Two springs with negligible masses and force constant of k 1 = 200 N m − 1 and k 2 = 160 N m − 1 are attached to the block of mass m = 10 kg as shown in the figure. Initially, the block is at rest, at

Question

Two springs with negligible masses and force constant of $k_{1} = 200 {N m}^{- 1}$ and $k_{2} = 160 {N m}^{- 1}$ are attached to the block of mass $m = 10 kg$ as shown in the figure. Initially, the block is at rest, at the equilibrium position in which both springs are neither stretched nor compressed. At time $t = 0, the$ sharp impulse of $50 N s$ is given to the block with a hammer along with the spring.

TestHub · Accepted Answer

T = period = 2 π m K 1 + K 2 = 2 π 1 0 3 6 0 = π 3 s The maximum velocity is always at equilibrium position since at any other point there will be a restoring force attempting to slow the mass. ∴ V max = impulse mass = 5 0 1 0 = 5 m s - 1 A = amplittude = V max ω = 5 2 π π 3 = 5 6 = 0.83 m

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