SHMHard

Question

A solid ball of mass m is made to fall from a height H on a pan suspended through a spring of spring constant K as shown in figure. If the ball does not rebound and the pan is massless, then amplitude of oscillation is

Options

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Solution


velocity before collision  =
pan is massless so velocity after collision
=
by energy conservation
mg(x) + kx2
kx2 − 2mgx − 2mgH = 0
x =
at equilibrium kx0 = mg ⇒ x0 = mg/k
mean Amplitude = x − x0 =

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