Saved Bookmarks
| 1. |
The amplitude of a simple harmonic oscillation is doubled. How does this affect (i) periodic time (ii) maximum velocity (iii) maximum acceleration and (iv) maximum energy |
|
Answer» (i) As time period of oscillation os simple pendulum `T=2pisqrt((l)/(g))` is independent of amplitude of oscillation, hence time period of oscillation does no change with the change in the amplitude of oscillation. (ii) Max. velocity, `v_(0)=omegaA`. When amplitude A is doubled, then max. velocity becomed double. (iii) Max. acc., `a_(max)=omega^(2)A.` When amplitude A is doubled, then max, acceleration becomes double. (iv) Total energy `E=(1)/(2)m(2piv)^(2)A^(2)=2pi^(2)mv^(2)A^(2)` When amplitude A is doubled, then the energy of oscillator becomes four times. |
|