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An object of mass 0.8kg is attached to o...

An object of mass `0.8kg` is attached to one end of a spring and the system is set into simple harmonic motion. The displacement `x` of the object as a fuction of time is shown in the figure. With the help of the data, determine
(a) the amplitude `A` of the motion,
(b) the angular frequency `omega`,
( c) the spring constant `K`,
(d) the speed of the object at `t = 1.0 s` and
(e) the magnitude of the object's acceleration at `t = 1.0 s`.

A

zero.

B

`1.57 m//s^(2)`

C

`0.197 m//s^(2)`

D

`0.157 m//s^(2)`

Text Solution

Verified by Experts

From the figure
`T=4sec`
`omega=(2pi)/(T)=(pi)/(2)=1.57rad//sec`
`omega=sqrt((k)/(m))rArrk=(0.8)((pi)/(2))^(2)=1.97N//m`
`|a|=omega^(2)x=0.197m//s^(2)`
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