please solve it as soon as possible and be sure of your answers
please solve it as soon as possible and be sure of your answers A cylinder of mass m and mass moment of inertia J is free to roll without slipping but is restrained by 3 springs of stiffinesses k....
1 Q2. Figure 2 shows a system in which mass m is connected with a cylinder of mass m2 and moment of inertia Jo through a horizontal spring k. The cylinder is m1 rolling on the rough surface without slipping. (1) Find its total kinetic energy, total potential energy TN and Lagrangian, Figure 2 (2) Derive the equations of motion using Lagrangian equation method, and (3) Calculate its natural frequencies 1 Q2. Figure 2 shows a system in which mass...
the cylinder mass m2 dan the inertia moment to horizontal axis O is Io. that stepped cylinder is rolling without slip on the horizontal surface. mass m1 is translatiom moving without friction. so find : a) the equation of motion from that system (EoM) b) the persoanl frequency (omega n) c) the attentuation's coefficient "c" ,that makes the system critically vague VCI TTTTTTTTTTT male
A mass m hangs on the end of a cord around a pulley of radius a and moment of inertia I, rotating with an angular velocity w, as shown in the figure below. The rim of the pulley is attached to a spring (with constant k). Assume small oscillations so that the spring remains essentially horizontal and neglect friction so that the conservation of energy of the system yields: 1/2mv^2 +1/2Iw^2+1/2kx^2-mgx=C, where w=v/a, C=const, x+displacement from equilibrium Find the natural...
A cylinder with moment of inertia I about its center of mass, mass m, and radius r has a string wrapped around it which is tied to the ceiling (Figure 1) . The cylinder's vertical position as a function of time is y(t).At time t=0 the cylinder is released from rest at a height h above the ground.Part BIn similar problems involving rotating bodies, you will often also need the relationship between angular acceleration, ?, and linear acceleration, a. Find...