A 5 kg colloar is attached to a sprinig of spring constatn 500`Nm^(-1)` . It slides without friction over a horizontal rod. The collar is displaced from its equilibrium position by oscillations (b) The maximum speed and © maximum acceleration of the collar.

Explanation

Here, `m=5kg, k=500Nm^(-1)`,
`a=10cm=0.10m`
(a) `T=2pisqrt((m)/(k))=2pisqrt((5)/(500))=(2pi)/(10)s=0.628s`
(b) `omega=(2pi)/(T)=(2pi)/((2pi//10))=10s^(-1)`
Maximum velocity `=omegaa=10xx0.10`
`=1ms^(-1)`
(c) Maximum acceleration `=omega^(2)a`
`=(10)^(2)xx0.1=10ms^(-2)`