Question

A 2.5 kg collar attached to a spring of foce constant 1000 `Nm^(-1)` slides without friction on a horizontal rod. The collar is displaced from its equilibrium position by 5.0 cm and released. Calculate (i) the period of oscillation (ii) the maximum speed of the collar and (iii) the maximum acceleration of the collar.

Answer 1

The speed of oscillation , `T=2pisqrt((m)/(k))=2pisqrt((2.5)/(250))=(2xx3.14)/(10)=0.63 s`
Maximum speed,
`v_(m)=Aomega=0.2sqrt((k)/(m))=0.2xxsqrt((250)/(2.5))=0.2 xx10=2 ms^(-1)`