Question

A block of mass m is attached to a spring of spring constant k and has a natural frequency $\omega$t ($\neq$ $\omega$ 0) is applied to the oscillator. The time displacement of the oscillator will be proportional to

• A.
• B. $\frac { 1 } { \mathrm {~m} \left( \omega _ { 0 } ^ { 2 } - \omega ^ { 2 } \right) }$
• C. $\frac { 1 } { \mathrm {~m} \left( \omega _ { 0 } ^ { 2 } + \omega ^ { 2 } \right) }$
• D.

Answer 1

Answer: (B)

$\frac { 1 } { \mathrm {~m} \left( \omega _ { 0 } ^ { 2 } - \omega ^ { 2 } \right) }$

Answer 2

For forced oscillation the time displacement at any instant is given by