What Does the Scale Read, in Grams, as the Hamster Slides Down?
Mathematics
OpenStudy (fanduekisses):
Effigy CP7.56 shows a 200 g hamster sitting on an 800 g wedge- shaped cake. The cake, in turn, rests on a spring scale. An extra-fine lubricating oil having mu_s = mu_k = 0 is sprayed on the op surface of the cake, causing the hamster to slide downwardly. Friction between the block and the scale is large enough that the cake does not slip on the scale. What does the scale read, in grams, equally the hamster slides down?
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OpenStudy (fanduekisses):
OpenStudy (fanduekisses):
This question got me similar wuut... common sense or at least my beginning instinct is to remember that the scale will read 1000 g lol just I know it's more circuitous than that
OpenStudy (fanduekisses):
ayye @agent0smith :D
ganeshie8 (ganeshie8):
Intuition e'er helps in getting started in issues similar these
ganeshie8 (ganeshie8):
Maybe beginning with a FBD of the hamster
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OpenStudy (fanduekisses):
ok :)
OpenStudy (fanduekisses):
|dw:1466391422712:dw|
OpenStudy (agent0smith):
Dude you gotta depict FBDs in proper orientation.
OpenStudy (fanduekisses):
I thought I did, information technology'southward merely that I made my incline exist the 10 axis hehe
OpenStudy (agent0smith):
No i hateful, if the object is on a slope, rotate your axes to reverberate that. |dw:1466391539870:dw| mg should never bespeak anywhere but straight down.
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ganeshie8 (ganeshie8):
Let'southward also expect at your question quick. Why wouldn't the scale simply show 1000g ?
OpenStudy (agent0smith):
Ganeshie has a good point. Imagine if the slope were steeper, like an extreme 90 degrees - at that betoken, is ANY of the hamsters weight pressing on the cake?
OpenStudy (fanduekisses):
it'll autumn off lol
OpenStudy (fanduekisses):
like no not at all
OpenStudy (agent0smith):
Well yeah lol but what i hateful is, the steeper the angle, the less the hamsters weight acts on the gradient.
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OpenStudy (fanduekisses):
ohh I run into
OpenStudy (fanduekisses):
why tho
ganeshie8 (ganeshie8):
Key thing to detect hither is that the hamster is accelerating
OpenStudy (agent0smith):
Because recollect that the strength that the block "feels" from the hamster - that is the normal force of the block on the hamster.
OpenStudy (agent0smith):
The component of mg that is interim parallel to the ramp - that strength does not deed directly on the block
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ganeshie8 (ganeshie8):
Btw all my replies so far are an attempt to address your 2d question `This question got me like wuut... common sense or at least my first instinct is to call back that the scale will read 1000 g lol but I know it'due south more than circuitous than that` Once you run across why common sense doesn't work hither, you tin use F=ma in your FBD to solve the main problem.
OpenStudy (fanduekisses):
Ok so the angle of the incline is pretty significant.
OpenStudy (agent0smith):
This is a pretty tricky question, though. I call back that we can ignore the horizontal forcefulness that the cake exerts on the scale. I retrieve the force we need from the hamster, volition be a component of the normal force.
OpenStudy (fanduekisses):
oh ok
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OpenStudy (fanduekisses):
then similar we simply need to focus on the vertical forces
OpenStudy (agent0smith):
|dw:1466392527966:dw| I think the strength nosotros need is that ane. The horizontal component of the normal should be equivalent to the horizontal forcefulness the block exerts on the scale. Which I think nosotros can ignore. Finding that component isn't very difficult... I'm just not 100% sure this is correct. @ganeshie8
OpenStudy (fanduekisses):
ohhhh ok I think we use the y component mgcos40
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