A vibrating system with a mass of 12 kg and a sprinf with a stiffness of 120 N/m. The mass is started in motion from equilibrium position with an initial velocity of 2 m/s in the upward direction and with an applied external force F(t) = 7sint. While in motion the mass is subjected to damping with damping constant of 72 kg/s. 1. Find the position of the mass (natural response) at any given time. 2. Find the position of the mass (forcedresponse) at any given time. 3. Find the position of the mass (complete response) at any given time. 4. Find the position of the mass (natural response) after 3s. 5. Find the velocity of the mass (natural response) after 3s. 6. Find the position of the mass (forced response) after 3s. 7. Find the velocity of the mass (forced response) after 3s. 8. Find the position of the mass (complete response) after 2s.
A vibrating system with a mass of 12 kg and a sprinf with a stiffness of 120 N/m. The mass is started in motion from equilibrium position with an initial velocity of 2 m/s in the upward direction and with an applied external force F(t) = 7sint. While in motion the mass is subjected to damping with damping constant of 72 kg/s.
1. Find the position of the mass (natural response) at any given time.
2. Find the position of the mass (forcedresponse) at any given time.
3. Find the position of the mass (complete response) at any given time.
4. Find the position of the mass (natural response) after 3s.
5. Find the velocity of the mass (natural response) after 3s.
6. Find the position of the mass (forced response) after 3s.
7. Find the velocity of the mass (forced response) after 3s.
8. Find the position of the mass (complete response) after 2s.
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