Applied Mechanics

Q1: If a body is acted upon by a number of coplaner non-concurrent forces, it may

A rotate about itself without moving

B move in any one direction

C move in any one direction rotating about itself

D be completely at rest

E all the above.

ANS:E - all the above.

  1. Rotate about itself without moving: If the net torque (resultant moment) acting on the body is nonzero but the net force is zero, the body will rotate about its center of mass without translating or moving in any particular direction.
  2. Move in any one direction: If the net force acting on the body is nonzero and there is no net torque, the body will move in the direction of the resultant force according to Newton's second law (F=ma).
  3. Move in any one direction rotating about itself: This scenario can occur if there is both a net force and a net torque acting on the body. The body will move in the direction of the resultant force and simultaneously rotate about its center of mass due to the net torque.
  4. Be completely at rest: This will happen if the vector sum of all the forces acting on the body is zero (resultant force is zero) and the sum of all the torques (resultant moment) acting on the body is also zero.
Therefore, the correct answer is: all the above. Depending on the specific forces acting on the body, any of these outcomes may occur.



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