Mechanics 2

Worked examples (5)

• 1Range and time of flight on level ground (7 marks, M2)
• 2Greatest height and trajectory equation (8 marks, M2)
• 3Projection from a cliff onto sea below (9 marks, M2)
• 4Projectile passing through a given point — find angle (8 marks, M2)
• 5Projection up an inclined plane (9 marks, M2)

Worked examples (5)

• 1Find displacement from velocity (5 marks, M2)
• 2Acceleration at a given instant (4 marks, M2)
• 3Find when particle is instantaneously at rest, and distance travelled (8 marks, M2)
• 42D vector motion: velocity, acceleration, speed (8 marks, M2)
• 5Find velocity and position from acceleration (10 marks, M2)

Worked examples (5)

• 1Centre of mass of four particles in 2D (5 marks, M2)
• 2Composite lamina with a circular hole (8 marks, M2)
• 3Centre of mass of a triangular lamina (4 marks, M2)
• 4Lamina suspended from a corner — find angle (8 marks, M2)
• 5Topple-or-slide on an inclined plane (8 marks, M2)

Worked examples (5)

• 1Work done against friction on a horizontal floor (5 marks, M2)
• 2Energy conservation on a smooth slope (6 marks, M2)
• 3Slope with friction — find speed at bottom (8 marks, M2)
• 4Power, driving force and maximum speed (8 marks, M2)
• 5Vehicle on an incline — maximum speed and power (9 marks, M2)

Worked examples (5)

• 1Direct collision: find velocities and KE lost (8 marks, M2)
• 2Impulse on a particle in 2D (5 marks, M2)
• 3Particle striking a wall (6 marks, M2)
• 4Successive collisions between three particles (10 marks, M2)
• 5Coalescing particles (perfectly inelastic) — find combined velocity and KE loss (6 marks, M2)

Worked examples (5)

• 1Ladder against a smooth wall (8 marks, M2)
• 2Ladder with a person climbing (10 marks, M2)
• 3Rod resting on two supports — find reactions (6 marks, M2)
• 4Three-force rule — find angle of equilibrium (8 marks, M2)
• 5Pin-jointed framework — find tensions and compressions (10 marks, M2)