Want site search autocompletion? See here Encountering 429 Too Many Requests errors when browsing the site? See here
See sliding motion along an inclined plane for background information.
1 Consider a situation where μ s = m u k = μ {\displaystyle \mu _{s}=mu_{k}=\mu } is the coefficient of static as well as kinetic friction between the block and the incline. What can we say about the normal force between the block (of mass m {\displaystyle m} ) and the incline as a function of the angle of incline θ {\displaystyle \theta } (this is the angle that the incline makes with the horizontal)?
2 Consider a situation where μ s = μ k = μ {\displaystyle \mu _{s}=\mu _{k}=\mu } is the coefficient of static as well as kinetic friction between the block and the incline. Once the angle of the incline (denoted θ {\displaystyle \theta } ) exceeds tan − 1 ( μ s ) {\displaystyle \tan ^{-1}(\mu _{s})} , the magnitude of downward acceleration a {\displaystyle a} is an increasing function of θ {\displaystyle \theta } . What is its derivative with respect to θ {\displaystyle \theta } ?