Damped Simple Harmonic Motion
PHXI14:OSCILLATIONS

364063 In damped SHM, the SI unit of damping constant is

1 \(\dfrac{N}{s}\)
2 \(\frac{{kg}}{s}\)
3 \(\frac{{kg}}{m}\)
4 \(\dfrac{N}{m}\)
PHXI14:OSCILLATIONS

364064 Assume that you are examining the characteristics of the suspension system of a \(2000\;kg\) automobile. The suspension "sags" \(25\,cm\) when the weight of the entire automobile is placed on it. In addition, the amplitude of oscillation decreases by \(50 \%\) in \(100\,\sec \). Estimate the value of \(b\) for the shock absorber system of one wheel, assuming each wheel supports \(500\;kg\).

1 \(2.56\;kg/s\)
2 \(3.72\;kg/s\)
3 \(6.93\;kg/s\)
4 \(9.12\;kg/s\)
PHXI14:OSCILLATIONS

364065 A pendulum with time period of \(1\;s\) is losing energy due to damping. At certain time its energy is \(45\;J\). If after completing 15 oscillations, its energy has become \(15\;J\), its damping constant (in \({s^{ - 1}}\)) is:

1 \(\dfrac{1}{2}\)
2 \(\dfrac{1}{30} \ln 3\)
3 \(2\)
4 \(\dfrac{1}{15} \ln 3\)
PHXI14:OSCILLATIONS

364066 Which of the following figure represents (s) damped simple harmonic motion?
supporting img

supporting img

supporting img

supporting img

1 Fig. 2 alone
2 Fig. 1 alone
3 Fig. 3 and 4
4 Fig. 4 alone
PHXI14:OSCILLATIONS

364067 How long does it take for the amplitude of the damped oscillations to drop to half its initial value. For the damped oscillator of shown in the figure. \(m = 250\;g,k = 85\;N/m\), and
\(b = 70\;g/s\).
supporting img

1 \(3.15\,\sec \)
2 \(4.95\,\sec \)
3 \(8.15\,\sec \)
4 \(6.25\,\sec \)
PHXI14:OSCILLATIONS

364063 In damped SHM, the SI unit of damping constant is

1 \(\dfrac{N}{s}\)
2 \(\frac{{kg}}{s}\)
3 \(\frac{{kg}}{m}\)
4 \(\dfrac{N}{m}\)
PHXI14:OSCILLATIONS

364064 Assume that you are examining the characteristics of the suspension system of a \(2000\;kg\) automobile. The suspension "sags" \(25\,cm\) when the weight of the entire automobile is placed on it. In addition, the amplitude of oscillation decreases by \(50 \%\) in \(100\,\sec \). Estimate the value of \(b\) for the shock absorber system of one wheel, assuming each wheel supports \(500\;kg\).

1 \(2.56\;kg/s\)
2 \(3.72\;kg/s\)
3 \(6.93\;kg/s\)
4 \(9.12\;kg/s\)
PHXI14:OSCILLATIONS

364065 A pendulum with time period of \(1\;s\) is losing energy due to damping. At certain time its energy is \(45\;J\). If after completing 15 oscillations, its energy has become \(15\;J\), its damping constant (in \({s^{ - 1}}\)) is:

1 \(\dfrac{1}{2}\)
2 \(\dfrac{1}{30} \ln 3\)
3 \(2\)
4 \(\dfrac{1}{15} \ln 3\)
PHXI14:OSCILLATIONS

364066 Which of the following figure represents (s) damped simple harmonic motion?
supporting img

supporting img

supporting img

supporting img

1 Fig. 2 alone
2 Fig. 1 alone
3 Fig. 3 and 4
4 Fig. 4 alone
PHXI14:OSCILLATIONS

364067 How long does it take for the amplitude of the damped oscillations to drop to half its initial value. For the damped oscillator of shown in the figure. \(m = 250\;g,k = 85\;N/m\), and
\(b = 70\;g/s\).
supporting img

1 \(3.15\,\sec \)
2 \(4.95\,\sec \)
3 \(8.15\,\sec \)
4 \(6.25\,\sec \)
PHXI14:OSCILLATIONS

364063 In damped SHM, the SI unit of damping constant is

1 \(\dfrac{N}{s}\)
2 \(\frac{{kg}}{s}\)
3 \(\frac{{kg}}{m}\)
4 \(\dfrac{N}{m}\)
PHXI14:OSCILLATIONS

364064 Assume that you are examining the characteristics of the suspension system of a \(2000\;kg\) automobile. The suspension "sags" \(25\,cm\) when the weight of the entire automobile is placed on it. In addition, the amplitude of oscillation decreases by \(50 \%\) in \(100\,\sec \). Estimate the value of \(b\) for the shock absorber system of one wheel, assuming each wheel supports \(500\;kg\).

1 \(2.56\;kg/s\)
2 \(3.72\;kg/s\)
3 \(6.93\;kg/s\)
4 \(9.12\;kg/s\)
PHXI14:OSCILLATIONS

364065 A pendulum with time period of \(1\;s\) is losing energy due to damping. At certain time its energy is \(45\;J\). If after completing 15 oscillations, its energy has become \(15\;J\), its damping constant (in \({s^{ - 1}}\)) is:

1 \(\dfrac{1}{2}\)
2 \(\dfrac{1}{30} \ln 3\)
3 \(2\)
4 \(\dfrac{1}{15} \ln 3\)
PHXI14:OSCILLATIONS

364066 Which of the following figure represents (s) damped simple harmonic motion?
supporting img

supporting img

supporting img

supporting img

1 Fig. 2 alone
2 Fig. 1 alone
3 Fig. 3 and 4
4 Fig. 4 alone
PHXI14:OSCILLATIONS

364067 How long does it take for the amplitude of the damped oscillations to drop to half its initial value. For the damped oscillator of shown in the figure. \(m = 250\;g,k = 85\;N/m\), and
\(b = 70\;g/s\).
supporting img

1 \(3.15\,\sec \)
2 \(4.95\,\sec \)
3 \(8.15\,\sec \)
4 \(6.25\,\sec \)
PHXI14:OSCILLATIONS

364063 In damped SHM, the SI unit of damping constant is

1 \(\dfrac{N}{s}\)
2 \(\frac{{kg}}{s}\)
3 \(\frac{{kg}}{m}\)
4 \(\dfrac{N}{m}\)
PHXI14:OSCILLATIONS

364064 Assume that you are examining the characteristics of the suspension system of a \(2000\;kg\) automobile. The suspension "sags" \(25\,cm\) when the weight of the entire automobile is placed on it. In addition, the amplitude of oscillation decreases by \(50 \%\) in \(100\,\sec \). Estimate the value of \(b\) for the shock absorber system of one wheel, assuming each wheel supports \(500\;kg\).

1 \(2.56\;kg/s\)
2 \(3.72\;kg/s\)
3 \(6.93\;kg/s\)
4 \(9.12\;kg/s\)
PHXI14:OSCILLATIONS

364065 A pendulum with time period of \(1\;s\) is losing energy due to damping. At certain time its energy is \(45\;J\). If after completing 15 oscillations, its energy has become \(15\;J\), its damping constant (in \({s^{ - 1}}\)) is:

1 \(\dfrac{1}{2}\)
2 \(\dfrac{1}{30} \ln 3\)
3 \(2\)
4 \(\dfrac{1}{15} \ln 3\)
PHXI14:OSCILLATIONS

364066 Which of the following figure represents (s) damped simple harmonic motion?
supporting img

supporting img

supporting img

supporting img

1 Fig. 2 alone
2 Fig. 1 alone
3 Fig. 3 and 4
4 Fig. 4 alone
PHXI14:OSCILLATIONS

364067 How long does it take for the amplitude of the damped oscillations to drop to half its initial value. For the damped oscillator of shown in the figure. \(m = 250\;g,k = 85\;N/m\), and
\(b = 70\;g/s\).
supporting img

1 \(3.15\,\sec \)
2 \(4.95\,\sec \)
3 \(8.15\,\sec \)
4 \(6.25\,\sec \)
PHXI14:OSCILLATIONS

364063 In damped SHM, the SI unit of damping constant is

1 \(\dfrac{N}{s}\)
2 \(\frac{{kg}}{s}\)
3 \(\frac{{kg}}{m}\)
4 \(\dfrac{N}{m}\)
PHXI14:OSCILLATIONS

364064 Assume that you are examining the characteristics of the suspension system of a \(2000\;kg\) automobile. The suspension "sags" \(25\,cm\) when the weight of the entire automobile is placed on it. In addition, the amplitude of oscillation decreases by \(50 \%\) in \(100\,\sec \). Estimate the value of \(b\) for the shock absorber system of one wheel, assuming each wheel supports \(500\;kg\).

1 \(2.56\;kg/s\)
2 \(3.72\;kg/s\)
3 \(6.93\;kg/s\)
4 \(9.12\;kg/s\)
PHXI14:OSCILLATIONS

364065 A pendulum with time period of \(1\;s\) is losing energy due to damping. At certain time its energy is \(45\;J\). If after completing 15 oscillations, its energy has become \(15\;J\), its damping constant (in \({s^{ - 1}}\)) is:

1 \(\dfrac{1}{2}\)
2 \(\dfrac{1}{30} \ln 3\)
3 \(2\)
4 \(\dfrac{1}{15} \ln 3\)
PHXI14:OSCILLATIONS

364066 Which of the following figure represents (s) damped simple harmonic motion?
supporting img

supporting img

supporting img

supporting img

1 Fig. 2 alone
2 Fig. 1 alone
3 Fig. 3 and 4
4 Fig. 4 alone
PHXI14:OSCILLATIONS

364067 How long does it take for the amplitude of the damped oscillations to drop to half its initial value. For the damped oscillator of shown in the figure. \(m = 250\;g,k = 85\;N/m\), and
\(b = 70\;g/s\).
supporting img

1 \(3.15\,\sec \)
2 \(4.95\,\sec \)
3 \(8.15\,\sec \)
4 \(6.25\,\sec \)