Question

The three similar torque (t) are acting at an angle of 120° with each other. The resultant torque will
be:​

Answer 1

torque=force*perpendicular displacement

in terms of angle=F*D*sin theta

here 3 similar torques are acting soo..

one single torque=t=F*D*sin(120)

F*D*sin(90+30)

sin is positive in 1st quadrant so

t=F*D*sin30=F*D*(1/2)

since 3 torques act with each other

total torque=T=t+t+t

T=(3/2)t

hope this helps :)

Answer 2

The resultant torque will be zero .

Given :

Three similar torque are acting at an angle of 120° with each other.

Now , we know when two vectors of same magnitude and the angle between them is 120 degree , they sum up and give a vector of same magnitude and the directing is in between the two vectors i.e 60 degree form each vector .

So, when this resultant vector is added to the third vector of same magnitude but in opposite direction . The resultant sum is zero .

Hence , this is the required solution .

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Vectors

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