1. Consider the system below in motion as indicated in the figure below. The two masses...

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1. Consider the system below in motion as indicated in the figure below. The two masses are connected by a string. The hanging mass moves downwards while the one on the table follows a spiral path. The figure on the right is the top view and the one on the left is the top-side view. h (a) Describe the constraints in the system. Express these in forms of equations. (b) How many degrees of freedom the system possess? (c) Select a set of generalized coordinates. (d) For the mass on the table moving along a spiral path. sketch the "real" displacement vector dr and the "virtual" displacement vector dr. (e) Are any two of the "real" work & the "virtual" work acting on the mass on the table due to the constraint for ces zero! (f) Find the "real" work and the virtual work" on the system due to constraint forces. (g) Find the equations of motion of the two masses of the above system using D'Alembert principle. Part of this was a test problem last year. 1. Consider the system below in motion as indicated in the figure below. The two masses are connected by a string. The hanging mass moves downwards while the one on the table follows a spiral path. The figure on the right is the top view and the one on the left is the top-side view. h (a) Describe the constraints in the system. Express these in forms of equations. (b) How many degrees of freedom the system possess? (c) Select a set of generalized coordinates. (d) For the mass on the table moving along a spiral path. sketch the "real" displacement vector dr and the "virtual" displacement vector dr. (e) Are any two of the "real" work & the "virtual" work acting on the mass on the table due to the constraint for ces zero! (f) Find the "real" work and the virtual work" on the system due to constraint forces. (g) Find the equations of motion of the two masses of the above system using D'Alembert principle. Part of this was a test problem last year.

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