My question and answer is in the image. Can you please check my work?A 2 kg mass is attached to a spring with spring constant 50 N/m. The mass is driven by an external force equal tof(t) = 2 sin(5t). The mass is initially released from rest from a point 1 m below the equilibrium position. (Use theconvention that displacements measured below the equilibrium position are positive.)(a) Write the initial-value problem which describes the position of the mass.2y"+50y=2cos(5t)(b) Find the solution to your initial-value problem from part (a).(1+(1/2)tcos(t))cos(5t)-(1/2)tcos(t)(c) Circle the letter of the graph below that could correspond to the solution.B(d) What is the name for the phenomena this system displays?Resonance 3. A 2 kg mass is attached to a spring with spring constant 50 N/m. The mass is driven by an external force equal tof(t) = 2 sin(5t). The mass is initially released from rest from a point 1 m below the equilibrium position. (Use theconvention that displacements measured below the equilibrium position are positive.)(a) Write the initial-value problem which describes the position of the mass.+Soy=acs(5)(b) Find the solution to your initial-value problem from part (a).(c) Circle the letter of the graph below that conld correspond to the solution.(a)X(d) What is the name for the phenomena this system displays?Cesonance

Given data, Attached mass, m = 2 kg Spring constant, k = 50 N/m External force, F=2sin5t

Answered: A 2 kg mass is attached to a spring…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

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My question and answer is in the image. Can you please check my work?

A 2 kg mass is attached to a spring with spring constant 50 N/m. The mass is driven by an external force equal to
f(t) = 2 sin(5t). The mass is initially released from rest from a point 1 m below the equilibrium position. (Use the
convention that displacements measured below the equilibrium position are positive.)
(a) Write the initial-value problem which describes the position of the mass.

2y"+50y=2cos(5t)

(b) Find the solution to your initial-value problem from part (a).

(1+(1/2)tcos(t))cos(5t)-(1/2)tcos(t)

(d) What is the name for the phenomena this system displays?

Resonance

3. A 2 kg mass is attached to a spring with spring constant 50 N/m. The mass is driven by an external force equal to
f(t) = 2 sin(5t). The mass is initially released from rest from a point 1 m below the equilibrium position. (Use the
convention that displacements measured below the equilibrium position are positive.)
(a) Write the initial-value problem which describes the position of the mass.
+Soy=acs(5)
(b) Find the solution to your initial-value problem from part (a).
(c) Circle the letter of the graph below that conld correspond to the solution.
(a)
X
(d) What is the name for the phenomena this system displays?
Cesonance

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