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In this video, we explore the dynamics of a classic problem in classical mechanics: a block sliding on a frictionless wedge that can itself slide freely on a smooth horizontal surface. Step by step, we derive the equations of motion, analyze the geometric constraints, and investigate the interplay between forces and accelerations. We work within the inertial frame, apply Newton’s laws rigorously, and reveal the full set of coupled equations governing the system. The final result provides the accelerations of both the block and the wedge, illustrating the conservation principles and the elegance of analytical mechanics in describing complex motion. 00:00 Presenting the problem (53s) 00:56 Parameters of the problem (70s) 02:07 Observers and reference frames (56s) 03:05 Geometric constraints of the system (79s) 04:26 Horizontal and vertical positions of the block (78s) 05:47 Equations of motion and constraint (91s) 07:19 Equations of motion and constraint (51s) 08:12 Remembering equations (40s) 08:54 Important relations (32s) 09:28 Final equation (32s) 10:02 Final remarks (84s) #Physics #ClassicalMechanics #NewtonianMechanics #AnalyticalMechanics #EngineeringPhysics #MathematicalPhysics #PhysicsEducation #MechanicsProblems #PhysicsDerivations #ScienceExplained #STEM #PhysicsStudents