QUESTION 1: MULTIPLE CHOICE 2 out of 2 points The state variable model of the shown mechanical system is given by $F(t)$ m x(t) m=20 kg c=40 Ns/m k m k=5000 N/m
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The state variables are the variables that describe the current state of the system. In this case, the state variables are the position (x) and the velocity (v) of the mass. Show more…
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A block with a mass of 20 kg is attached to a spring with a force constant k = 50 N/m. What is the magnitude of the acceleration of the block when the spring is stretched 4 m from its equilibrium position? (A) 4 $\mathrm{m} / \mathrm{s}^{2}$ (B) 6 $\mathrm{m} / \mathrm{s}^{2}$ (C) 8 $\mathrm{m} / \mathrm{s}^{2}$ (D) 10 $\mathrm{m} / \mathrm{s}^{2}$
Problem 3: A mass m = 4.45 kg is at the end of a horizontal spring on a frictionless horizontal surface. The mass is oscillating with an amplitude A = 8.5 cm and a frequency f = 1.85 Hz. Part (a) Write an equation for the spring constant k. Part (b) Calculate the spring constant k, in Newtons per meter. Part (c) Write an equation for the total mechanical energy, E, of the motion. Your expression should be in terms of the variables in the original problem statement. Part (d) Calculate the total mechanical energy E, in joules.
Kritika M.
A body of mass $1 \mathrm{~kg}$ suspended from the free end of a spring having force constant $400 \mathrm{Nm}^{-1}$ is executing S.H.M. When the total energy of the system is 2 joule, the maximum acceleration is $\ldots \ldots . \mathrm{ms}^{-2}$. (A) $8 \mathrm{~ms}^{-2}$ (B) $10 \mathrm{~ms}^{-2}$ (C) $40 \mathrm{~ms}^{-2}$ (D) $40 \mathrm{cms}^{-2}$
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