C.O.M of Semi circular ring is
2R/pi
C.O.M of Semi circular disc
4R/3pi
Centre of mass of hemispherical shell
R/2
Centre of mass of solid cone
H/4
Centre of mass of hollow cone
H/3
Centre of mass of circular arc
Rsinθ/θ
Centre of mass of sector of circle plate
2Rsinθ/3θ
Centre of mass of solid hemisphere
3R/8
Height attained by the ball after the nth rebound.
e²ⁿh
Time Taken for the nth rebound
eⁿt
Total time taken for bouncing of ball
T = t(1+e/1-e)
Total distance travelled by a bouncing ball
S = h(1+e²/1-e²)
Velocity immediately after the nth rebound
eⁿv