The mass of block A is 4 kg, the mass of block B is 3 kg, and the mass of the pulley is 3 kg. The pulley and can be modelled as a uniformly dense solid cylinder rotating around an axis through its center. The rope passes over the pulley without slipping and θ = 30°. As block A slides up the ramp energy is dissipated at a rate of 5 J/m due to kinetic friction. What is the magnitude of the acceleration of block A (in m/s2)?

Asolid cylinder and a cylindrical shell have the same mass, same radius, and turn on frictionless, horizontal axles. the cylindrical shell has light-weight spokes connecting the shell to the axle. a rope is wrapped around each cylinder and tied to blocks of equal masses that are held the same height above the ground. both blocks are released simultaneously. the ropes do not slip. which block hits the ground first? or is it a tie?