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Q.

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

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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^.
Again, according to this rule, the direction of τ' caused by F about z'-axis is along -k^
As τ  = r ×F and P closer z'-axis, therefore, τ' caused about z' axis is smaller than τ .
It is meaningless to add torques about two different axes.

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