Mass Pulley System

Step 1: Understanding the forces.
Since the pulley and the inclined plane are frictionless, we focus on the forces acting on the system. The force on the mass is due to gravity, and the tension in the rope affects its upward acceleration.
Step 2: Force analysis.
The component of the gravitational force acting down the inclined plane is . The tension in the rope is responsible for the upward motion of mass . Since the system is massless and frictionless, the net force on the system will be balanced, and we can apply Newton's second law to solve for the acceleration. After calculating, we find that the acceleration of the mass is . Thus, the correct answer is
(C)
.