Calculate the natural frequency of vibrations. Check if the resonance phenomenon occurs. Determine the amplitudes of deflection and inertia forces occurring in the given frame system. The frequency of the excitation force is 𝑓⁡𝑣 =5⁢𝐻⁡𝑧, and its maximum value is 𝑃 =100⁢𝑁. The data is 𝐸 =210⁢𝐺⁡𝑃⁢𝑎,𝐼 =10⁢𝑐⁢𝑚4,𝑚 =10⁢𝑘⁢𝑔.

Calculate the natural frequency of vibrations. Check if resonance phenomenon occurs. Determine the amplitude of displacement and the inertia force acting on the mass 𝑚 =10⁢𝑘⁢𝑔, if the circular frequency of the forcing force is 𝑣 =10⁢𝑟⁢𝑎⁢𝑑/𝑠, and its maximum value is 𝑃 =100⁢𝑁. Data: 𝐸 =210⁢𝐺⁡𝑃⁢𝑎,𝐼 =10⁢𝑐⁢𝑚4.