The figure shows an object that can pivot around the dot near the left side. The

Question

The figure shows an object that can pivot around the dot near the left side.
There are two locations (#1 and #2) where a force can be applied,
and three forces (a, b, c) of equal magnitude, but different directions.
We will use ?a,1, to describe the torque resulting from applying force a at location 1, etc.

Which of the following statements are true?

1)?a,1, > ?b,1,

2)?c,2, > ?a,2,

3)?b,1, > ?c,2,

4)?c,1, = ?c,2,

5)?a,2, is the largest possible torque

6)?c,1, = 0

7)?b,1, < ?c,2

8)?b,1, > ?b,1,

Please explain your reasoning.

Explanation / Answer

her872

here,

torque = r X F

the torque depends on both angle and the distance of the pivot

for maximum torue the angle between the force and r vector should be 90 degree

therefore the true statements are,

1)ta,1, > tb,1,

3)tb,1, > tc,2,

4)tc,1, = tc,2,

5) ta2 is the largest possible torque as the distance is maximum and the angle is 90 degree

6)tc,1, = 0 , as the angle is 0 degree

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