases as the angle of inclination increases. This is because the component of the weight acting perpendicular to the incline increases with the angle.

What is the difference between static weight and dynamic weight on an incline?

Static weight refers to the weight of an object at rest on an incline, while dynamic weight refers to the weight of an object in motion on an incline. The dynamic weight can be affected by factors such as friction and acceleration.

How does friction affect the weight on an incline?

Friction acts in the opposite direction of motion on an incline, and therefore can decrease the weight on an incline. However, the effect of friction on weight is dependent on the coefficient of friction and the angle of inclination.

Can the weight on an incline ever be equal to zero?

Yes, the weight on an incline can be equal to zero if the angle of inclination is at 90 degrees and there is no friction present. This is because at this angle, the component of the weight acting perpendicular to the incline is equal to zero.

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