(Solved): Two blocks are connected by a light but sturdy string wrapped around a mass-less pulley. The rough ...

Two blocks are connected by a light but sturdy string wrapped around a mass-less pulley. The rough inclined surface makes an angle of 30 degrees with the horizontal. The block on the inclined surface has a mass \( M=45.2 \mathrm{~kg} \). Assume the coefficient of kinetic friction between the block of mass \( \mathrm{M} \) and the inclined plane is \( \mu \mathrm{k}=0.10 \). The vertically hanging block has a mass \( m=9.0 \mathrm{~kg} \). Assume the blocks begin their motion from rest. (a) What is the magnitude \( \mathrm{N} \) of the normal force on the block of mass \( \mathrm{M} \) ? (b) In What direction does the hanging block \( \mathrm{m} \) move, up or down? Circle one. (c) What is the common magnitude a of the acceleration of the blocks? (d) What is the magnitude \( T \) of the tension in the string? (e) What is the speed of the hanging mass after a time period of \( 2.0 \) seconds?