Find the torque of a force F = 7i + 3j+5k about the origin the force acts on a particle - Physics - System Of Particles And Rotational Motion

Question

Find the torque of a force F = 7i + 3j+5k about the origin the
force acts on a particle whose position vector is r= i+ j +k

Hempushp Katara · Accepted Answer

Dear Student

Force (F→) = (7i + 3j+5k) and Point ( r→) = ( i+ j +k )
  So, torque (τ)  = r→×F→ ⇒ τ  =i^j^k^735111 ⇒ τ =(3 - 5)i^ - (7+ 5)j^+ (7 -3)k^  = (- 2i^- 12j^ +4k^ )  and the magnitude of the torque be = 22+122 +42  = 164 =241

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Find the torque of a force F = 7i + 3j+5k about the origin the force acts on a particle whose position vector is r= i+ j +k