Question 01- (a) In Figure 01(A), you see a thin bar of length, L, with constant linear mass density, A. if it were to r

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Question 01 A In Figure 01 A You See A Thin Bar Of Length L With Constant Linear Mass Density A If It Were To R 1 (55.12 KiB) Viewed 44 times

Question 01- (a) In Figure 01(A), you see a thin bar of length, L, with constant linear mass density, A. if it were to rotate about the center point 0.50L from the left end, use the definitional relationship that I = fr'dm to find the resulting moment of inertia in terms of 2 and L. (5 points) (b) What is the resulting moment of inertia in terms of the total mass of the bar, M, and the length of the bar. L? (5 points) (c) In Figure 01(B), we now see that the same bar (of length L, mass M, and constant linear mass density A) is now pinned to the floor at a different point, 0.25L from one end of the bar. Use the parallel axis theorem that l = Icom +MD² to determine the moment of inertia about this new rotational axis. (5 points) (d) In Figure 01(C) we see that now there is also a firecracker placed 0.25L from the other side of the bar such that it exerts a constant force, F, perpendicular to the length of the bar. What is the resulting magnitude of the angular acceleration of the bar? Please answer in terms of L, M, and F. You may ignore any effects of friction. (5 points) (e) If the bar begins its rotational acceleration from rest, after how much time, At, will the angular speed of the bar have a magnitude of ? Please answer in terms of L, M, F, and w. You may still ignore any effects of friction. (5 points) (f) Plug in values L=2.0-m, M=4.0-kg (or A-2.0-kg/m if you prefer), co, careful to show your work. Do the resulting units for the time required, of extra credit) 1.5 rad/s, and F= 3.5-N being At, make sense? Explain, (1 point Figure 01(A)-Bar of constant linear mass density, A, shown along the x-axis. The rotation axis is shown hore as parallel to the z-axis at the center of the bar. Figure 01(B)-Top-down view of bar laying on frictionicss floor and pinned to floor at 0,25L from one end Figure 01(C)-Top-down view of bar laying on frictionless floor and pinned to floor at 0.251 from one end A firecracker is oriented such that it exerts a constant force, F, perpendicular to the bar at a distance of 0.25L from the opposite end 0.25L Pin-Bar is free to rotate Pin-Bar is free to rotate about this point about this point 0.25L 0.25L 050L -0.50L