(Find time it takes a block to travel) Dynamics

AI Thread Summary
To determine the time it takes for a block to travel 10 meters from rest on a 45-degree slope with a friction factor of 0.3, Newton's laws must be applied. The weight of the block must be resolved into components: one acting perpendicular to the slope and the other parallel to it, which influences the friction force. The friction force can be calculated by multiplying the perpendicular component of the weight by the friction factor. A diagram illustrating these forces is essential for visualizing the problem. Properly resolving the forces will lead to the necessary equations to find the time of travel.
wildleaf
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Homework Statement


How long would it take for the block to travel 10m starting from zero velocity? (i.e. T =?)
(Look the the attached picture for the block and the position of it on the plane at 45 degree and 10 m from ground with the same slope)

Theta = 45 degrees
m = 1.0 kg
f = 0.3 (Friction Factor)
L = 10 m

Homework Equations



The Attempt at a Solution



I know we have to use the Newton's law and we have to assume that v = 0 @ T = 0. But I do not how to do it.

Homework Statement


Homework Equations


The Attempt at a Solution

 

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Draw a large diagram. Find the component of weight which acts perpendicularly to the slope. When you multiply this by 0.3 you have the friction force that acts along the slope.

That should get you started.
 
Is this what you mean (look at the attached picture).
 
You haven't drawn the triangle that resolves the weight into two components: one perpendicular to the slope, the other parallel to it.
 
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