Figure shows a lamina in x-.y plane. Two axes z and z' pass perpendicular to its plane. A force F acts in the plane of lamina at point P as shown. Which of the following statements is incorrect? (The point P is closer to z'-axis than the z-axis).
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a
Torque τ caused by F about Z axis is along k^
b
Torque τ' caused by F about z' axis is along -k^
c
Torque caused by F about z axis is greater in magnitude than that about z' axis.
d
Total torque is given by τ = τ+τ'
answer is D.
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Detailed Solution
The direction of τ→ is given by right handed screw rule.According to this rule, the direction of τ→ caused by F→ about z axis is along k^.Hence, option (1) is correct.Again, according to this rule, the direction of τ→1 caused by F→ about z' axis is along -k^Hence, option (2) is also correct.As τ → = r→ ×F→ and P closer z'axis, therefore, τ→1 caused about z' axis is smaller than τ→ .Hence option (3) is also correct.It is meaningless to add torques about two different axes.Hence, option (4) is incorrect.