A block is at rest on the incline shown in the figure. The coefficients of stati

Question

A block is at rest on the incline shown in the figure. The coefficients of static and kinetic friction are s = 0.73 and k = 0.62respectively. Acceleration of gravity is 9.8 m/s2 . What is the frictional force acting on the 22 kg mass, andwhat is the largest angle which the incline can have so that themass does not slide down the incline? A block is at rest on the incline shown in the figure. The coefficients of static and kinetic friction are s = 0.73 and k = 0.62respectively. Acceleration of gravity is 9.8 m/s2 . What is the frictional force acting on the 22 kg mass, andwhat is the largest angle which the incline can have so that themass does not slide down the incline?

Explanation / Answer

Taking the x axis down the ramp we have the forces in thex-direction as: mgsin()-Ff=ma In the y dierection we have: N=mgcos() since Ff=N=mgcos() where=.73   this is the frictionforce now we have mgsin()=mgcos()   solve this for =Arctan()    =.73 thisis the largest angle

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