1. A 3 kg object is attached to spring and will stretch the spring 392 mm by itself. There is no damping in the system and a forcing function of the form F(t) = 10 cos (t) is attached to the object. If the object is initially displaced 20 cm downward from its equilibrium position and given a velocity of 10 cm/sec upward find the displacement at any time t. Show graph.

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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Vibration Engineering

1. A 3 kg object is attached to spring and will stretch the spring 392 mm by itself. There is no damping in
the system and a forcing function of the form
F(t) = 10 cos (t)
is attached to the object. If the object is initially displaced 20 cm downward from its equilibrium position
and given a velocity of 10 cm/sec upward find the displacement at any time t. Show graph.
2. A 3 kg object is attached to spring and will stretch the spring 392 mm by itself. There is no damping in
the system and a forcing function of the form
F(t) = 10 cos (30t)
is attached to the object. If the object is initially displaced 20 cm downward from its equilibrium position
and given a velocity of 10 cm/sec upward find the displacement at any time t. Show graph.
3. A 3 kg object is attached to spring and will stretch the spring 392 mm by itself. There is no damping in
the system and a forcing function of the form
F(t) = 10 cos (17t)
is attached to the object. If the object is initially displaced 20 cm downward from its equilibrium position
and given a velocity of 10 cm/sec upward find the displacement at any time t. Show graph.
4. A mass of 10 kg is suspended from one end of a helical spring, the other end being fixed. The stiffness
of the spring is 10 N/mm. If a periodic force of 150 cos wt Newton is applied at the mass in the vertical
direction so resonance will occur. Find displacement at any time. Show graph.
Transcribed Image Text:1. A 3 kg object is attached to spring and will stretch the spring 392 mm by itself. There is no damping in the system and a forcing function of the form F(t) = 10 cos (t) is attached to the object. If the object is initially displaced 20 cm downward from its equilibrium position and given a velocity of 10 cm/sec upward find the displacement at any time t. Show graph. 2. A 3 kg object is attached to spring and will stretch the spring 392 mm by itself. There is no damping in the system and a forcing function of the form F(t) = 10 cos (30t) is attached to the object. If the object is initially displaced 20 cm downward from its equilibrium position and given a velocity of 10 cm/sec upward find the displacement at any time t. Show graph. 3. A 3 kg object is attached to spring and will stretch the spring 392 mm by itself. There is no damping in the system and a forcing function of the form F(t) = 10 cos (17t) is attached to the object. If the object is initially displaced 20 cm downward from its equilibrium position and given a velocity of 10 cm/sec upward find the displacement at any time t. Show graph. 4. A mass of 10 kg is suspended from one end of a helical spring, the other end being fixed. The stiffness of the spring is 10 N/mm. If a periodic force of 150 cos wt Newton is applied at the mass in the vertical direction so resonance will occur. Find displacement at any time. Show graph.
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