Assertion: A particle executing simple harmonic motion comes to rest at the extreme positions . Reason: The resultant force on the particle is zero at these positions.

Question

Assertion: A particle executing simple harmonic motion comes to rest at the extreme positions . Reason: The resultant force on the particle is zero at these positions. (A) If both Assertion and Reason are correct and the Reason is a correct explanation of the Assertion. (B) If both Assertion and Reason are correct but Reason is not a correct explanation of the Assertion. (C) If the Assertion is correct but Reason is incorrect. (D) If the Assertion is incorrect and Reason is correct.

Tardigrade Admin · Accepted Answer

The force at the extreme position is, F=m ω2 A.

Q. Assertion : A particle executing simple harmonic motion comes to rest at the extreme positions .
Reason : The resultant force on the particle is zero at these positions.

If both Assertion and Reason are correct and the Reason is a correct explanation of the Assertion.

If both Assertion and Reason are correct but Reason is not a correct explanation of the Assertion.

If the Assertion is correct but Reason is incorrect.

If the Assertion is incorrect and Reason is correct.

The force at the extreme position is, $F = m ω^{2} A$ .

Q. Assertion : A particle executing simple harmonic motion comes to rest at the extreme positions . Reason : The resultant force on the particle is zero at these positions.