Question:medium

Given below are two statements:
Statement (I): A kinematic link may consist of several parts rigidly fastened together so that they do not move relative to one another.
Statement (II): A kinematic link need not be a rigid body but it must be a resistant body.
In light of the above statements, choose the most appropriate answer from the options given below.

Show Hint

Recall the standard textbook definition of a kinematic link and what "resistant body" means.
  • Both Statement (I) and Statement (II) are true.
  • Both Statement (I) and Statement (II) are false.
  • Statement (I) is true but Statement (II) is false.
  • Statement (I) is false but Statement (II) is true.
Show Solution

The Correct Option is A

Solution and Explanation

We can check both statements against real examples instead of just repeating the definition.
For Statement (I), take the connecting rod of an engine. It is built with separate bushes or bearings fitted into its ends, yet the whole assembly acts as a single link because none of its parts move relative to each other while running. This example directly supports Statement (I), so it is true.
For Statement (II), think of a belt or a chain used to transmit motion between two shafts. A belt is not a rigid body since it can bend and flex, yet it still transmits tension and motion reliably, so it is treated as a resistant body and accepted as a link in machine theory. This example directly supports Statement (II), so it is true as well.
Both real examples confirm the statements describe accepted, working cases, so both are true.
\[\boxed{\text{Both statements are true}}\]
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