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How can you find the theta if the given is just the coefficient friction and the mass?
Wiki User
∙ 15y ago
If by theta you mean the angle at the base of slope on which is the body laying, and you want to calculate minimal theta for which the blocks starts to slide:
Let's first calculate:
weight: Q = mg
force normal to the slope: N = Q cos theta = mg cos theta
force tangent to the slope: F = Q sin theta = mg sin theta
force of friction: T = fN = fmg cos theta, where f is coefficient of friction
The body will start to move downwards, when T = F, or:
fmg cos theta = mg sin theta
which after simplyfying becomes:
f cos theta = sin theta,
f = sin theta / cos theta
f = tan theta
Therefore,
theta = arc tan f
As you see, the angle only depends on friction coefficient f.
(If that's not a problem you asked to be solved, edit your question please to precisely state what needs to be calculated)
Wiki User
∙ 15y ago
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