The empty tray of an inertial balance oscillates with a time‐period

PHYSICS · Subjective · CBSE · Physics · Oscillations · Oscillations

Problem

T_{0}

. When a known mass

m_{1}

is firmly attached, the period becomes

T_{1}

. (a) Starting from the condition for simple harmonic motion, derive an expression for the mass

M

of the empty tray in terms of

m_{1}

T_{0}

and

T_{1}

. (b) In an experiment the values are:

T_{0}=0.40\,\text{s}

T_{1}=0.60\,\text{s}

and

m_{1}=0.200\,\text{kg}

. Calculate the mass of the tray.