A spring of natural length l 0 is stretched on a smooth table between two fixed points a distance η l 0 apart and a particle of mass m is attached to its middle (Figure 5.148). The particle is dis

Question

A spring of natural length l 0 ​ is stretched on a smooth table between two fixed points a distance η l 0 ​ apart and a particle of mass m is attached to its middle (Figure 5.148). The particle is displaced towards one fixed point through a distance not exceeding 2 1 ​ ( η − 1 ) l 0 ​ and released. What is its period of oscillation, in terms of k and m ?

TestHub · Accepted Answer

Each half has stiffness 2 k and is stretched, so the net restoring force is 4 k x . ω = 4 k / m ​ and T = π m / k ​ , independent of η and of the displacement.

Physics - SHM Question with Solution | TestHub

Options:

Doubts & Discussion