Question

if f=2i+j+2k, r=i+j+2k find torque​

Answer 1

Answer:

A force, I+2j-3k, is acting at a point, (2,-3,6). What is torque of this force about a position, vector 2i-5j+3k?

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Torque is basically the cross product of the position vector r (about a point) and the force F acting at that particular point (i.e. the point whose position vector is r)

Here, the position vector r

= position of the point (2,-3,6) with respect to the point 2i - 5j + 3k

= ( 2i - 3j + 6k ) - ( 2i - 5j + 3k )

= 2j + 3k

Force F = i + 2j - 3k

So, Torque (T)

= r * F

=

= i (2*-3 - 2*3) - j (0*-3 - 1*3) + k (0*2 - 1*2)

= -12i + 3j - 2k

Required torque = -12i + 3j - 2k

Hope it helps.