5
Question
In the figure shown below, find the torque due to the force of 5 N, about point O and A.
In the figure shown below, find the torque due to the force of 5 N, about point O and A.
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Solution
The correct option is D 6 Nm along −z direction, 6 Nm along +z direction
Given, |→F|=5 N
⇒→F=4^i+3^j
(from the diagram)
To find torque about ′O′:
→τ=−−→OB×→F
Here, −−→OB=2^i+3^j
→τ=∣∣
∣∣ijk230430∣∣
∣∣=−6^k Nm
To find torque about ′A′:
→r=−−→AB=2^i
Torque (→τ)=−−→AB×→F=∣∣
∣
∣∣^i^j^k200430∣∣
∣
∣∣
=6^k Nm
Given, |→F|=5 N
⇒→F=4^i+3^j
(from the diagram)
To find torque about ′O′:
→τ=−−→OB×→F
Here, −−→OB=2^i+3^j
→τ=∣∣ ∣∣ijk230430∣∣ ∣∣=−6^k Nm
To find torque about ′A′:
→r=−−→AB=2^i
Torque (→τ)=−−→AB×→F=∣∣ ∣ ∣∣^i^j^k200430∣∣ ∣ ∣∣
=6^k Nm
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