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Answer to Question #3214 in Electric Circuits for Stavonna Blount

Question #3214
A block of mass m resting on a 20° slope. The block has coefficients of friction and with the surface. It is connected via a massless string over a massless, frictionless pulley to a hanging block of mass 2.0 kg. What is the minimum mass m that will stick and not slip?



Expert's answer
Let T be the unknown tension of the string. Then for hanging mass will be
T - m2g=0 => T=m2g, m2=2.0 kg

For the first mass T - μ*m1g*cos(θ)=0
Hence
m1=m2g/(μ*g*cos(20))=m2/(μ*cos(20))=2.13/μ
- its minimal value of mass m1=m of the block when it doesn't slip,
where μ is the coef. of friction with the surface(the value of it isn't given in the task)

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