Circular motion

Worked examples (6)

• 1Speed at the bottom from energy conservation
• 2Tension at the lowest point
• 3Speed and tension at a general point on a string
• 4Condition for a complete vertical circle on a string
• 5Particle leaving the outside of a sphere
• 6Complete circle on a light rod (not a string)

Model answers (6)

• ✓Model answer 1
• ✓Model answer 2
• ✓Model answer 3
• ✓Model answer 4
• ✓Model answer 5
• ✓Model answer 6

Worked examples (6)

• 1Angular speed from angle and time
• 2Linear speed from v = rω
• 3Converting rev/min to rad s⁻¹
• 4Period and frequency from angular speed
• 5Angular speed from linear speed and radius
• 6Two points on the same rotating arm

Model answers (5)

• ✓Model answer 1
• ✓Model answer 2
• ✓Model answer 3
• ✓Model answer 5
• ✓Model answer 6

Worked examples (6)

• 1Centripetal force on a particle in a horizontal circle
• 2Centripetal acceleration from linear speed
• 3Conical pendulum — finding the tension and angular speed
• 4Car on a flat bend — maximum speed before skidding
• 5Particle on a string on a smooth horizontal table
• 6Banked bend — the design speed (no friction needed)

Model answers (6)

• ✓Model answer 1
• ✓Model answer 2
• ✓Model answer 3
• ✓Model answer 4
• ✓Model answer 5
• ✓Model answer 6