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A body of mass m is placed on a rough surface with coefficient of friction u inclined at angle theta. If the mass is in limiting equilibrium then Theta=tan^-1(m/u) Theta=tan^-1(u) Theta=tan^-1(u/m) Theta=tan^-1(1/u)

A body of mass m is placed on a rough surface with coefficient of friction u inclined at angle 
theta.  If the mass is in limiting equilibrium then 
  1. Theta=tan^-1(m/u)
  2. Theta=tan^-1(u)
  3. Theta=tan^-1(u/m)
  4. Theta=tan^-1(1/u)
 

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1 Answers

Agrata Singh
208 Points
4 years ago
I am taking theta as Q for typing purpose
Two forces act on body : gravity downward(W) and friction upward(f) For eqm these two forces have to be equal
W=mgsinQ
f=uN = umgcosQ
 
W=f
mgsinQ=umgcosQ
TanQ=u
Hence option (2) is correct 
 
Hope this helps you 
 

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