Asked by Vasuki
a solid hemisphere of weight W rests in limiting equilibrium with its curved surface on a rough inclined plane and its plane face is kept horizontal by a weight W1 attached to a point in its rim. prove that the coefficient of friction is W1/√(W(W+2W1))
Answers
Answered by
Parth
If you're still curious:
The equations we get by demanding 0 net force and torque are :
(W1 + W2 )*cosx = N
(W1 + W2 )*sinx = uN
W2 = uN
This tells us that equilibrium can only be achieved at a particular angle of inclination x= arcsin(w2/w1+w2)
Solving these equations further gives us u as the desired result
The equations we get by demanding 0 net force and torque are :
(W1 + W2 )*cosx = N
(W1 + W2 )*sinx = uN
W2 = uN
This tells us that equilibrium can only be achieved at a particular angle of inclination x= arcsin(w2/w1+w2)
Solving these equations further gives us u as the desired result
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