To find the distance d we can use the equation d=√2.√1-cosθ.
Given that, the distance, d, of weight attached to the spring from its equilibrium as a function of time t in seconds.
The formula for angular momentum is θ = ωT.
Where, ω=angular momentum, T=time and θ =angle.
You can convert it into time, by using θ = ωT and we can plot the graph of d against θ or ωT as ω is constant.
As a result, we have the desired equation.
d²=(a-acosθ)²-sin²θ
⇒d=√(a-acosθ)²-sin²θ
⇒d=√a(2-2cosθ)
⇒d=√2a√1-cosθ
Let θ=0, 30, 60, 90,.... and a=1
d=√2√1-cos90
d=1.414
Similarly, we can find the distance for all the angles.
Therefore, to find the distance d we can use the equation d=√2.√1-cosθ.
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