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).

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).

  1. A

    Torque τ caused by F about Z axis is along k^

  2. B

    Torque τ' caused by F about z' axis is along -k^

  3. C

    Torque caused by F about z axis is greater in magnitude than that about z' axis.

  4. D

    Total torque is given by τ = τ+τ'

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    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 τ1 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, τ1 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.

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