Kinematics & Newton's Laws: Advanced Problem Solving

Apply relative velocity and acceleration methods to solve multi-body pursuit, river-crossing, and wind-aeroplane problems.

Derive and apply constraint relations in complex systems involving multiple pulleys, wedges, and inextensible strings.

Solve projectile motion problems on inclined planes and with air resistance using calculus-based techniques.

Analyze variable acceleration problems by integrating equations of motion (e.g., using v dv/dx).

Apply Newton's laws in non-inertial reference frames, including pseudo forces for linearly accelerating and rotating systems.

Solve non-uniform circular motion problems in vertical planes by combining Newton's laws with the work-energy theorem.

Analyze multi-body friction problems on rough inclines and wedge-block configurations to determine conditions for slipping and sticking.

Analyze toppling versus sliding conditions for rigid bodies under applied forces on rough surfaces.