题目
A uniform solid sphere of mass M and radius R is placed on a ramp inclined at an angle θ to the horizontal.The coex0efficient of static friction between sphere and ramp is x16μs.Find the maximum value of x12 for which the sphere will roll without slipping,starting
from rest,in terms of the other quantities.(Hint one:the moment of inertia of a sphere is 2/5MR2.Hint two:write the "no slip" condition as |acm|=Rα where acm is the linear acceleration of the center of mass of the sphere.)
上面那个打错了~应该是求 Find the maximum value of x12θ for which the sphere will roll without slipping。
这是一公式。我就想知道答案是什么~明天要交作业呢
from rest,in terms of the other quantities.(Hint one:the moment of inertia of a sphere is 2/5MR2.Hint two:write the "no slip" condition as |acm|=Rα where acm is the linear acceleration of the center of mass of the sphere.)
上面那个打错了~应该是求 Find the maximum value of x12θ for which the sphere will roll without slipping。
这是一公式。我就想知道答案是什么~明天要交作业呢
提问时间：2021-03-30
答案
MgRsinθ=(2/5MR2+MR2)β
Mgsinθ-μMgcosθ=Ma
a=Rβ
得θ=tan-1（7μ/2）
Mgsinθ-μMgcosθ=Ma
a=Rβ
得θ=tan-1（7μ/2）
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