Physics Elasticity Question 33
Question: A particle of mass m is under the influence of a force F which varies with the displacement x according to the relation $ F=-kx+F _{0} $ in which k and $ F _{0} $ are constants. The particle when disturbed will oscillate
[UPSEAT 2001]
Options:
A) about $ x=0,,\text{with }\omega \ne \sqrt{k/m} $
B) about $ x=0,,\text{with }\omega =\sqrt{k/m} $
C) about $ x=F _{0}/k,,\text{with }\omega =\sqrt{k/m} $
D) about $ x=F _{0}\text{/}k,\text{with }\omega \ne \sqrt{k/m} $
Show Answer
Answer:
Correct Answer: C
Solution:
Restoring force is zero at mean position $ F=-Kx+F _{0} $
Therefore $ 0=-Kx+F _{0} $
Therefore $ x=\frac{F _{0}}{K} $ i.e. the particle will oscillate about $ x=\frac{F _{0}}{K} $
BETA
