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PHY 104 Oscillatory Motion Objective Question
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Question

At what displacement (x) are the kinetic and potential energies equal for an object in Simple Harmonic Motion (SHM)?
Options
A x = A
B x = A/√2
Correct Answer
C x = A/2
D x = 0
Correct Answer

Option B is the correct answer.

Detailed Explanation

From Worked Example 40 (page 43), for K.E = P.E, we have ½mv² = ½kx². Also, E_T = ½kA² = K.E + P.E = 2 * P.E = 2 * (½kx²) = kx². So, ½kA² = kx², which simplifies to A² = 2x², or x² = A²/2. Therefore, x = A/√2.

Hint

Set the potential energy (P.E = ½kx²) equal to the kinetic energy (K.E = ½mv²) and use the total energy relationship (E_T = ½kA²).

Question Info

Course: PHY 104
Topic: Oscillatory Motion
Type: Objective
Difficulty: Not specified
Question 273 of 947
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