^Problem solving tips
- If a particle is moving on a circular path with angular speed w about the center, then its angular speed about a point on the opposite side of the diameter passing through it is w/2.
- If uniform speed remains constant then the motion is called uniform circular motion. Magnitude of v, at & an respectively are
- On a rigid body all points undergo same angular displacement (θ) in same time interval thus all the points on a rigid body rotate at same angular speed (ω) & have angular acceleration (α), thus v, at & an ∝ r. Thus a point situated farthest from center circle will have maximum value of speed, tangential acceleration & normal acceleration. Also a point at center will have zero values of v, at & an.
- is a unit vector directed radially or normally outwards.