Advertisements
Advertisements
Question
The kinetic energy of a particle, executing SHM is 16 J, when it is in its mean position. If the amplitude of oscillation is 25 cm and the mass of the particle is 5.12 kg, the time period of its oscillation is ____________.
Options
`pi/5"s"`
`2pi "s"`
`20pi "s"`
`5pi "s"`
MCQ
Fill in the Blanks
Solution
The kinetic energy of a particle, executing SHM is 16 J, when it is in its mean position. If the amplitude of oscillation is 25 cm and the mass of the particle is 5.12 kg, the time period of its oscillation is `pi/5"s"`.
Explanation:
`"K.E. at mean position" = "(K.E)"_"max"`
`= "T.E" = 1/2 "m"omega^2 "A"^2 Rightarrow1/ 2 "m"omega^2"A"^2 = 16`
`= omega^2 = (16 xx 2)/(5.12 xx 625 xx 10^-4)= 100 rightarrow omega = 10`
`therefore (2pi)/"T" = 10 Rightarrow "T" = pi/5 "s" `
shaalaa.com
The Energy of a Particle Performing S.H.M.
Is there an error in this question or solution?
