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Hi,

I'm facing a pretty silly problem and I will appreciate if you can help me.

I face the following diagram:

[PLAIN]http://img808.imageshack.us/img808/6273/inclinedplane.jpg [Broken]

Forget about the all the missing values in the painting(like that cart's mass, the value of θ, etc..) they are irrelevant, my question is about a principle.

Now, what I need to figure out is the component gravity acting along the ramp.

To figure it out I created a little triangle, placed the right angles, and marked the force acting along the ramp(which I need to figure out) as H:

[PLAIN]http://img30.imageshack.us/img30/189/markedinclinedplane.jpg [Broken]

So, in order to figure out H, I did the following:

sinθ = mg/H

H = mg/sinθ

Pretty easy am I right? Except according to the book I'm reading the right answer is:

H = mg * sinθ

How can it be? I didn't draw the triangle right? Is there other way to figure the force acting along the ramp?

Thank in advanced!

I'm facing a pretty silly problem and I will appreciate if you can help me.

I face the following diagram:

[PLAIN]http://img808.imageshack.us/img808/6273/inclinedplane.jpg [Broken]

Forget about the all the missing values in the painting(like that cart's mass, the value of θ, etc..) they are irrelevant, my question is about a principle.

Now, what I need to figure out is the component gravity acting along the ramp.

To figure it out I created a little triangle, placed the right angles, and marked the force acting along the ramp(which I need to figure out) as H:

[PLAIN]http://img30.imageshack.us/img30/189/markedinclinedplane.jpg [Broken]

So, in order to figure out H, I did the following:

sinθ = mg/H

H = mg/sinθ

Pretty easy am I right? Except according to the book I'm reading the right answer is:

H = mg * sinθ

How can it be? I didn't draw the triangle right? Is there other way to figure the force acting along the ramp?

Thank in advanced!

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