17. A mass of one kg is attached to a spring with constant k = 4 N/m. An external force F(t) - cos wt - 2 sin wt n is applied to the mass. Find the displacement y for t> 0 if w equals the natural frequency of the spring-mass system. Assume that the mass is initially displaced 3 m above equilibrium and given an upward velocity of 450 cm/s. 18. An object is in simple harmonic motion with frequency wo, with y(0) = yo and y' (0) = vo. Find its displacement for t > 0. Also, find the amplitude of the oscillation and give formulas for the sine and cosine of the initial phase angle.
17. A mass of one kg is attached to a spring with constant k = 4 N/m. An external force F(t) - cos wt - 2 sin wt n is applied to the mass. Find the displacement y for t> 0 if w equals the natural frequency of the spring-mass system. Assume that the mass is initially displaced 3 m above equilibrium and given an upward velocity of 450 cm/s. 18. An object is in simple harmonic motion with frequency wo, with y(0) = yo and y' (0) = vo. Find its displacement for t > 0. Also, find the amplitude of the oscillation and give formulas for the sine and cosine of the initial phase angle.
Related questions
Question
18
Assume that there's no damping.
Transcribed Image Text:17.
=
A mass of one kg is attached to a spring with constant k = 4 N/m. An external force F(t)
- cos wt - 2 sin wt n is applied to the mass. Find the displacement y for t > 0 if w equals the
natural frequency of the spring-mass system. Assume that the mass is initially displaced 3 m
above equilibrium and given an upward velocity of 450 cm/s.
18.
An object is in simple harmonic motion with frequency wo, with y(0) = yo and y' (0) = vo. Find
its displacement for t > 0. Also, find the amplitude of the oscillation and give formulas for the
sine and cosine of the initial phase angle.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 2 images
