A uniform ball of mass m rolls down a rough wedge of mass M and angle a, which itself can slide on a smooth horizontal t

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A Uniform Ball Of Mass M Rolls Down A Rough Wedge Of Mass M And Angle A Which Itself Can Slide On A Smooth Horizontal T 1 (47.75 KiB) Viewed 37 times

A uniform ball of mass m rolls down a rough wedge of mass M and angle a, which itself can slide on a smooth horizontal table as shown in figure 4.1 below. m ů M Figure 4.1: ball rolling on a sliding wedge The whole system undergoes planar motion. 4.1. How many degrees of freedom has this system? [1] 4.2. If the kinetic energy of the system is given by: }Mỹ + m (6 + 3y + 2xy cosa) and the potential energy of the system by: -mgy Sin a Find the Lagrangian. [1] Page 14 4.3. Obtain the Lagrange's equations of motion. [8] 4.4. For the special case in which M = (3m/2), find (0) the acceleration of the wedge. [3]