A0-tube contains liquid, as shown in Figure 1(a). The total length of the column of liquid in the tube is L. The column of liquid is displaced so that the change in height of the liquid in each arm of the U-tube is x, as shown in Figure 1(b).The liquid in the U-tube then oscillates with simple harmonic motion such that the acceleration a of the column is given by the expression a = - where g is the acceleration of free fall. (a) (b) Figure I (a) Calculate the period T of oscillation of the liquid column for a column length L of 19.0 cm. (b) The variation with time t of the displacement x is shown in Figure 2. The period of oscillation of the liquid column of mass 18.0 g is T. The oscillations are damped. aiem +1.0 Figure 2 (i) Suggest one cause of the damping Gi) Calculate the loss in total energy of the oscillations during the first 2.5 periods of the oscillations
A0-tube contains liquid, as shown in Figure 1(a). The total length of the column of liquid in the tube is L. The column of liquid is displaced so that the change in height of the liquid in each arm of the U-tube is x, as shown in Figure 1(b).The liquid in the U-tube then oscillates with simple harmonic motion such that the acceleration a of the column is given by the expression a = - where g is the acceleration of free fall. (a) (b) Figure I (a) Calculate the period T of oscillation of the liquid column for a column length L of 19.0 cm. (b) The variation with time t of the displacement x is shown in Figure 2. The period of oscillation of the liquid column of mass 18.0 g is T. The oscillations are damped. aiem +1.0 Figure 2 (i) Suggest one cause of the damping Gi) Calculate the loss in total energy of the oscillations during the first 2.5 periods of the oscillations
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Transcribed Image Text:*. A U-tube contains liquid, as shown in Figure 1(a) The total length of the column of liquid in the tube is L.
The column of liquid is displaced so that the change in height of the liquid in cach arm of the U-tube is x, as
shown in Figure I(b).The liquid in the U-tube then oscillates with simple harmonic motion such that the
acceleration a of the column is given by the expression
a =
where g is the acceleration of free fall.
-1
(a)
(b)
Figure I
(a) Calculate the period T of oscillation of the liquid column for a column length L of 19.0 cm.
(b) The variation with time t of the displacement x is shown in Figure 2. The period of oscillation of the
liquid column of mass 18.0 g is T. The oscillations are damped.
aiem
1.0
-10-
Figure 2
(i) Suggest one cause of the damping.
Gi) Calculate the loss in total energy of the oscillations during the first 2.5 periods of the oscillations
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