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A 5 kg collar is attached to a spring of...

A 5 kg collar is attached to a spring of spring constant 500 N `m^(-1)`. It slides without friction over a horizontal rod. The collar is displaced from its equilibrium position by 10.0 cm and released. Calculate
(a) the period of oscillation,
(b) the maximum speed and
(c) maximum acceleration of the collar.

Text Solution

Verified by Experts

Here `m=5kg,k=500Nm^(-1),A=10.0cm=0.10m`
(i) Period of oscillation,
`T=2pisqrt((m)/(k))=2pisqrt((5)/(500))=2xx3.14xx(1)/(10)s=0.628s`
(ii) The maximum speed of the collar,
`v_(max)=omega^(2)A=(k)/(m)A=(500)/(5)xx0.10=10ms^(-2)`
(iii) The maximum acceleration of the collar,
`a_(max)=omega^(2)A=(k)/(m)A=(500)/(5)xx0.10=10ms^(-2)`
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