A steel sphere of mass 0.02 kg attains a terminal speed v = 0.5 m/s when dropped into a tall cylinder of oil. The same sphere is then attached to the free end of an ideal vertical spring of spring constant 8 N/m. The sphere is immersed in the same oil and set into vertical oscillation. Find (i) the damping constant (ii) the angular frequency of the damped SHM. (iii;Hence, write the equation for displacement of the damped SHM as a function of time, assuming that the initial amplitude is 10 cm. [g = 10 m/s²] %3D
A steel sphere of mass 0.02 kg attains a terminal speed v = 0.5 m/s when dropped into a tall cylinder of oil. The same sphere is then attached to the free end of an ideal vertical spring of spring constant 8 N/m. The sphere is immersed in the same oil and set into vertical oscillation. Find (i) the damping constant (ii) the angular frequency of the damped SHM. (iii;Hence, write the equation for displacement of the damped SHM as a function of time, assuming that the initial amplitude is 10 cm. [g = 10 m/s²] %3D
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![A steel sphere of mass 0.02 kg attains a
terminal speed v = 0.5 m/s when dropped into a
tall cylinder of oil. The same sphere is then
attached to the free end of an ideal vertical
spring of spring constant 8 N/m. The sphere is
immersed in the same oil and set into vertical
oscillation. Find (i) the damping constant (ii)
the angular frequency of the damped SHM.
(iii;Hence, write the equation for displacement
of the damped SHM as a function of time,
assuming that the initial amplitude is 10 cm. [g
= 10 m/s?]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc990cb40-2ea3-40a2-a2cf-030b9d99d928%2F85953c7c-4707-4c1f-b38f-2d16683dbfec%2Focufom_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A steel sphere of mass 0.02 kg attains a
terminal speed v = 0.5 m/s when dropped into a
tall cylinder of oil. The same sphere is then
attached to the free end of an ideal vertical
spring of spring constant 8 N/m. The sphere is
immersed in the same oil and set into vertical
oscillation. Find (i) the damping constant (ii)
the angular frequency of the damped SHM.
(iii;Hence, write the equation for displacement
of the damped SHM as a function of time,
assuming that the initial amplitude is 10 cm. [g
= 10 m/s?]
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