Find the torque of a force `F=-3hat(i)+2hat(j)+hat(k)` acting at the point `r=8hat(i)+2hat(j)+3hat(k),(iftau=rxxF)`

Question

Find the torque of a force `F=-3hat(i)+2hat(j)+hat(k)` acting at the point `r=8hat(i)+2hat(j)+3hat(k),(iftau=rxxF)`

Find the torque of a force `F=-3hat(i)+2hat(j)+hat(k)` acting at the point `r=8hat(i)+2hat(j)+3hat(k),(iftau=rxxF)`
A. `14hat(i)-38hat(j)+16hat(k)`
B. `4hat(i)+4hat(j)+6hat(k)`
C. `-14hat(i)+38hat(j)-16hat(k)`
D. `-4hat(i)-17hat(j)+22hat(k)`

Monjur Alahi

4 views

2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Salim Ahmed Kawsar

Correct Answer - D
(d) Torque of the force, `tau=rxxF`
`tau=|{:(hat(i),hat(j),hat(k)),(8,2,3),(-3,2,1):}|`
`=hat(i)(2-6)-hat(j)(8+9)+hat(k)(16+6)`
`=-4hat(i)-17hat(j)+22hat(k)`

4 views Answered 2023-02-05 15:29