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Further Mechanics (Circular Motion (Angular displacement - angle through…
Further Mechanics
Circular Motion
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Angular velocity - rate of change of angular displacement - angle an object rotates through each second
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According to Newton's Laws, if there is a centripetal acceleration, there must be a resultant force (centripetal force) acting towards the centre of the circle
centripetal force keeps moving object in a circle - removing it will cause object to fly off at a tangent
Force, Impulse and Energy
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Inelastic collision - total KE less after collision than before as some lost due to heat and sound - total energy still conserved
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- Ball travelling in circle is constantly changing direction ∴ linear velocity is always changing ∴ ball is accelerating but magnitude of linear velocity is always the same
- In a time t, the ball moves from point A to B and turns through an angle θ, travelling a distance s where s=vt
- If θ is considered small, s≈AB
- At point A, the ball has a linear velocity V(A), and V(B) at point B - change in linear velocity = v = V(B) - V(A)
- Drawing a vector diagram results in a triangle similar to ABO - ratio of s to r is same as of V(A) to v
