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    Standford
    Jun-1997 - Sep-2000

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    Honeywell
    Aug-2001 - Present

Category > Applied Sciences Posted 06 May 2017 My Price 8.00

Consider the rotating disk

Consider the rotating disk with an offset slot, as shown in Figure 9.28. Inside the slot is a particle P of mass m connected to a spring with spring constant k. The disk has mass M and moment of inertia I about the center axis (not including the small mass m). The disk is free to rotate about its axis by an angle θ. You can assume that the unstretched length of the spring is zero and at t = 0 the spring is stretched by an amount x0

a. Show that the equations of motion for the mass in the slot and the angle θ of the disk are

b. Is energy conserved?

c. What is the total angular momentum  of the system? Is it conserved?

d. Suppose we start the system by offsetting the mass an amount x0 = 60 cm. If the disk has a radius of 1 m, I = 2.5 kg-m2, l = 75 cm, m = 0.25 kg, and k = 1N/m, use matlab to simulate the motion of the mass and the disk over the time interval [0, 20] s. Plot x versus t, θ versus t, and 

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IT KING
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Status NEW Posted 06 May 2017 10:05 AM My Price 8.00

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