Question:

If a street light of mass $M$ is suspended from the end of a uniform rod of length $L$ in different possible patterns as shown in figure, then :

Updated On: Jul 5, 2022
  • pattern A is more sturdy
  • pattern B is more sturdy
  • pattern C is more sturdy
  • all will have same sturdiness
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The Correct Option is A

Solution and Explanation

For equilibrium of street light, $mg \times x = T \times y$
or $T =\frac{ mg \cdot x }{ y }$ For $T$ to be minimum, $y$ should be maximum. Hence, pattern $A$ is more sturdy.
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Concepts Used:

System of Particles and Rotational Motion

  1. The system of particles refers to the extended body which is considered a rigid body most of the time for simple or easy understanding. A rigid body is a body with a perfectly definite and unchangeable shape.
  2. The distance between the pair of particles in such a body does not replace or alter. Rotational motion can be described as the motion of a rigid body originates in such a manner that all of its particles move in a circle about an axis with a common angular velocity.
  3. The few common examples of rotational motion are the motion of the blade of a windmill and periodic motion.