From which condition are the normal modes for | vedclass

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Question

(B) For a small hand drum (a circular membrane),the normal modes are determined by the boundary condition that the circumference of the membrane is fi

Vedclass · Accepted Answer

The circumference of the drum is fixed.

Vedclass · Answer

(B) For a small hand drum (a circular membrane),the normal modes are determined by the boundary condition that the circumference of the membrane is fixed (clamped). Since the boundary is fixed,the displacement at the circumference must be zero for all time $t$. This condition leads to the formation of stationary waves on the membrane,where the normal modes correspond to specific patterns of vibration (nodal lines) that satisfy this boundary condition.

From which condition are the normal modes for the case of small hand drums decided?

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