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Chapter 12: Q.40 (page 332)

Force F鈫�=鈭�10确^Nis exerted on a particle at r鈫�=(5谋^+5确^)m. What is the torque on the particle about the origin?

Short Answer

Expert verified

The particle's torque around the origin is鈭�(50N鈰�m)k^.

Step by step solution

01

Formula for torque

Another technique to combine two vectors is to use the vector or cross product, which produces a vector that is perpendicular to both of the originals.

Torque is the cross product of the radius vector (from the axis of rotation to the site of force application) and the force vector in vector form.

T=r脳F

Tis torque.

F is force.

02

Calculation of Torque

The torque on the particle of origin

r脳F=ijk5m5m0m0N鈭�10N0N

=i(0)鈭�j(0)+k((5m)(鈭�10N)鈭�0N鈰�m)


=鈭�k(50N鈭�m)

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