Question
A force of (2ˆi−4ˆj+2ˆk)N acts at a point (3ˆi+2ˆj−4ˆk) metre from the origin. The magnitude of torque is
Answer: Option B
:
B
⃗F=(2ˆi−4ˆj+2ˆk)N and ⃗r=(3i+2−4ˆk) meter
Torque ⃗τ=⃗r×⃗F=∣∣
∣
∣∣ˆiˆjˆk32−42−42∣∣
∣
∣∣⇒⃗τ=−12ˆi−14ˆj−16ˆj−16ˆkand|⃗τ|=√(−12)2+(−14)2+(−16)2=
24.4 N-m
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:
B
⃗F=(2ˆi−4ˆj+2ˆk)N and ⃗r=(3i+2−4ˆk) meter
Torque ⃗τ=⃗r×⃗F=∣∣
∣
∣∣ˆiˆjˆk32−42−42∣∣
∣
∣∣⇒⃗τ=−12ˆi−14ˆj−16ˆj−16ˆkand|⃗τ|=√(−12)2+(−14)2+(−16)2=
24.4 N-m
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