A thin plank of mass M is placed centrally across two solid cylindrical rollers eachof mass m, and the system is allowed to move freely from rest without slip down aslope of angle as shown in the figure below.(a) Derive expressions for the initial accelerations of the plank and the roller.Your solution should include the following in a systematic way:(i) Identification of the types of ensuing motions of the plank andthe rollers,(ii) free-body, kinematic and kinetic diagrams with an appropriateglobal axes system clearly shown,(iii) statements of relevant kinematic and kinetic relationships withreference to your chosen global axes system in (ii), and(iv) clear, logical, and systematic manipulations of the relationshipsyou have stated in (iii) above to arrive at the desired results.(b) Using the results you have obtained in part (a) (iv) above, explainwhether the acceleration of the pla changes as the systemmoves so that the plank is no longer in the central position.++

Whenever the velocity of a process changes, we call it acceleration. Since velocity is both a speed…

Answered: f mass m, and the system is allowed to…

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