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.

(1)Which of the following statements are true?

(A)?b,1, > ?c,2,

(B)?a,1, > ?b,1,

(C)?c,1, = 0

(D)?b,1, > ?b,1,

(E)?a,2, is the largest possible torque

(F)?b,1, < ?c,2,

(G)?c,2, > ?a,2,

(H)?c,1, = ?c,2,

Please explain your reasoning

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Explanation / Answer

Here ,

as the moment of a force about a point

Moment = force * distance * cos(theta)

as force C is parallel to displacement

theta = 0 degree , Moment of C = 0 N.m

the true statements is

(A)b,1, > c,2

as moment of C is zero

(B)a,1, > b,1

as cos(theta) for a is greater than cos(theta) for b

(C)c,1, = 0

as cos(theta) = 0 from c

(E)a,2, is the largest possible torque

True

(H)c,1, = c,2

as moment of C about both moments is zero

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