8 20. A wheel of mass m - 1.19 kg and moment of inertia, /-0.820 kg-m² is supported by a pivot a distance d-0.30 m from the wheel, as shown in the diagram. The axle through the wheel is initially in the horizontal plane, as shown, and the wheel is spinning about the axis in the sense indicated, with an angular velocity co-570 rad's. Answer the following three questions using the choices given; e.g., if the answer to the first question is A, and to the second and third question, B, enter ABB. You only have 7 tries! i) Assuming that the majority of the angular momentum of the wheel comes from the spinning of the wheel about its axis, what is the direction of the angular momentum vector? A)-k B)-j C) D)j E)-i F)k G) None of these ii) The force of gravity acts on the wheel. What is the direction of the torque (vector) that acts on the wheel about the pivot point? A)-k B)-j C) i D)j E)-i F)k G) None of these iii) Recall that r dz/dr, hence ALTA, and LLAL. In response to the conditions above, in addition to spinning about the axle, the axle and wheel will A) precess (i.e., rotate in the horizontal plane) about the z-axis in a clockwise sense when viewed from above. B) precess about the z-axis in a counter-clockwise sense when viewed from above. C) rotate downward in the vertical plane that contains the axle and the support.
8 20. A wheel of mass m - 1.19 kg and moment of inertia, /-0.820 kg-m² is supported by a pivot a distance d-0.30 m from the wheel, as shown in the diagram. The axle through the wheel is initially in the horizontal plane, as shown, and the wheel is spinning about the axis in the sense indicated, with an angular velocity co-570 rad's. Answer the following three questions using the choices given; e.g., if the answer to the first question is A, and to the second and third question, B, enter ABB. You only have 7 tries! i) Assuming that the majority of the angular momentum of the wheel comes from the spinning of the wheel about its axis, what is the direction of the angular momentum vector? A)-k B)-j C) D)j E)-i F)k G) None of these ii) The force of gravity acts on the wheel. What is the direction of the torque (vector) that acts on the wheel about the pivot point? A)-k B)-j C) i D)j E)-i F)k G) None of these iii) Recall that r dz/dr, hence ALTA, and LLAL. In response to the conditions above, in addition to spinning about the axle, the axle and wheel will A) precess (i.e., rotate in the horizontal plane) about the z-axis in a clockwise sense when viewed from above. B) precess about the z-axis in a counter-clockwise sense when viewed from above. C) rotate downward in the vertical plane that contains the axle and the support.
Transcribed Image Text:20.1
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A wheel of mass m - 1.19 kg and moment of inertia, /-0.820 kg-m² is supported by a pivot a distance d-0.30 m from the wheel, as shown in
the diagram. The axle through the wheel is initially in the horizontal plane, as shown, and the wheel is spinning about the axis in the sense
indicated, with an angular velocity = 570 rad/s. Answer the following three questions using the choices given; e.g., if the answer to the first
question is A, and to the second and third question, B, enter ABB. You only have 7 tries!
i) Assuming that the majority of the angular momentum of the wheel comes from the spinning of the wheel about its axis, what is the direction
of the angular momentum vector?
A)-k B)-j C) D)j E)-i F)k
G) None of these
ii) The force of gravity acts on the wheel. What is the direction of the torque (vector) that acts on the wheel about the pivot point?
A)-k B)-j C) i D)j E)-i F) k
G) None of these
iii) Recall that r - dz/dr, hence ALTA, and LLAL. In response to the conditions above, in addition to spinning about the axle,
the axle and wheel will
A) precess (i.e., rotate in the horizontal plane) about the z-axis in a clockwise sense when viewed from above.
B) precess about the z-axis in a counter-clockwise sense when viewed from above.
C) rotate downward in the vertical plane that contains the axle and the support.
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