Two identical springs of spring constant k are attached to a block ofmass m and to fixed supports as shown in the figure. The time period ofoscillation is

A system consist of two springs and a mass m=1 kg 𝑚=1 kg as shown in figure. If mass m is displaced slightly along vertical and released, the system oscillates with a period of 2s. Then the spring constant k is

Two light springs (1) and (2) of spring constant k and 2k are connected in series as shown in figure. A block of mass M is hanging vertically in equilibrium. If Δx is the elongation in spring (2) in cm, then value of Δx will be  (Given, Mgk = 8 cm)Given, 𝑀𝑔𝑘 = 8 cm

A rod of length l,𝑙, mass m are connected to two springs of spring constant K𝐾 each. Find the frequency of small oscillation

wo springs with negligible masses and force constants k1=200 N/m𝑘1=200 N/m and k2=160 N/m𝑘2=160 N/m are attached to the block of mass m=10 kg𝑚=10 kg as shown in figure. Initially the block is at rest, at the equilibrium position in which both springs are neither stretched nor compressed. At time t=0,𝑡=0, sharp impulse of 50 N−s50 N-s is given to the block with a hammer along the spring. Then the amplitude of spring will be......m......m.

A box of mass M is attached to a spring and oscillates parallelly to a perfectly smooth inclined plane of angle Z. The spring has constant K. Find the period of oscillation if M=1 Kg, K=1 N/m and Z=30°. Your answer in X.XX s.