1. Tardigrade
  2. Question
  3. Physics
  4. Consider the following statements and select the correct statement(s). I. Angular frequency is a vector quantity II. Linear velocity is a vector quantity III. About a fixed axis, angular velocity has fixed direction IV. Every point on a rigid rotating body has always different angular velocity

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Q. Consider the following statements and select the correct statement(s).
I. Angular frequency is a vector quantity
II. Linear velocity is a vector quantity
III. About a fixed axis, angular velocity has fixed direction
IV. Every point on a rigid rotating body has always different angular velocity

System of Particles and Rotational Motion

Solution:

Torque $=$ Force $\times$ perpendicular distance of line of action of force from the axis of rotation (d). Hence for a given applied force, torque or true tendency of rotation will be high for large value of $d$. If distance $d$ is smaller, then greater force is required to cause the same torque, hence it is harder to open or shut down the door by applying a force near the hinge.