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PHY 104 PHY 104 Past Questions Objective Question
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Question

The angular velocities of three bodies in simple harmonic motion are ω_A, ω_B, ω_C, with their respective amplitudes as A_A, A_B, A_C. If all three bodies have the same mass and maximum velocity, then
Options
A ω_A A_A = ω_B A_B = ω_C A_C.
Correct Answer
B ω_A^2 A_A = ω_B^2 A_B = ω_C^2 A_C.
C ω_A A_A^2 = ω_B A_B^2 = ω_C A_C^2.
D ω_A^2 A_A^2 = ω_B^2 A_B^2 = ω_C^2 A_C^2.
Correct Answer

Option A is the correct answer.

Detailed Explanation

For an object in simple harmonic motion, the maximum velocity (v_max) is given by v_max = Aω, where A is the amplitude and ω is the angular velocity. If all three bodies have the same maximum velocity, then Aω must be a constant for all of them, leading to A_Aω_A = A_Bω_B = A_Cω_C.

Hint

Recall the formula for maximum velocity in Simple Harmonic Motion.

Question Info

Course: PHY 104
Topic: PHY 104 Past Questions
Type: Objective
Difficulty: Not specified
Question 720 of 947
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