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Two particles, each of mass M, are hung between three identical springs. Each spring is massless and has spring constant K. Neglect gravity. The masses are connected as shown to a dashpot of negligible mass.The dashpot exerts a force bv, where v is the relative velocity of its two ends. The force opposes the motion. Let x1 and x2 be the displacements of the two masses from equilibrium.
Find the equation of motion for each mass. (Challenge: If you can, Show that the equations of motion can be solved in terms of the new dependent variables y1=x1+x2 and y2=x1-x2. And Show that if the masses are initially at rest and mass1 is given an initial velocity vo, the motion of the masses after a sufficiently long time is x1=x2=(vo/2w)*sinwt and evaluate w.)
A stick with a length of 1m is supported by a knife edge at the 50 cm mark (middle). Two masses m1: 0.4 kg and m2: 0.6 kg are hanging.. m1 20 cm from the left end, Calculate the torque created by m1
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The angular momentum of a flywheel having a rotational inertia of 0.242 kg·m2 about its central axis decreases from 9.30 to 0.230 kg·m2/s in 4.40 s. What is the magnitude of the average torque acting on the flywheel about its central axis during th..
A bottle rocket is launched at an angle of 30 degrees from the ground with a speed of 200m/s. What is the range of the rocket if it lands on level ground
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A capacitor with C = 36.0 mF is placed in series with a 12.0-V battery and an inductor having L = 350 mH. What is the frequency of electromagnetic oscillations in the circuit
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