Derivation of the Change in Height of Ballistic Pendulum

cos q = H/L Pythagoran Theorem
H = L cos q Multiply both sides by L
L = H + Hchange It is the same string
L = L cos q + Hchange Substitute
Hchange = L - L cos q Subtract L cosq from both sides

Hchange = L(1 - cos q )

 

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