"Never stop Thinking, Never stop Questioning; Never stop Growing. To be realize that everything connects to everything else!! - spl BiNal.
Given,
For 1st Condition,
Velocity v=16cm/s
Displacement y=8cm
v=ω√r2−y2
16=ω√r2−64 .......... (i)
Amplitude of the motion r=?
For 2nd Condition,
Velocity v=8cm/s
Displacement y=12cm
8=ω√r2−144 .......... (ii)
From equation (i) and (ii), we get
168=√r2−y2√r2−64
or, 4= r2−64r2−144
or, 4r2−144∗4=r2−64
or, 3r2=512
or, r2=170.66cm
or, r=13.06cm
∴The amplitude of the motion is 13.06cm
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