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A 5 A 10-kg mass is attached to a spring having a spring constant of 140 N/m. The mass is started in motion from the equilibrium position with an initial velocity of 1 m/sec in the upward direction and with an applied external force F(t) = 5 sin t. Find the subsequent motion of the mass if the force due to air resistance is −90u N.00-g object is attached to a spring having a spring constant of 6 N/m and allowed to come to rest. The object is set into motion by applying an external force F(t) = 24 cos 3t – 33 sin 3t. Find the subsequent motion of the mass if the surrounding medium offers a resistance of −3,000,000,000u nN. Find also the velocity of the object at t = 0.3 sec.​

Sagot :

Answer:

A 5 A 10-kg mass is attached to a spring having a spring constant of 140 N/m. The mass is started in motion from the equilibrium position with an initial velocity of 1 m/sec in the upward direction and with an applied external force F(t) = 5 sin t. Find the subsequent motion of the mass if the force due to air resistance is −90u N.00-g object is attached to a spring having a spring constant of 6 N/m and allowed to come to rest. The object is set into motion by applying an external force F(t) = 24 cos 3t – 33 sin 3t. Find the subsequent motion of the mass if the surrounding medium offers a resistance of −3,000,000,000u nN. Find also the velocity of the object at t = 0.3 sec.​