Figure 12-19 shows an overhead view of a uniform stick on which four forces act. Suppose we choose a rotation axis through point O , calculate the torques about that axis due to the forces, and find that these torques balance. Will the torques balance if, instead, the rotation axis is chosen to be at (a) point A (on the stick), (b) point B (on line with the stick), or (c) point C (off to one side of the stick)? (d) Suppose, instead, that we find that the torques about point O do not balance. Is there another point about which the torques will balance? Figure 12-19 Question 6.
Figure 12-19 shows an overhead view of a uniform stick on which four forces act. Suppose we choose a rotation axis through point O , calculate the torques about that axis due to the forces, and find that these torques balance. Will the torques balance if, instead, the rotation axis is chosen to be at (a) point A (on the stick), (b) point B (on line with the stick), or (c) point C (off to one side of the stick)? (d) Suppose, instead, that we find that the torques about point O do not balance. Is there another point about which the torques will balance? Figure 12-19 Question 6.
Figure 12-19 shows an overhead view of a uniform stick on which four forces act. Suppose we choose a rotation axis through point O, calculate the torques about that axis due to the forces, and find that these torques balance. Will the torques balance if, instead, the rotation axis is chosen to be at (a) point A (on the stick), (b) point B (on line with the stick), or (c) point C (off to one side of the stick)? (d) Suppose, instead, that we find that the torques about point O do not balance. Is there another point about which the torques will balance?
(a) A pivot is placed under the beam at x = 5. Calculate the total torque around the pivot and state whether the beam is rotating clockwise or counter-clockwise
(b) The pivot is moved such that the beam is now in equilibrium. Find the new x-position of the pivot.
A 208N force is applied to a 0.93m long uniform rod (shown in the figure) at the end opposite the pivot point. The angle 01 is equal to 25° and 02 equals 67°.
02
Pivot
point
The magnitude of the torque due to F about some pivot point is determined by T| = rFsin0.
Determine the magnitude of the torque, T, on the rod about the pivot point due to F.
F
y
mg
f.Y
Frxe
f,x
Axis
The ladder in the picture has a mass of 32
kilograms and a length 3.2 meters. What is
the normal force pushing the ladder up from
the floor?
FN =
Assume that the ladder's weight is evenly
distributed, so it can be treated as a single
force through the middle. If the ladder is at a
60° angle from the ground, what is the torque
exerted by the weight (using the floor as the
pivot point)?
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