Consider two block system (l0/2) and 2l0 . If I0 is removed suddenly, find the angular frequency and amplitude of 2l0 cos 2( (π y/β ) ) .

Question

Consider two block system (l0/2) and 2l0 . If I0 is removed suddenly, find the angular frequency and amplitude of 2l0 cos 2( (π y/β ) ) . (A)  l0 cos 2( (π y/β ) ) and (l0/2) cos 2( (2π y/β ) )  (B)  4l0 cos 2( (π y/β ) ) and C1  (C)  C2 and (C1/C2)  (D)  (a/b) and (2a/b)

Tardigrade Admin · Accepted Answer

As m2 oscillates, angular frequency is ω =√(k/m2) or T=2π √(m2/k) Amplitude = extra elongation due to m1 ∴ a=(m1g/k)

Q. Consider two block system $\frac{l _{0}}{2}$ and $2 l_{0}$ . If $I_{0}$ is removed suddenly, find the angular frequency and amplitude of $2 l_{0} cos^{2} (\frac{π y}{β})$ .

$l_{0} cos^{2} (\frac{π y}{β})$ and $\frac{l _{0}}{2} cos^{2} (\frac{2 π y}{β})$

$4 l_{0} cos^{2} (\frac{π y}{β})$ and $C_{1}$

$C_{2}$ and $\frac{C _{1}}{C _{2}}$

$\frac{a}{b}$ and $\frac{2 a}{b}$

As $m_{2}$ oscillates, angular frequency is $ω = \frac{k}{m _{2}}$ or $T = 2 π \frac{m _{2}}{k}$ Amplitude = extra elongation due to $m_{1}$ $∴$ $a = \frac{m _{1} g}{k}$

Q. Consider two block system 2l0​​ and 2l0​ . If I0​ is removed suddenly, find the angular frequency and amplitude of 2l0​cos2(βπy​) .

l0​cos2(βπy​) and 2l0​​cos2(β2πy​)

4l0​cos2(βπy​) and C1​

C2​ and C2​C1​​

ba​ and b2a​