Find out torque about points A- O and B if F-10 -

The correct option is C Torque about point A,r⃗_A=r⃗_A×F⃗,r⃗_A=3îF⃗=10î r⃗_A=3î×10î=0 Torque about point B,r⃗_B=r⃗_B×F⃗,r⃗_B=5ĵ,F⃗=10ĵ r⃗_B=5ĵ×10î= 50k̂ Torqu ...

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Byju's Answer

Standard XII

Physics

Pure Rotation about an Axis

Find out torq...

Question

Find out torque about points $A$ , $O$ and $B$ if $\to F$ = $10^i$

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Solution

The correct option is C

Torque about point A, ${\to r}_{A} = {\to r}_{A} \times \to F, {\to r}_{A} = 3^i \to F = 10^i$
${\to r}_{A} = 3^i \times 10^i = 0$
Torque about point B, ${\to r}_{B} = {\to r}_{B} \times \to F, {\to r}_{B} = 5^j, \to F = 10^j$
${\to r}_{B} = 5^j \times 10^i = - 50^k$
Torque about pointO , ${\to r}_{0} = {\to r}_{0} \times \to F, {\to r}_{0} = 3^i + 5^j, \to F = 10^i$
${\to r}_{0} = (3^i + 5^j) \times 10^i = - 50^k$

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Find out torque about points A, O and B if →F = 10^i

The correct option is C Torque about point A,→rA=→rA×→F,→rA=3^i→F=10^i →rA=3^i×10^i=0 Torque about point B,→rB=→rB×→F,→rB=5^j,→F=10^j →rB=5^j×10^i=−50^k Torque about pointO ,→r0=→r0×→F,→r0=3^i+5^j,→F=10^i →r0=(3^i+5^j)×10^i=−50^k

Find out torque about points $A$ , $O$ and $B$ if $\to F$ = $10^i$