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3. [10 Marks The dynamics of a plane pendulum subject to some external force is described...
thx! 3. 10 Marks The dynamics of a plane pendulum subject to some external force is described by g sin x = u(t) where is the angular displacement, l is the length of its link, and g is the standard gravity (a) 2 Marks] What is the equilibrium of the pendulum with u(t) = F being a constant? (b) 2 Marks] Write down the linearized equation for small angular displacement (c) [6 Marks] Derive the harmonic response (t) X sin(wt)...
please answer all prelab questions, 1-4. This is the prelab manual, just in case you need background information to answer the questions. The prelab questions are in the 3rd photo. this where we put in the answers, just to give you an idea. Lab Manual Lab 9: Simple Harmonic Oscillation Before the lab, read the theory in Sections 1-3 and answer questions on Pre-lab Submit your Pre-lab at the beginning of the lab. During the lab, read Section 4 and...
Please help answer all of question 6, thanks! Rotational Dynamics Assignment (200 Points) • Due Friday, July 31 at 5:00 pm Equations are in a separate document entitled “Equations for Rotational Dynamics Assignment” • Moments of inertia formulas are provided on the last page of this document • Show all of your work when solving equations. It is not sufficient to merely have a correct numerical answer. You need to have used legitimate equations and algebra. You also need to...
Rotational Dynamics Assignment (200 Points) • Due Friday, July 31 at 5:00 pm Equations are in a separate document entitled “Equations for Rotational Dynamics Assignment” • Moments of inertia formulas are provided on the last page of this document • Show all of your work when solving equations. It is not sufficient to merely have a correct numerical answer. You need to have used legitimate equations and algebra. You also need to have correctly used the data. • Units must...
qm 2019.3 3. The Hamiltonian corresponding to the magnetic interaction of a spin 1/2 particle with charge e and mass m in a magnetic field B is À eB B. Ŝ, m where Ŝ are the spin angular momentum operators. You should make use of expres- sions for the spin operators that are given at the end of the question. (i) Write down the energy eigenvalue equation for this particle in a field directed along the y axis, i.e. B...