explain all the procedures that let your answers- Please Explain All The Procedures That Let Your Answers 1 (262.39 KiB) Viewed 19 times
please 🙏 explain all the procedures that let your answers
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please 🙏 explain all the procedures that let your answers
please 
explain all the procedures that let your answers
Distinguish between the following approaches for solving problems. The method of applying Newton's second law from the Lagrangean method. [5] 2.12 22 The method of applying the Lagrangean from the Hamiltonian method. [4] A simple pendulum consists of a particle of mass m on an inextensible massless string of length The kinetic energy of the system in Cartesian coordinates is given by: Tam (x2 + y2) wherex and y may also be expressed in their polar coordinates format asx = £ sin 0, and y=-& cos O respectively. 2.2.1 Assuming the origin is located at the point where the string is attached to the support, show that the Lagrangian of the system is given by. Lame202 + mgl cos e [5] State the number of degrees of freedom and the number (name them also) of the generalised coordinates of the system? [3] 2.2.3 From the Euler-Lagrange equation of motion: 222 az ƏL = 0, dt 'aak da Show that the equation of motion for this system is given by: Ö + 0 = 0 What can you conclude about the system from this equation of motion? [6] [2]
explain all the procedures that let your answersDistinguish between the following approaches for solving problems. The method of applying Newton's second law from the Lagrangean method. [5] 2.12 22 The method of applying the Lagrangean from the Hamiltonian method. [4] A simple pendulum consists of a particle of mass m on an inextensible massless string of length The kinetic energy of the system in Cartesian coordinates is given by: Tam (x2 + y2) wherex and y may also be expressed in their polar coordinates format asx = £ sin 0, and y=-& cos O respectively. 2.2.1 Assuming the origin is located at the point where the string is attached to the support, show that the Lagrangian of the system is given by. Lame202 + mgl cos e [5] State the number of degrees of freedom and the number (name them also) of the generalised coordinates of the system? [3] 2.2.3 From the Euler-Lagrange equation of motion: 222 az ƏL = 0, dt 'aak da Show that the equation of motion for this system is given by: Ö + 0 = 0 What can you conclude about the system from this equation of motion? [6] [2]
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