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A glass tube nearly filled with mercury is attached in tandem to the bottom of an iron pendulum rod 100 cm long. How high must the mercury be in the glass tube so that the center of mass of this pendulum will not rise or fall with changes in temperature? (The cross-sectional area of the tube is equal to that of the iron rod. Neglect the mass of the glass. Iron has a density of 7.87 ×10 3 kg/m 3 and a coefficient of linear expansion equal to 12 × 10 -6 /Cº, The coefficient of volume expansion of mercury is 18 × 10 -5 /Cº,)

A glass tube nearly filled with mercury is attached in tandem to the bottom of an iron pendulum rod 100 cm long. How high must the mercury be in the glass tube so that the center of mass of this pendulum will not rise or fall with changes in temperature? (The cross-sectional area of the tube is equal to that of the iron rod. Neglect the mass of the glass. Iron has a density of 7.87 ×103 kg/m3and a coefficient of linear expansion equal to 12 × 10-6/Cº, The coefficient of volume expansion of mercury is 18 × 10-5/Cº,)

Grade:11

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